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Topic: Anti de Sitter space

	Professor Stephen Hawking
		Anti de Sitter fl holes may not seem of much interest, because we can be fairly sure, that the universe is not asymptotically anti de Sitter.
		The boundary of rotating anti de Sitter, is a rotating Einstein universe, of one dimension lower.
		This behavior is similar to that for Schwarzschild anti de Sitter space, and might indicate a phase transition in the corresponding conformal field theory.
	www.hawking.org.uk /lectures/nut.html (4915 words)

	The string-theory landscape (November 2003) - Physics World - PhysicsWeb
		In de Sitter space the universe expands exponentially, which is the basis of the inflationary model of the universe.
		Obtaining a de Sitter solution is therefore a major challenge for string theory, which has been the main candidate for a fundamental theory of the universe for almost 20 years.
		De Sitter space is only a local minimum of the energy, whereas the global minimum corresponds to a flat 10D space-time.
	physicsweb.org /articles/world/16/11/3 (1204 words)

	De Sitter space - Wikipedia, the free encyclopedia
		De Sitter space is most easily defined as a submanifold of Minkowski space in one higher dimension.
		De sitter space is the submanifold described by the hyperboloid
		The metric on de Sitter space is the metric induced from the ambient Minkowski metric.
	en.wikipedia.org /wiki/De_Sitter_space (512 words)

	Modern Supersymmetry by John Terning
		The purple peaks show the gauge coupling of the Seiberg-Witten theory as a function of the moduli space; the associated tori are shown in yellow.
		The quantum deformed moduli space of SUSY QCD is shown in turquoise.
		A slice of anti-de Sitter space is shown in orange.
	particle.physics.ucdavis.edu /modernsusy/index.html (219 words)

	[No title] (Site not responding. Last check: 2007-10-13)
		ADS, CFT, is a conjectured duality between supergravity in anti de Sitter space, and a conformal field theory on the boundary of anti de Sitter space, at infinity.
		This is the topology of the Schwarzschild anti de Sitter metric.
		This was noticed by Maldacena in the case of asymptotically anti de Sitter3, and interpreted as implying that information is lost in the BTZ fl hole metric.
	pancake.uchicago.edu /~carroll/hawkingdublin.txt (2582 words)

	Review of Top Cited HEP Articles of 2000
		A d-dimensional surface or `brane' that restricts the volume of anti-de Sitter space then corresponds to a momentum cutoff on the corresponding d-dimensional field theory, a brane at large radius corresponding to an ultraviolet cutoff, and a brane in the interior corresponding to an infrared cutoff.
		This is the `noncommutative Yang-Mills theory', invented by Connes in 1980, a theory of vector bosons on a rigid space-time in which the space derivatives have a nonzero commutator characterized by a fixed antisymmetric matrix.
		Randall and Sundrum [4] and Gogberashvili (hep-ph/9812296) observed that, in this scenario, the stretching due to the curvature of the anti-de Sitter space moves quantum fluctuations on the second brane to much lower energy, in fact, to arbitrarily low energy as the separation of the branes is increased.
	www.slac.stanford.edu /library/topcites/topcites.review.2000.html (4077 words)

	Anti de Sitter space - Wikipedia, the free encyclopedia
		In the language of general relativity, anti de Sitter space is the maximally symmetric, vacuum solution of Einstein's field equation with a negative cosmological constant Λ.
		The constant time slices of this coordinate patch are hyperbolic spaces in the Poincaré half-plane metric.
		The green shaded region in the interior corresponds to the region of AdS covered by the half-space coordinates and it is bounded by two null aka lightlike geodesic hyperplanes; the green shaded area on the surface corresponds to the region of conformal space covered by Minkowski space.
	en.wikipedia.org /wiki/Anti_de_Sitter_space (507 words)

	Time Travel Portal :: View topic - Inflation, Black Holes, Wormholes & Time Machines (Site not responding. Last check: 2007-10-13)
		We illustrate that such models — with CTCs — are not necessarily inconsistent by demonstrating self-consistent vacuums for Misner space and a multiply connected de Sitter space in which the renormalized energy-momentum tensor does not diverge as one approaches the Cauchy horizon and solves Einstein’s equations.
		One is constructed by identifying points related via boost transformations in the covering space of anti-de Sitter space and it is shown that this Misner-like anti-de Sitter space is just the Lorentzian section of the complex space constructed by Li, Xu, and Liu in 1993.
		The others are constructed by gluing an anti-de Sitter space to a de Sitter space, which could describe an anti-de Sitter phase bubble living in a de Sitter phase universe.
	timetravelportal.com /viewtopic.php?t=1411 (2030 words)

	The Hamiltonian mass of asymptotically anti-de Sitter space-times
		is again anti-de Sitter metric in a different coordinate system, which does not differ too much from the original one; in particular the metric approaches asymptotically the standard version of the anti-de Sitter metric in the unhatted coordinates.
		of the Kottler (``Schwarzschild - anti-de Sitter'') metrics in dimension
		It should be stressed that this problem mixes two different issues, one being the potential background dependence of (6), another one being the possibility of energy flowing in or out through the timelike conformal boundary of space-time.
	www.phys.univ-tours.fr /~piotr/papers/mass/letter/index.html (2196 words)

