
	Where results make sense

Topic: Conformal field theories

Related Topics

Supergravity

Superstring theory

Quantum gravity

Conformal group

String theory

Twistor

Loop quantum gravity

Generalized special orthogonal group

Vertex operator algebra

Supersymmetry

Complex number

Virasoro algebra

Hyperbolic geometry

Riemann sphere

Holomorphic function

In the News (Sun 27 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	IPAM Conformal Field Theory Program
		Methods of quantum field theory may be applied to problems of topological invariants of knots and instanton moduli spaces as well and have led to a wealth of new results in pure mathematics.
		Conformal field theories are quantum field theories that are invariant under conformal — and in particular scaling — symmetry.
		The perturbative expansion of string theory in powers of the coupling constant may be formulated in terms of conformal field theories on families of two-dimensional compact Riemann surfaces, whose genus is the order of the expansion.
	www.ipam.ucla.edu /programs/cft2001 (1082 words)

	[No title]
		In the language of string theory, where the surface of your doughnut is the worldsheet of a string, the limit Im(z) -> +infinity corresponds to the "particle limit", where the worldsheet of the string degenerates to the worldline of a particle.
		So, given that a conformal field theory is something like a string theory, and given that the worldsheet of a string is a Riemann surface, you shouldn't be surprised that given any compact Riemann surface and any conformal field theory we can try to compute a number called the "partition function".
		Perturbatively, string theory in a given background is described by a conformal field theory.
	math.ucr.edu /home/baez/twf_ascii/week197 (5616 words)

	Conformal Field Theory (L24) (Site not responding. Last check: 2007-10-14)
		Conformal field theories have been an active area of research for the last thirty years with activity intensifying during the last fifteen or so in the case of two-dimensional field theories.
		Conformal field theory can thus be regarded as a deep subject relating apparently disparate areas of mathematics and physics.
		In this case, the infinitessimal conformal transformations are described by the Virasoro algebra, which for this reason is of fundamental importance in string theory.
	www.maths.cam.ac.uk /CASM/courses/02-03/descriptions/node69.html (455 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		Two kinds of these biharmonic field theories are distinguished, characterized by the possibility or not of the scalar fields to transform non-trivially under Weyl transformations.
		Of course, the biharmonic equation is not conformally invariant.
		Exploiting the Hodge decomposition for the gauge fields $A_\alpha $: \begin{equation} A_z=\partial _z\chi +\partial _z\varphi\qquad\qquad\qquad A_{\overline{z}}=\partial _{\overline{z}}\chi -\partial _{\overline{z}% }\varphi \label{hodgedec} \end{equation} one obtains: \begin{equation} S_{Maxwell}=\int d^2z(\bigtriangleup \varphi)^2 \label{biharmax} \end{equation} \noindent Thus the QED action is not conformally invariant in $% 2-d$.
	www.science.unitn.it /~fferrari/higdev7.html (2639 words)

	Research Descriptions
		The Verlinde conjecture and its well-known physical proof by Moore and Seiberg based on axioms for rational conformal field theories have played a fundamental role in the development of conformal field theory and have led to surprising mathematical results.
		Modular tensor categories are a fundamental structure underlying the constructions of the quantum invariants of knots and three manifolds and of three-dimensional topological field theories.
		The main goal of my research is and has been to mathematically construct conformal field theories in the sense of Kontsevich and Segal and to apply the results obtained in the construction to solve problems in algebra, geometry, topology and mathematical physics.
	www.rci.rutgers.edu /~yzhuang/math/results.html (1192 words)

	Mirago : Science: Physics: Quantum Mechanics: Quantum Field Theory: Conformal
		An Introduction to Conformal Field Theory - A comprehensive introduction to two-dimensional conformal field theory is given.
		Conformal Field Theory: a case study - This is a set of introductory lecture notes devoted to the Wess-Zumino-Witten model of two-dimensional conformal field theory.
		Notes on 2D Conformal Field Theory and String Theory - An explanation of the basics of conformal theory using the language of chiral algebras of Beilinson and Drinfeld.
	www.miragorobot.com /scripts/dir.aspx?cat=Top/Science/Physics/Quantum_Mechanics/Quantum_Field_Theory/Conformal (182 words)

