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The AdS/CFT correspondence, pure spinors and logarithmic conformal field theories

Titel Englisch The AdS/CFT correspondence, pure spinors and logarithmic conformal field theories
Gesuchsteller/in Gaberdiel Matthias
Nummer 129542
Förderungsinstrument Projektförderung (Abt. I-III)
Forschungseinrichtung Institut für Theoretische Physik ETH Zürich
Hochschule ETH Zürich - ETHZ
Hauptdisziplin Theoretische Physik
Beginn/Ende 01.04.2010 - 31.03.2013
Bewilligter Betrag 559'276.00
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Alle Disziplinen (2)

Disziplin
Theoretische Physik
Mathematik

Keywords (2)

String Theory; Conformal Field Theory

Lay Summary (Englisch)

Lead
Lay summary
String theory is currently the most promising candidate for a unifying framework to describe all known interactions. These include, in particular, the `standard model' of particle physics as well as Einstein's theory of gravity, general relativity. The basic idea of string theory is that the fundamental object is a one-dimensional string (rather than a point-like object). The different elementary particles correspond to the different ways in which this string can vibrate in the ambient spacetime. On the other hand, Einstein's equations of general relativity appear as consistency conditions. As the string propagates through spacetime it sweeps out a two-dimensional surface, the world-sheet. From the point of view of this world-sheet, the vibrations of the string can be described in terms of a two-dimensional conformal field theory.One of the most dramatic recent progress in string theory concerns the so-called AdS/CFT correspondence. It proposes that strings propagating on an anti-de-Sitter (AdS) spacetime are in fact equivalent to conventional (conformal) quantum field theories. It is one of the key aims of this project to develop the world-sheet formulation of string theory on AdS spacetimes further, in particular using the pure spinor formulation of string theory. This would allow one to test and understand this correspondence in more detail. Conformal field theories also play an important role for the description of critical phenomena in statistical physics. In recent years, logarithmic conformal field theories have increasingly attracted attention since they are, for example, relevant for systems with quenched disorder. It is another aim of this project to study such logarithmic theories from a first principle conformal field theory perspective.
Direktlink auf Lay Summary Letzte Aktualisierung: 21.02.2013

Verantw. Gesuchsteller/in und weitere Gesuchstellende

Mitarbeitende

Publikationen

Publikation
Even spin minimal model holography
Candu C, Gaberdiel M, Kelm M, Vollenweider C (2013), Even spin minimal model holography, in JHEP, 1301, 185.
Gravity dual of the Ising model
Castro A, Gaberdiel MR, Hartman T, Maloney A, Volpato R (2012), Gravity dual of the Ising model, in PHYSICAL REVIEW D, 85(2), 024032-024032.
Higher spin black holes from CFT
Gaberdiel M, Hartman T, Jin K (2012), Higher spin black holes from CFT, in JHEP, 1204, 103.
Limits of minimal models and continuous orbifolds
Gaberdiel M, Suchanek P (2012), Limits of minimal models and continuous orbifolds, in JHEP, 1203, 104.
Limits of minimal models and continuous orbifolds
Gaberdiel Matthias R and Suchanek Paulina (2012), Limits of minimal models and continuous orbifolds, in Journal of High Energy Physics, 1203, 104-104.
String states on AdS3 x S3 from the supergroup
Gerigk S (2012), String states on AdS3 x S3 from the supergroup, in JHEP, 1210, 084.
Symmetries of K3 sigma models
Gaberdiel M, Hohenegger S, Volpato R (2012), Symmetries of K3 sigma models, in Commun. Number Theory and Physics, 6, 1.
Triality in minimal model holography
Gaberdiel M, Gopakumar R (2012), Triality in minimal model holography, in JHEP, 1207, 127.
A modular invariant bulk theory for the c=0 triplet model
Gaberdiel MR, Runkel I, Wood S (2011), A modular invariant bulk theory for the c=0 triplet model, in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44(1), 015204-015204.
An AdS(3) dual for minimal model CFTs
Gaberdiel MR, Gopakumar R (2011), An AdS(3) dual for minimal model CFTs, in PHYSICAL REVIEW D, 83(6), 066007-066007.
Borcherds algebras and N=4 topological amplitudes
Gaberdiel MR, Hohenegger S, Persson D (2011), Borcherds algebras and N=4 topological amplitudes, in JOURNAL OF HIGH ENERGY PHYSICS, (6), 125-125.
Enhanced gauge groups in N=4 topological amplitudes and Lorentzian Borcherds algebras
Hohenegger S, Persson D (2011), Enhanced gauge groups in N=4 topological amplitudes and Lorentzian Borcherds algebras, in PHYSICAL REVIEW D, 84(10), 106007-106007.
Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
Alexandrov S, Persson D, Pioline B (2011), Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces, in JHEP, 1103, 111.
Minimal model holography for SO(2N)
Gaberdiel MR, Vollenweider C (2011), Minimal model holography for SO(2N), in JOURNAL OF HIGH ENERGY PHYSICS, (8), 104-104.
On the topology of the hypermultiplet moduli space in type II/CY string vacua,
Alexandrov S, Persson D, Pioline B (2011), On the topology of the hypermultiplet moduli space in type II/CY string vacua,, in Phys Rev D, 83, 026001.
Partition functions of holographic minimal models
Gaberdiel MR, Gopakumar R, Hartman T, Raju S (2011), Partition functions of holographic minimal models, in JOURNAL OF HIGH ENERGY PHYSICS, (8), 077-077.
Quantum W-symmetry in AdS(3)
Gaberdiel MR, Gopakumar R, Saha A (2011), Quantum W-symmetry in AdS(3), in JOURNAL OF HIGH ENERGY PHYSICS, (2), 004-004.
Symmetries of holographic minimal models
Gaberdiel MR, Hartman T (2011), Symmetries of holographic minimal models, in JOURNAL OF HIGH ENERGY PHYSICS, (5), 031-031.
The massless string spectrum on AdS(3) x S-3 from the supergroup
Gaberdiel MR, Gerigk S (2011), The massless string spectrum on AdS(3) x S-3 from the supergroup, in JOURNAL OF HIGH ENERGY PHYSICS, (10), 045-045.
Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
Alexandrov S, Persson D, Pioline B (2011), Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence, in JOURNAL OF HIGH ENERGY PHYSICS, (12), 027-027.
Graviton 1-loop partition function for 3-dimensional massive gravity
Gaberdiel MR, Grumiller D, Vassilevich D (2010), Graviton 1-loop partition function for 3-dimensional massive gravity, in JOURNAL OF HIGH ENERGY PHYSICS, (11), 094-094.
Mathieu Moonshine in the elliptic genus of K3
Gaberdiel MR, Hohenegger S, Volpato R (2010), Mathieu Moonshine in the elliptic genus of K3, in JOURNAL OF HIGH ENERGY PHYSICS, (10), 062-062.
Mathieu twining characters for K3
Gaberdiel MR, Hohenegger S, Volpato R (2010), Mathieu twining characters for K3, in JOURNAL OF HIGH ENERGY PHYSICS, (9), 058-058.
The heat kernel on AdS(3) and its applications
David JR, Gaberdiel MR, Gopakumar R (2010), The heat kernel on AdS(3) and its applications, in JOURNAL OF HIGH ENERGY PHYSICS, (4), 125-125.

