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We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability.…

High Energy Physics - Theory · Physics 2015-05-27 D. Sorokin , A. Tseytlin , L. Wulff , K. Zarembo

We study worldsheet sphere amplitudes, in the RNS formalism, in superstring theory on $\text{AdS}_3\times X$ with pure NS-NS flux using the near-boundary approximation. By computing a number of amplitudes at low-lying spectral flow, we…

High Energy Physics - Theory · Physics 2024-05-07 Vit Sriprachyakul

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

A quantizable and manifestly $\text{PSU}(1,1|2) \times \text{PSU}(1,1|2)$-invariant action for the superstring in $\rm AdS_3 \times S^3 \times T^4$ with mixed NS-NS and R-R self-dual three-form flux is constructed, which is the analogue of…

High Energy Physics - Theory · Physics 2025-01-15 Cassiano A. Daniel

String theory on AdS3 space-times with boundary conditions that allow for black hole states has global asymptotic symmetries which include an infinite dimensional conformal algebra. Using the conformal current algebra for sigma-models on…

High Energy Physics - Theory · Physics 2014-11-20 Sujay K. Ashok , Raphael Benichou , Jan Troost

We examine supersymmetric properties of null-warped AdS$_3$, or alternatively Schrodinger geometries, dual to putative warped CFTs in two dimensions. We classify super Schrodinger subalgebras of the superalgebra psu(1, 1$|$2) $\oplus$…

High Energy Physics - Theory · Physics 2015-06-18 Jaehoon Jeong , Eoin Ó Colgáin , Kentaroh Yoshida

Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with fluxes depending on several free parameters. We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the…

High Energy Physics - Theory · Physics 2017-05-15 Linus Wulff

In order to study vertex operators for the Type IIB superstring on AdS space, we derive supersymmetric constraint equations for the vertex operators in AdS3xS3 backgrounds with Ramond-Ramond flux, using Berkovits-Vafa-Witten variables.…

High Energy Physics - Theory · Physics 2010-04-07 Louise Dolan , Edward Witten

We review a formalism of superstring quantization with manifest six-dimensional spacetime supersymmetry, and apply it to AdS_3 x S^3 backgrounds with Ramond-Ramond flux. The resulting description is a conformal field theory based on a sigma…

High Energy Physics - Theory · Physics 2010-04-07 N. Berkovits , C. Vafa , E. Witten

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

Using a hybrid formalism, superstrings on AdS(3) x S(1) are studied in a manifestly supersymmetric manner. The world-sheet fields in this description including superspace coordinates are obtained through a field redefinition from the…

High Energy Physics - Theory · Physics 2009-11-10 Hiroshi Kunitomo

We describe what can be called the "universal" phase space of AdS3 gravity, in which the moduli spaces of globally hyperbolic AdS spacetimes with compact spatial sections, as well as the moduli spaces of multi-black-hole spacetimes are…

High Energy Physics - Theory · Physics 2013-07-09 Carlos Scarinci , Kirill Krasnov

We continue the study of AdS loop amplitudes in the spectral representation and in position space. We compute the finite coupling 4-point function in position space for the large-$N$ conformal Gross Neveu model on $AdS_3$. The resummation…

High Energy Physics - Theory · Physics 2021-08-18 Dean Carmi

We compute string amplitudes on pp-waves supported by NS-NS 3-form fluxes and arising in the Penrose limit of AdS3xS3xM. We clarify the role of the non-chiral accidental SU(2) symmetry of the background. We comment on the extension of our…

High Energy Physics - Theory · Physics 2009-11-10 M. Bianchi , G. D'Appollonio , E. Kiritsis , O. Zapata

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS_5 x S^5 background with manifest PSU(2,2|4) invariance. The PSU(2,2|4) metric g_{AB} has both vector components g_{ab} and spinor…

High Energy Physics - Theory · Physics 2008-11-26 Nathan Berkovits

We propose that string theory on ${\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ with $\textit{two}$ units of NS-NS flux through each of the two $3$-spheres is exactly dual to the symmetric orbifold of $2$ bosons and $8$…

High Energy Physics - Theory · Physics 2024-11-27 Matthias R. Gaberdiel , Vit Sriprachyakul

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

The spectrum of superstrings on ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{M}_4$ with pure NS-NS flux is analysed for the background where the radius of the AdS space takes the minimal value $(k=1)$. Both for $\mathbb{M}_4={\rm S}^3…

High Energy Physics - Theory · Physics 2018-06-13 Matthias R. Gaberdiel , Rajesh Gopakumar

We consider tree-level scattering amplitudes for four string tachyons on $AdS_3 \times {\cal N}$ with pure NSNS fluxes. We show that in a small curvature expansion, properly defined, the amplitudes take the form of a genus zero integral…

High Energy Physics - Theory · Physics 2024-12-09 Luis F. Alday , Gaston Giribet , Tobias Hansen

String theory on AdS${}_3\times$ S${}^3\times$ T${}^4$ geometries supported by a combination of NS-NS and R-R charges is believed to be integrable. We elucidate the kinematics and analytic structure of worldsheet excitations in mixed charge…

High Energy Physics - Theory · Physics 2024-09-24 Olof Ohlsson Sax , Dmitrii Riabchenko , Bogdan Stefański
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