	Quantum Math Seminar
		Abstract In the conformal field theories associated to affine Lie algebras (the Wess-Zumino-Novikov-Witten models) and to Virasoro algebras (the minimal models), the Knizhnik-Zamolodchikov equations and the Belavin-Polyakov-Zamolodchikov equations, respectively, play a fundamental role.
		Immediate applications of these equations are a construction of braided tensor categories on the category of modules for the vertex operator algebra and a construction of intertwining operator algebras (or chiral genus-zero conformal field theories) from irreducible modules for the vertex operator algebra.
		Abstract Conformal field theories were defined mathematically around 1987 by Kontsevich and Segal in terms of properties of path integrals.
	www.math.rutgers.edu /~seminars/old/Fall2001/QuantumMath.html (677 words)

	Swansea theoretical physics staff (Site not responding. Last check: 2007-10-14)
		Gauge and string theories of the fundamental forces; conformal field theories and their breaking to integrable field theories; the origin of mass.
		String theory, both as a fundamental theory of quantum gravity and as a calculational technique in QCD; conformal field theory.
		Non-perturbative approaches to 2-dimensional quantum field theories, especially asymptotic freedom and other renormalisation group phenomena; massive integrable quantum field theories, renormalisation group trajectories and exact scattering matrices; integrability of 2-dimensional quantum gravity and applications to string theory.
	python.swan.ac.uk /theory/msc/staff.html (274 words)

	Introduction to Conformal Field Theory (Site not responding. Last check: 2007-10-14)
		Conformal symmetry is a powerful tool for studying critical behaviour, particularly as applied to two-dimensional classical systems, and to quantum systems in one dimension.
		The mathematical tools of conformal field theory are also important in string theory, as well as for their own interest.
		A familiarity with the role of the stress-energy tensor in field theory would be useful, as well as the basics of complex analysis.
	www-thphys.physics.ox.ac.uk /users/JohnCardy/cft00.html (213 words)

	Citebase - The Logarithmic Conformal Field Theories (Site not responding. Last check: 2007-10-14)
		The local logarithmic conformal field theory corresponding to the triplet algebra at c=-2 is constructed.
		Conformal field theories with correlation functions which have logarithmic singularities are considered.
		It is shown that those singularities imply the existence of additional operators in the theory which together with ordinary primary operators form the basis of the Jordan cell for the operator...
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:hep-th/9610168 (1119 words)

	Meeting on Boundary Conformal Field Theory and its Perturbations (Site not responding. Last check: 2007-10-14)
		Affine Toda field theories are closely related to the free field representations of perturbed conformal field theories.
		There will be two introductory talks, one on boundary conformal field theory in general, given by I Runkel, and one on its relation to integrable models, given by G Watts There will also be two specialised talks, by J-B Zuber and A Tsvelik.
		Viewing integrable models as perturbed conformal field theories is often helpful, and there are precise analytical and numerical results from conformal field theory for quantities which are also accessible using TBA techniques (to be discussed in another meeting).
	www.york.ac.uk /depts/maths/physics/boundary/bcft.html (586 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		The scaling limit of many statistical models on the plane is described by quantum field theories which are exactly solvable within the scattering framework familiar to particle physicists.
		Perturbation theory around integrable models is somehow unconventional for quantum field theory (the unperturbed theory is itself interacting and the first order corrections are already non-trivial) but can be performed exploiting the exact knowledge of the matrix elements of the operators on the asymptotic states (form factors).
		Examples of results obtained in this way are the corrections to the energy spectrum of the Ising field theory with both temperature and magnetic field as well as the prediction of phase transitions in the deep non-perturbative regime and the confinement of topological excitations.
	www.sissa.it /fm/statistical_field_theory_topics.html (281 words)

	ICMP 2003: Quantum field theory [Sessions] (Site not responding. Last check: 2007-10-14)
		The non-interacting multi-string theory is described by certain free string field operators which we construct.
		Quantum fields are well-known to violate all the pointwise energy conditions of classical general relativity.
		Loop quantum gravity is an attempt to define a non-perturbative, background independent quantum field theory of Lorentzian General Relativity and all known matter in four spacetime dimensions.
	icmp2003.net /sessions/qft (537 words)

