A conformal field theory is a quantum field theory (or statistical mechanics model) that is invariant under the conformal group.
Together with Robbert Dijkgraaf, ErikVerlinde, and Herman Verlinde, he is a co-founder of Matrix string theory, a nonperturbative definition of string theory.
Currently a professor at the University of Utrecht, ErikVerlinde worked at the Institute for Advanced Study from 1988 to 1993.
In the case of string theory, we may be afraid that the Hawking-Hartle state is a functional of a much broader collection of fields, including excited strings.
The Hartle-Hawking states are very natural and important tools that may eventually shed light on the vacuum selection problem and the evolution of the Universe a Planck time after the beginning ;-), and therefore I think it is a good idea to try to give the Hartle-Hawking wave function a well-defined meaning in string theory.
Ooguri, Vafa, and Verlinde have certainly made many new steps towards this kind of goal.
Type IIA string theory can be shown equivalent to a maximally supersymmetric two-dimensional gauge theory, the gauge group of which is U(N) for a large value of N.
It was developed by Luboš Motl and later independently in a more complete paper by Robbert Dijkgraaf, ErikVerlinde, and Herman Verlinde.
This page was last modified 14:06, 20 January 2006.
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Date: Fri, 12 Dec 2003 13:55:25 GMT (27kb) Title: String Interactions in c=1 Matrix Model Authors: Jan de Boer, Annamaria Sinkovics, ErikVerlinde and Jung-Tay Yee Comments: 27 pages, 1 figure Report-no: ITFA-2003-56, KIAS-P03089 \\ We study string interactions in the fermionic formulation of the c=1 matrix model.
We give a precise nonperturbative description of the rolling tachyon state in the matrix model, and discuss S-matrix elements of the c=1 string.
This computation is compared with the string theory cylinder diagram using the rolling tachyon ZZ boundary states.
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Date: Tue, 14 Dec 2004 00:32:51 GMT (17kb) Title: Attractors and the Holomorphic Anomaly Authors: ErikVerlinde Comments: 21 pages Report-no: ITFA-2004-60 \\ Motivated by the recently proposed connection between N=2 BPS fl holes and topological strings, I study the attractor equations and their interplay with the holomorphic anomaly equation.
The topological string partition function is interpreted as a wave-function obtained by quantizing the real cohomology of the Calabi-Yau.
Our analysis results in a generalized formula for the relation between the microscopic density of fl hole states and topological strings valid for all backgrounds.
It's called the "entropic principle" even though Hirosi Ooguri, Cumrun Vafa, and ErikVerlinde finally did not use this entertaining term for the title.
I think we agree that the wavefunction they propose is definitely special.
Ooguri, Vafa, Verlinde have done it in a particular toy model example.
@misc{ dijkgraaf-counting, author = "Robbert Dijkgraaf and ErikVerlinde and Herman Verlinde", title = "Counting Dyons in N = 4 String Theory", url = "citeseer.ist.psu.edu/dijkgraaf96counting.html" }
4 BPS Spectrum of the Five-Brane and Black Hole Entropy (context) - Dijkgraaf, Verlinde et al.
1 BPS Quantization of the Five-Brane - Dijkgraaf, Verlinde et al.
Dieter Jansen, Joris Lutz, Rop Verheijen, Roel Vente, Manon Novak, Erik Brey, Albert Verlinde, Anne-Mieke Ruyten, Harry Slinger, Olaf Vugts, Jette van der Meij en Thijs van Aken met het ensemble
Manon Novak, Erik Brey, Maroesja Lacunes, Henk Votel en Harry Slinger
Manon Novak, Erik Brey, Maroesja Lacunes, Joop Stokkermans, Henk Votel en Harry Slinger
Photo 37, Ludmilla Wightman, ErikVerlinde; in back: Steve Adler, Bill Ford, Stew Smith, Justin Albert, Jim Peebles, Norma Smith, Pierre Piroué, Ginette Inagaki.
Photo 103, Nancy Shatzman, Paul Steinhardt, Elisabeth Hauptman, Herman Verlinde.
Photo 32, Ed Witten, Nancy Shatzman, Paul Steinhardt, Elisabeth Hauptman, Herman Verlinde.
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------------------------------------------------------------------------------ \\ Paper: hep-th/9506011 From: verlinde@nxth04.cern.ch Date: Thu, 1 Jun 95 23:14:30 +0100 (16kb) Date (revised): Fri, 2 Jun 95 01:23:34 +0100 Date (revised): Tue, 6 Jun 95 14:25:44 +0100 Title: Global Aspects of Electric-Magnetic Duality Author: ErikVerlinde Comments: Latex-file, 16 pages Report-no: CERN-TH/95-146 Journal-ref: Nucl.Phys.
B455 (1995) 211-228 \\ We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality.
We find indications that the Abelian gauge theories related to 4d string theories with $N=4$ space-time supersymmetry are exactly duality invariant.
Steve Shenker, Andy Strominger, Gary Horowitz, Paul Ginsparg, David Gross and Herman Verlinde
Some Volleyball players: (left field) Jan de Boer, ErikVerlinde, Al Shapere, Bas Peeters, Peter Bouwknegt and Herman Verlinde, (right field) Per Berglund, unknown, unknown, unknown (but with ball), Rob Myers and Vijay Balasubramanian
Bernard de Wit, Shanta de Alwis, Willy Fischler and Herman Verlinde
