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We consider worldsheet correlation functions for strings in AdS_5 x S^5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges,…

High Energy Physics - Theory · Physics 2015-05-28 Thomas Klose , Tristan McLoughlin

According to the work of Berkovits, Vafa and Witten (hep-th/9902098), the non-linear sigma model on the supergroup PSU(1,1|2) is the essential building block for string theory on AdS(3)xS(3)xT(4). Models associated with a non-vanishing…

High Energy Physics - Theory · Physics 2010-10-27 Gerhard Gotz , Thomas Quella , Volker Schomerus

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

In arXiv:2109.00065, it was pointed out that superstring theory on $AdS_3$ with $(NS,NS)$ $B$-field background and $R_{AdS}/l_s=\sqrt k<1$ is dual to a symmetric product CFT deformed by an operator in the $\mathbb{Z}_2$ twisted sector. We…

High Energy Physics - Theory · Physics 2025-07-03 Soumangsu Chakraborty , Amit Giveon , David Kutasov

The AdS/CFT correspondence of elementary string theory has been recently suggested as a ``microscopic'' approach to QCD string theory in various dimensions. We use the microscopic theory to show that the ultraviolet regime on the string…

High Energy Physics - Theory · Physics 2009-10-31 Petr Horava

We consider three-point correlation functions for superstrings propagating in AdS$_3\times S^3 \times T^4$. In the RNS formalism, these generically involve correlators with current insertions. When vertex operators with non-trivial spectral…

High Energy Physics - Theory · Physics 2023-02-23 Sergio Iguri , Nicolas Kovensky , Julian H. Toro

We compute three-point functions for the $SL(2,\mathbb R)$-WZNW model. After reviewing the case of the two-point correlator, we compute spectral flow preserving and nonpreserving correlation functions in the space-time picture involving…

High Energy Physics - Theory · Physics 2014-03-20 Yago Cagnacci , Sergio M. Iguri

In this article we investigate the structure of the four-point functions of the $AdS_3$-WZNW model. We consider the integral expression for the unflowed four-point correlator involving at least one state in the discrete part of the spectrum…

High Energy Physics - Theory · Physics 2015-04-29 Yago Cagnacci , Sergio M. Iguri

We consider bosonic strings propagating on Euclidean adS_3, and study in particular the realization of various worldsheet symmetries. We give a proper definition for the Brown-Henneaux asymptotic target space symmetry, when acting on the…

High Energy Physics - Theory · Physics 2016-08-25 Maximo Banados , Adam Ritz

Correlation functions of one unit spectral flowed states in string theory on AdS_3 are considered. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by amplitudes containing states in winding sector…

High Energy Physics - Theory · Physics 2009-11-11 Estanislao Herscovich , Pablo Minces , Carmen Nunez

We develop a diagrammatic language for symmetric product orbifolds of two-dimensional conformal field theories. Correlation functions of twist operators are written as sums of diagrams: each diagram corresponds to a branched covering map…

High Energy Physics - Theory · Physics 2010-03-23 Ari Pakman , Leonardo Rastelli , Shlomo S. Razamat

The symmetric orbifold of $\mathbb{T}^4$ is the analogue of free SYM in four dimensions, and its dual is described by a tensionless string propagating in ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$. In this paper we study the…

High Energy Physics - Theory · Physics 2023-07-26 Marc-Antoine Fiset , Matthias R. Gaberdiel , Kiarash Naderi , Vit Sriprachyakul

We discuss a marginal deformation of the SL(2,R) x SU(2) x U(1)^4 WZW model, which describes string theory on AdS_3 x S^3 x T^4, that corresponds to warping the S^3 factor. This deformation breaks part of the N=(4,4) supersymmetry of the…

High Energy Physics - Theory · Physics 2015-05-30 Stéphane Detournay , Joshua M. Lapan , Mauricio Romo

The bound state of one NS5 brane (wrapped on a $\mathbb{T}^4$) and $N$ NS1-branes has two dual descriptions: its low-energy dynamics is described by the symmetric orbifold of $\mathbb{T}^4$, while the near horizon geometry is captured by…

High Energy Physics - Theory · Physics 2023-12-05 Matthias R. Gaberdiel , Bin Guo , Samir D. Mathur

This paper considers a recently-proposed string theory on $AdS_3\times S^3\times T^4$ with one unit of NS-NS flux ($k=1$). We discuss interpretations of the target space, including connections to twistor geometry and a more conventional…

High Energy Physics - Theory · Physics 2024-04-26 N. M. McStay , R. A. Reid-Edwards

We discuss in detail the $1+1$-dimensional superconformal field theory dual to type II string theory on $AdS_3\times S^3\times T^4$, emphasizing the string theoretic aspects of this duality. For one unit of NS-NS 5-brane flux ($Q_5=1$),…

High Energy Physics - Theory · Physics 2024-07-08 Ofer Aharony , Erez Y. Urbach

We consider the boundary dual of AdS3xS3xK3 for NS5-flux Q5=1, which is described by a sigma model with target space given by the d-fold symmetric product of K3. Building on results in algebraic geometry, we address the problem of deforming…

High Energy Physics - Theory · Physics 2025-05-12 Wolfgang Lerche

We present a detailed study of spectrally flowed four-point functions in the SL(2,$\mathbb{R}$) WZW model, focusing on their conformal block decomposition. Dei and Eberhardt conjectured a general formula relating these observables to their…

High Energy Physics - Theory · Physics 2024-06-07 Sergio Iguri , Nicolas Kovensky , Julian H. Toro

We construct a CFT with $\mathfrak{sl}(2,\mathbb{R})_k$ symmetry at the `tensionless' point $k=3$, which is distinct from the usual $\mathrm{SL}(2,\mathbb{R})_{k=3}$ WZW model. This new CFT is much simpler than the generic WZW model: in…

High Energy Physics - Theory · Physics 2026-01-22 Lorenz Eberhardt , Matthias R. Gaberdiel

Boundary correlators of elementary fields in some 2d conformal field theories defined on AdS$_2$ have a particularly simple structure. For example, the correlators of the Liouville scalar happen to be the same as the correlators of the…

High Energy Physics - Theory · Physics 2020-06-24 Matteo Beccaria , Hongliang Jiang , Arkady A. Tseytlin