	UCH HEP Research
		This direction is mainly connected with AdS/CFT correspondence and the study of superconformal field theories, such as N=4 SYM, their anomalous dimensions, thermal properties and various deformations leading to less supersymmetric conformal field theories.
		Regarding research on the string/gauge correspondence, the group is active in studies of the stringy properties of the spectrum in various conformal and superconformal field theories, such as integrability and the relation with the energy spectrum of semiclassical strings.
		We focus on the holography of Higher-Spin Theories which is pressumably connected with the description of free and weakly-coupled gauge theories.
	hep.physics.uoc.gr /Research.html (716 words)

	Katrin Wendland (Site not responding. Last check: 2007-10-14)
		My main research interests are conformal field theory and string theory, and their connections to algebraic and differential geometry.
		We investigate degeneration phenomena in families of conformal field theories and establish an intrinsic notion of limiting processes for unitary CFTs as well as degenerate limits.
		thesis on a connection between the condition of rationality for a conformal field theory and the condition of complex multiplication in an appropriate geometric interpretation of the theory.
	www.maths.warwick.ac.uk /~wendland (1045 words)

	Quantum Math Seminar (Site not responding. Last check: 2007-10-14)
		By studying the theory of operads, a structure introduced by May to study iterated loop spaces, the structure of both vertex operator algebras and vertex operator coalgebras may be developed.
		In genus-zero and genus-one cases, chiral conformal field theories have been constructed from a general class of vertex operator algebras and their representations, and in general these theories have monodromies.
		In genus-zero, such conformal field theories are described by what we call "conformal field algebras." In this talk, we will discussion the notion of conformal field algebra, their relation with algebras in tensor categories, and a construction of such algebras.
	www.math.rutgers.edu /~seminars/QuantumMath.html (599 words)

	Nicholas Read
		My research covers several areas of quantum many-body theory with particular emphasis on the two-dimensional electron gas which may be created and studied in semiconductor heterostructures.
		I have developed a theory of the interacting 2D electron gas in high magnetic field which explains its physical properties in terms of a new elementary excitation known as a composite fermion (an electron bound to a fixed amount of magnetic flux).
		This theory makes explicit predictions for the behavior at magnetic fields for which the topmost Landau level is half-filled; experiments provide strong support for the proposed approach.
	www.eng.yale.edu /faculty/vita/read.html (291 words)

	Physics Institute of Bonn University, Theory Department: Conformal Field Theory and String Theory (Site not responding. Last check: 2007-10-14)
		Conformally invariant quantum field theories are exactly solvable in two dimensions due to their infinite-dimensional symmetry group.
		On the world sheet of a string such a conformal theory is defined in a natural way.
		Furthermore, we study conformal field theories on surfaces with boundaries giving rise to new boundary states.
	www.th.physik.uni-bonn.de /th/Groups/Nahm/publist/inkuerze.html (196 words)

	On representations of conformal field theories and the construction of orbifolds (Site not responding. Last check: 2007-10-14)
		We consider representations of meromorphic bosonic chiral conformal field theories, and demonstrate that such a representation is completely specified by a state within the theory.
		The necessary and sufficient conditions upon this state are derived, and, because of their form, we show that we may extend the representation to a representation of a suitable larger conformal field theory.
		As a consequence, we see that the reflection-twisted lattice theories of Dolan et al are truly self-dual, extending the analogies with the theories of lattices and codes which were being pursued.
	www.physics.adelaide.edu.au /mathphysics/abstracts/ADP-95-39-M34.html (195 words)

	Milano String Theory Group Home Page (Site not responding. Last check: 2007-10-14)
		A deep connection between string theory and quantum field theory is known with the name of AdS/CFT correspondence.
		Strings moving in curved spacetimes were shown to correspond holographically to quantum fields that live in the spacetime boundary.
		The main results obtained so far are primarily kinematical, since they are simple consequences of the matching between various symmetries in string theory or supergravity to those in superconformal field theories.
	www.mi.infn.it /~strings/research/stringscft.htm (174 words)