Wissenschaftliche Veranstaltungen

Aktiver Beitrag

Titel Art des Beitrags Titel des Artikels oder Beitrages Datum Ort Beteiligte Personen
Higher Spin Theories and Holography Vortrag im Rahmen einer Tagung 3 Lectures on Minimal Model Holography 23.11.2011 Allahabad, Indien Gaberdiel Matthias;
Conformal field theory, automorphic forms, and related topics Vortrag im Rahmen einer Tagung Mathieu Moonshine 19.09.2011 Heidelberg, Deutschland Gaberdiel Matthias;
Advanced Conformal Field Theory and Application Vortrag im Rahmen einer Tagung Fusion in (Logarithmic) Conformal Field Theory 05.09.2011 IHP Paris, Frankreich Gaberdiel Matthias;


Selber organisiert

Titel Datum Ort
Higher Spins, Strings and Duality 18.03.2013 GGI Florence, Italien
Integrability and Gauge & String Theory 20.08.2012 ETH Zurich, Schweiz
Workshop on Higher Spin Gravity 10.04.2012 ESI Wien, Österreich
Strings, M-Theory & Quantum Gravity 25.07.2011 Monte Verita, Schweiz
Mathieu Moonshine 07.07.2011 ETH Zurich, Schweiz

Verbundene Projekte

Nummer Titel Start Förderungsinstrument
146186 The Higher Spin AdS/CFT correspondence and Mathieu Moonshine 01.04.2013 Projektförderung (Abt. I-III)
119830 String moduli, the AdS/CFT correspondence and logarithmic conformal field theories 01.04.2008 Projektförderung (Abt. I-III)

Abstract

String theory is currently the most promising candidate for a unifying framework to describe the standard model of particle physics as well as general relativity. One of the areas where most progress has been achieved during the last few years is the AdS/CFT correspondence. In its simplest incarnation it relates string theory on AdS5xS5 to a supersymmetric quantum field theory in four dimensions. The correspondence has helped to shed light on the structure of N = 4 super Yang-Mills theory, and it has led to interesting applications for plasma physics and in condensed matter theory. However, one of the key obstacles towards further progress is that a tractable world-sheet description for strings on AdS5xS5 is so far lacking. There are various ideas for how to make progress with this problem, in particular the pure spinor formulation of Berkovits, as well as the reconstruction programme of Gopakumar. I plan to pursue both of these approaches. In a somewhat separate development, Witten has recently proposed that the AdS/CFT dual of pure gravity in AdS3 is described by an extremal self-dual conformal field theory. A related proposal was subsequently put forward by Strominger and coworkers. In either case, depending on the value of the cosmological constant of the AdS space, the conformal field theories have central charge c = 24k, where k = 1, 2, 3, ... The first theory at c = 24 (k = 1) is the famous Monster conformal field theory, but the theories for k > 1 have so far not been constructed. In the last two years I have given various arguments that suggests that these `extremal' theories are inconsistent for large k. However, the issue has not yet been completely settled, and I would like to use the analysis of higher genus amplitudes to study this problem further.The world-sheet of the string is described by a two-dimensional conformal field theory. Such theories also play an important role for the description of critical phenomena in two dimensions. One class of conformal field theories that have recently attracted a lot of attention are the so-called logarithmic conformal field theories. They appear in various models of statistical physics, for example in the theory of polymers, percolation and various disordered models. They probably also play an important role in Strominger's modification of the pure gravity proposal of Witten. Recently, significant progress (partially by myself) has been made in the general study of logarithmic conformal field theories, but much more remains to be understood. Among other things I want to study logarithmic conformal field theories at c = 0 that are believed to be important for critical systems with quenched disorder.
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