	Brane - Interview with Dr. Igor Klebanov
		Anti-de Sitter space, or AdS space, is a negatively curved space, where again the curvature is the same everywhere.
		It is one of these classic spaces that people have been studying for many, many years, one of the simplest curved spaces in the books.
		So basically the formulation of this anti-de Sitter space/conformal field theory correspondence in its most crystallized form is attributed to three papers: the one by Maldacena, the one by us, and another one by Witten.
	www.esi-topics.com /brane/interviews/DrIgorKlebanov.html (1928 words)

	De Sitter on My Mind \| Musings
		Recall that we are in asymptotically de Sitter space, that is, we consider only metrics which approach the de Sitter metric at timelike-infinity.
		In de Sitter space, local observers fall out of causal contact if you wait long enough, so the formulation of the quantum theory ought to involve a choice of a particular local observer.
		In this conjectured way of formulating quantum gravity in asymptotically de Sitter space, they simply don’t act as operators on the Hilbert space, as the Hilbert space is somehow based on the physics as seen by a local observer following the worldline γ.
	golem.ph.utexas.edu /~distler/blog/archives/000051.html (979 words)

	ADS \| \| Dictionary & Translation by Babylon
		Anno Domini of A.D. is Latijn voor in het jaar des Heren.
		Het is een systeem voor jaartelling met als beginpunt de geboorte van Christus.
		In Engelstalige landen is de afkorting A.D. (en BC) nog altijd gangbaar, terwijl data in het Nederlands aangegeven worden met na Christus (n.
	www.babylon.com /definition/ADS/All (1023 words)

	Hyperspace Physics
		The visible universe could lie on a membrane floating within a higher-dimensional space.
		Empty space appears to contain the energy of a trillion atomic bombs in every cubic centimeter.
		Dualities between conformal gauge theories and supergravities in anti-de Sitter space
	www.deoxy.org /hs_phys (365 words)

	Paradoxes Resolved, Origins Illuminated - Stephen hawking "revamps" black hole theory
		Although the accretion disc surrounding a sphere fractal singularity could loosely be considered a torus fractal hole but then you'd have to call the whole Milky Way a torus fractal hole centered about the sphere fractal singularity at the heart of our galaxy.
		If the locally flat parts of earth are considered negative curvature and the void is considered to be positive curvature then constructing a craft that emits negative charge will levitate subtracting itself from the spin of the earth as the equation G=-q^2-s dictates.
		I mean gravity is obviously a downward force if you're standing anywhere on the face of the earth locally but if you're in a space ship looking at the earth objectively nonlocally then gravity is pushing down from the north and up from the south.
	www.metaresearch.org /msgboard/topic.asp?TOPIC_ID=566 (3703 words)

	``Branification:'' an alternative to compactification
		In their picture, the brane is instead the Poincare-invariant boundary of a slice of 4+1 dimensional anti-de Sitter space.
		RS observed that the negative curvature of anti-de Sitter space plays a very similar role to that of a compact dimension, and effectively binds a graviton mode to the brane.
		Initially there were questions of consistency of this proposal; for example Chamblin, Hawking, and Reall [6] and others observed the existence of fl holes arising from matter on the brane with infinitely extended horizons and strong-coupling singularities at the horizon of anti-de Sitter space.
	www.phys.lsu.edu /mog/mog15/node11.html (1083 words)

	Professor Stephen Hawking
		It may be viewed on Windows PCs without Powerpoint97 (to do this download and extract the zip file, and run PNGSETUP.EXE).
		One of these is that, because the spatial rotation group, O4, is of rank 2, there are two rotation parameters, a and b.
		One can also find a family of Taub bolt anti de Sitter metrics, with the same asymptotic behavior.
	www.hawking.org.uk /text/physics/nut.html (4930 words)

	Asymptotically anti-de Sitter space-times
		The structure of the gravitational field at infinity of asymptotically anti-de Sitter space-time is analysed in detail using conformal techniques.
		It is found that the situation differs from that in the case of asymptotically Minkowskian space-times in a number of respects, primarily because J is now time-like rather than null.
		The analysis also introduces definitions of 'conserved' quantities at J in terms of the curvature tensor which are free of the ambiguities present in the previous definitions based on the deviation of the physical metric from an anti-de Sitter background.
	stacks.iop.org /0264-9381/1/L39 (252 words)