	Strings and Quantum Gravity
		U(N) SYM theory in D = 4 and the (2,0) tensor multiplet in D=6, the ratio of the entropy to the total energy is bounded from above, however the corresponding bounds are less stringent than the Verlinde bound.
		Although bounds for the ratio of the entropy to the total energy seem to arise quite generically in CFTs, their exact values depend on the details of the underlying CFT, e.g., it seems that the bounds become more stringent as one goes from weak to strong coupling.
		Requiring then that the entropy of such a theory be given by a generalization of the two-dimensional entropy, leads to a simple differential equation whose solution yields a finite-size correlation length that turns out to coincide with the horizon distance of (D+1) -dimensional AdS fl holes.
	aesop.phys.utk.edu /research/node9.html (583 words)

	Citebase - Abelian Conformal Field theories and Determinant Bundles (Site not responding. Last check: 2007-10-14)
		The present paper is the first in a series of papers, in which we shall construct modular functors and Topological Quantum Field Theories from the conformal field theory developed in [TUY].
		The Jones-Witten theory gives rise to representations of the (extended) mapping class group of any closed surface Y indexed by a semi-simple Lie group G and a level k.
		There is a large mathematical literature on classical mechanics and field theory, especially on the relationship to symplectic geometry.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0304135 (1068 words)

	Publications Robbert Dijkgraaf (Site not responding. Last check: 2007-10-14)
		Dijkgraaf, E. Verlinde, and H. Verlinde, On Moduli Spaces of Conformal Field Theories with c>=1, in ``Perspectives in String Theory,'' P. Di Vecchia and J.L. Petersen eds.
		Dijkgraaf, Topological Field Theory and 2D Quantum Gravity, Proceedings of the Winter School on ``2D Quantum Gravity and Random Surfaces,'' Jerusalem 1990/91, 191-238.
		Dijkgraaf, Intersection Theory, Integrable Hierarchies and Topological Field Theory, in ``New Symmetry Principles in Quantum Field Theory,'' Ed.
	turing.wins.uva.nl /~rhd/publications.html (1177 words)

	Algebraic orbifold conformal field theories -- Xu 97 (26): 14069 -- Proceedings of the National Academy of Sciences
		Cosets and orbifolds are two methods of producing new two-dimensional conformal field theories from given ones ( 1).
		There is another approach to conformal field theories by using the theory of vertex operator algebras (cf.
		Rehren, K.-H. The Algebraic Theory of Superselection Sectors.
	www.pnas.org /cgi/content/full/97/26/14069 (2285 words)

	Conformal Field Theories by P. Di Francesco, ISBN 038794785X And Double Trouble Squared by Kathryn Lasky, ISBN ... (Site not responding. Last check: 2007-10-14)
		Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles.
		The treatment is self-contained, pedagogical, and exhaustive and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras, and affine Lie algebras.
		Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, or statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics.
	www.thephilocafe.com /di.htm (260 words)

	ScienceDaily -- Browse Topics: Science/Physics/Quantum_Mechanics
		Quantum and Braided Spin - The modern Kaluza-Klein theories of unification of gauge fields and gravitation, the theories of grand unification and, more recently, superfield, super-string, membrane and conformal field theories have enhanced the role of the geometry of multidimensional spaces in fundamental theoretical physics.
		Encyclopedia.com - Quantum Theory - Includes a basic introduction to what this theory is, and links to relevant journal and magazine articles.
		An introduction to Quantized Lie Groups and Algebras - We give a selfcontained introduction to the theory of quantum groups according to Drinfeld highlighting the formal aspects as well as the applications to the Yang-Baxter equation and representation theory.
	www.sciencedaily.com /directory/Science/Physics/Quantum_Mechanics (1476 words)

	Conformal field theories on K3 and three-dimensional gauge theories (Site not responding. Last check: 2007-10-14)
		Conformal field theories on K3 and three-dimensional gauge theories
		According to a recent conjecture, the moduli space of the heterotic conformal field theory on a G ⊂ ADE singularity of an ALE space is equivalent to the moduli space of a pure
		A similar equivalence is found between the moduli of heterotic CFT on isolated Calabi-Yau 3-fold singularities and two-dimensional Kazama-Suzuki coset theories.
	ej.iop.org /EJ/abstract/1126-6708/2000/08/042 (285 words)

Try your search on: Qwika (all wikis)