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Related papers: Strings in AdS_3 and the SL(2,R) WZW Model. Part 1…

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We discuss the string theory on AdS_3. In the first half of this talk, we review the SL(2,R) and the SL(2,C)/SU(2) WZW models which describe the strings on the Lorentzian and Euclidean AdS_3 without RR backgrounds, respectively. An emphasis…

High Energy Physics - Theory · Physics 2007-05-23 Yuji Satoh

We study the spectrum of open strings on AdS_2 branes in AdS_3 in an NS-NS background, using the SL(2,R) WZW model. When the brane carries no fundamental string charge, the open string spectrum is the holomorphic square root of the spectrum…

High Energy Physics - Theory · Physics 2010-05-28 Peter Lee , Hirosi Ooguri , Jongwon Park , Jonathan Tannenhauser

We start a systematic study of string theory in AdS_3 black hole backgrounds. Firstly, we analyse in detail the geodesic structure of the BTZ black hole, including spacelike geodesics. Secondly, we study the spectrum for massive and…

High Energy Physics - Theory · Physics 2009-11-07 Jan Troost

String theory on AdS_3 x S^3 is studied in the hybrid formulation. We give a detailed description of the PSL(2|2) supergroup WZW model that underlies the background with pure NS-NS flux, and determine the BRST-cohomology corresponding to…

High Energy Physics - Theory · Physics 2015-05-28 Matthias R. Gaberdiel , Sebastian Gerigk

We consider strings with large spin in AdS_3xS^3xM with NS-NS background. We construct the string configurations as solutions of SL(2,R) WZW theory. We compute the relation between the space-time energy and spin, and show that the anomalous…

High Energy Physics - Theory · Physics 2009-09-29 Amit Loewy , Yaron Oz

We carefully examine the Polyakov path integral for strings on $\text{AdS}_3$ in superspace, both for type II and heterotic superstrings. We construct a free-field realization of the supersymmetric $\text{SL}(2,\mathbb{R})$ WZW model which…

High Energy Physics - Theory · Physics 2026-03-20 Bob Knighton , Nathan McStay , Vit Sriprachyakul

We study the SL(2,R) WZWN string model describing bosonic string theory in AdS_3 space-time as a deformed oscillator together with its mass spectrum and the string modified SL(2,R) uncertainty relation. The SL(2,R) string oscillator is far…

High Energy Physics - Theory · Physics 2008-11-26 M. Ramon Medrano , N. G. Sanchez

String theory on NS-NS AdS_3 x S^3 admits an exactly marginal deformation which breaks the SL(2,R)_R x SL(2,R)_L isometry of AdS_3 down to SL(2,R)_R x U(1)_L. The holographic dual is an exotic and only partially understood type of…

High Energy Physics - Theory · Physics 2015-06-05 Tatsuo Azeyanagi , Diego M. Hofman , Wei Song , Andrew Strominger

We investigate the behaviour of the bosonic string on AdS3 with H-flux at stringy scales, looking in particular for a `tensionless' limit in which there are massless higher spin gauge fields. We do this by revisiting the physical spectrum…

High Energy Physics - Theory · Physics 2017-08-02 Matthias R. Gaberdiel , Rajesh Gopakumar , Chris Hull

We investigate N-point string scattering amplitudes in AdS_3 space. Based on recent observations on the solutions of KZ and BPZ-type differential equations, we discuss how to describe the string theory in AdS_3 as a marginal deformation of…

High Energy Physics - Theory · Physics 2008-11-26 Gaston Giribet

The SL(2, R) WZW model of strings on an ADS3 background is investigated in the spirit of J.Maldacena's and H.Ooguri's approach (hep-th/0001053) and (hep-th/0005183). Choosing a standard, but most general three-variable parametrization of…

High Energy Physics - Theory · Physics 2007-05-23 Bogdan G. Dimitrov

We consider correlation functions for string theory on AdS_3. We analyze their singularities and we provide a physical interpretation for them. We explain which worldsheet correlation functions have a sensible physical interpretation in…

High Energy Physics - Theory · Physics 2016-09-06 Juan Maldacena , Hirosi Ooguri

We discuss a Coulomb gas realization of $n$-point correlation functions in the $SL(2,\mathbb{R})$ Wess-Zumino-Witten (WZW) model that is suitable to compute scattering amplitudes of winding strings in 3-dimensional Anti-de Sitter space at…

High Energy Physics - Theory · Physics 2016-03-23 Gaston Giribet

We consider the RNS superstrings in $AdS_3 \times S^3 \times {\cal M}$, where $\cal M$ may be $K3$ or $T^4$, based on $SL(2,R)$ and SU(2) WZW models. We construct the physical states and calculate the spectrum. A subsector of this theory…

High Energy Physics - Theory · Physics 2007-05-23 John Son

Spectra of a string in $ SL(2,R) $ and three dimensional (BTZ) black hole geometry are discussed. We consider a free field realization of ^sl (2,R) different from the standard ones in treatment of zero-modes. Applying this to the string…

High Energy Physics - Theory · Physics 2009-10-30 Yuji Satoh

A brief review of string theory on group manifolds is given, and comparisons are then drawn between Minkowski space, SU(2), and SU(1,1) = AdS_3. The proof of the no-ghost theorem is outlined, assuming a certain restriction on the…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Evans , M. R. Gaberdiel , M. J. Perry

We study the BRST quantization of bosonic and NSR strings propagating in AdS(3) x N backgrounds. The no-ghost theorem is proved using the Frenkel-Garland-Zuckerman method. Regular and spectrally-flowed representations of affine SL(2,R)…

High Energy Physics - Theory · Physics 2011-07-19 Ari Pakman

We discuss the modular invariance of the SL(2,R) WZW model. In particular, we discuss in detail the modular invariants using the \hat{sl}(2,R) characters based on the discrete unitary series of the SL(2,R) representations. The explicit…

High Energy Physics - Theory · Physics 2009-10-31 Akishi Kato , Yuji Satoh

The unitarity problem in curved spacetime is solved for the string described by the SL(2,R) WZW model. The spectrum is computed exactly and demonstratedto be ghost-free. The new features include (i) SL(2,R) left/right symmetrycurrents that…

High Energy Physics - Theory · Physics 2009-10-28 Itzhak Bars

In the hybrid formulation of string theory on AdS_3 x S^3, the compactification-independent physical spectrum at the first massive level is determined. We find that these states transform in representations of the Lie superalgebra psl(2|2)…

High Energy Physics - Theory · Physics 2015-06-11 Sebastian Gerigk
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