	Lee, Peter Byungho (2003-03-05) D-branes in anti-de-Sitter space. ...
		We investigate the role of Dp-branes, which are p+1 dimensional membranes where open strings end, in two different types of anti-de-Sitter backgrounds: AdS3xS3xM4 and AdS5xS5, where M4 is a compact four-dimensional manifold such as the four-torus T4 or the K3 surface.
		In the spirit of the AdS/CFT correspondence, D-brane physics on an anti-de-Sitter space should be captured by a dual conformal field theory defined on the boundary of AdS.
		Recently, Karch and Randall and DeWolfe, Freedman and Ooguri proposed in that the presence of a single D5-brane in AdS5 S5 is dual to a defect conformal field theory in which the usual N=4 bulk SYM theory is coupled to a 2+1 dimensional conformal defect field theory.
	etd.caltech.edu /etd/available/etd-06022003-200011 (324 words)

	CERN Courier - Database lists the top-cited - IOP Publishing - article
		Anti-de Sitter space, the homogeneous space of constant negative curvature, has a boundary in the sense that light signals propagate to space-like infinity in finite time.
		Maldacena proposed that, for a gravity theory living in the interior of the space, there would be a corresponding, and equivalent, scale-invariant quantum field theory living on the boundary.
		Though string theory predicts the existence of seven extra space dimensions, these have conventionally been considered to be unobservably small and irrelevant to ordinary particle physics.
	www.cerncourier.com /main/article/41/10/19 (1231 words)

	ads \| Serbian \| Dictionary & Translation by Babylon
		In mathematics and physics, n-dimensional anti de Sitter space, denoted
		In the language of general relativity, anti de Sitter space is the maximally symmetric, vacuum solution of Einstein's field equation with a negative cosmological constant
		n-Dimensional anti de Sitter space has SO(n−1, 2) (possibly with reflections) as automorphism group, according to the Erlangen program.
	www.babylon.com /definition/ads/Serbian?uil=English (370 words)

	RS Electrogravitic References: Part 12 of 19
		We examine the cancelation of a divergent part of the Casimir energy on even-dimensional spaces by means of including the parameter $\,M$ in original action.
		In the limit when the size of the space is allowed to go to infinity, we derive quantum inequalities for timelike and null geodesics which, in appropriate limits, reduce to AWEC and ANEC in ordinary two-dimensional Minkowski spacetime.
		We also derive a quantum inequality bound on the energy density seen by an inertial observer in four- dimensional Minkowski spacetime.
	www.padrak.com /ine/RS_REF12.html (2145 words)

	Publications: Gravitational quasinormal modes for anti-de sitter black holes
		The quasinormal mode spectra for gravitational perturbations of fl holes in four-dimensional de Sitter and anti-de Sitter space are investigated.
		The de Sitter case lends itself to approximation by a Poshcl-Teller potential.
		The anti-de Sitter case is relevant to the AdS-CFT correspondence in superstring theory.
	www.phys.ncl.ac.uk /research/pubs/abs145.htm (102 words)

	Interact on KeelyNet Mail List: another holographic cosmology
		So far, the only space that seems to behave this way is around the outskirts of
		Sitter space (named for the Dutch physicist Willem de Sitter).
		space might also be considered "close enough" to being flat.
	www.keelynet.com /interact/archive/00000958.htm (1377 words)

	Andrew Waldron: Abstract (Site not responding. Last check: 2007-10-13)
		In Minkowski space, spin s particles are either massive or massless and describe 2s+1 or 2 lightlike physical excitations.
		In de Sitter space, the underlying isometry group is now SO(4,1), which implies that flat space notions of mass and spin must be re-examined.
		Indeed there is a surprise: new partially massless theories arise describing intermediate degree of freedom counts.
	www.und.nodak.edu /instruct/lapeters/mgc2002/abs/Waldron.html (100 words)

	2.3 Asymptotically flat space-times
		Examples for asymptotically simple space-times which are not asymptotically flat include the de Sitter and anti-de Sitter space-times, both solutions of the Einstein equations with non-vanishing cosmological constant.
		The physical metric and the metric on the compactified space are conformally related.
		Smoothness of the resulting manifold with boundary translates into asymptotic fall-off conditions for the physical metric and the fields derived from it.
	relativity.livingreviews.org /Articles/lrr-2000-4/node5.html (1617 words)

	Sören Holst (Site not responding. Last check: 2007-10-13)
		Some years ago it was found that one can obtain a fl hole spacetime---the BTZ fl hole---simply by making identifications of points in anti-de Sitter space.
		Since anti-de Sitter space has constant negative curvature, and since the identifications used in this construction do not affect the local properties of the metric, this fl hole also has constant curvature.
		As opposed to a realistic fl hole then, formed for example from the collapse of a star, this one is very simple.
	www.physto.se /~elmfors/utv/soren_holst_abs.html (174 words)

	Ingemar Bengtsson
		I also work on quantum information theory, since the geometry of the space of quantum states is wonderful and rather mysterious.
		What I find fascinating about both these theories---as it happens, the two deepest theories we have---is that their basic equations have been around for almost a hundred years, and yet they keep springing conceptual surprises on us.
		Projektarbeten i kvantmekanik: I år handlar de om "Den stygge kungen", "Gömda variabler och mikromasern" och "Dimkammarspår".
	www.fop.physto.se /~ingemar (558 words)

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