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We consider string theory on AdS$_3$ $\times$ (S$^3$ $\times$ S$^3$ $\times$ S$^1)/\mathbb Z_2$, a background supporting $\mathcal N=(3,3)$ spacetime supersymmetry. We propose that string theory on this background is dual to the symmetric…

High Energy Physics - Theory · Physics 2018-05-28 Lorenz Eberhardt , Ida G. Zadeh

Superstring theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with the smallest amount of NS-NS flux (`$k=1$') is shown to be dual to the spacetime CFT given by the large $N$ limit of the free symmetric product orbifold…

High Energy Physics - Theory · Physics 2019-05-01 Lorenz Eberhardt , Matthias R. Gaberdiel , Rajesh Gopakumar

We propose a class of ${\rm AdS}_3/{\rm CFT}_2$ dualities with $\mathcal{N}=(2,2)$ supersymmetry. These dualities relate string theory on ${\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G}$ to marginal deformations of the symmetric…

High Energy Physics - Theory · Physics 2019-07-23 Shouvik Datta , Lorenz Eberhardt , Matthias R. Gaberdiel

The symmetric orbifold of K3 is believed to be the CFT dual of string theory on AdS3 x S3 x K3 at the tensionless point. For the case when the K3 is described by the orbifold T4/Z2, we identify a subsector of the symmetric orbifold theory…

High Energy Physics - Theory · Physics 2015-07-29 Marco Baggio , Matthias R. Gaberdiel , Cheng Peng

The BPS spectrum of string theory on AdS$_3\times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ is determined using a world-sheet description in terms of WZW models. It is found that the theory only has BPS states with $j^+ = j^-$ where…

High Energy Physics - Theory · Physics 2017-07-13 Lorenz Eberhardt , Matthias R. Gaberdiel , Rajesh Gopakumar , Wei Li

For string theory on AdS$_3$ with pure NS-NS flux a complete set of DDF operators is constructed, from which one can read off the symmetry algebra of the spacetime CFT. Together with an analysis of the spacetime spectrum, this allows us to…

High Energy Physics - Theory · Physics 2019-10-23 Lorenz Eberhardt , Matthias R. Gaberdiel

It was recently argued that string theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with one unit ($k=1$) of NS-NS flux is exactly dual to the symmetric orbifold CFT ${\rm Sym}^N(\mathbb{T}^4)$. In this paper we show how to…

High Energy Physics - Theory · Physics 2020-04-07 Lorenz Eberhardt , Matthias R. Gaberdiel , Rajesh Gopakumar

In this paper, we put forward and discuss a proposal for a Quantum Spectral Curve (QSC) describing the planar spectrum of the holographic CFT dual to strings on AdS$_3\times$ S$^3\times$ S$^3\times$ S$^1$, a theory with global symmetry…

High Energy Physics - Theory · Physics 2026-02-20 Andrea Cavaglià , Rouven Frassek , Nicolò Primi , Roberto Tateo

The CFT dual of string theory on $({\rm AdS}_3 \times {\rm S}^3)/\mathbb{Z}_k\times \mathbb{T}^4$ is believed to be described by the subspace of the symmetric orbifold of $\mathbb{T}^4$ that comprises the low-lying excitations on top of a…

High Energy Physics - Theory · Physics 2025-11-12 Matthias R. Gaberdiel , Bin Guo

It was recently shown that string theory on $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ with minimal NS-NS flux ($k = 1$) is exactly dual to the symmetric orbifold of T4. Here we show that a similar statement also holds for the…

High Energy Physics - Theory · Physics 2020-02-05 Matthias R. Gaberdiel , Jeremy A. Mann

We discuss aspects of holography in the AdS_3 \times S^p near string geometry of a collection of straight fundamental heterotic strings. We use anomalies and symmetries to determine general features of the dual CFT. The symmetries suggest…

High Energy Physics - Theory · Physics 2009-04-03 Per Kraus , Finn Larsen , Akhil Shah

We continue our study of the worldsheet theory of superstrings on $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ in the tensionless limit arXiv:1911.00378. We consider the theory on higher genus surfaces. We give evidence that the…

High Energy Physics - Theory · Physics 2020-02-28 Lorenz Eberhardt

We continue the study of string theory on AdS_3 x SU(3)/U(1) and AdS_3 x SO(5)/SO(3). We compute the spacetime spectrum of the N=3 supersymmetric dual CFT using worldsheet techniques. The spectrum of chiral primaries coincides for the two…

High Energy Physics - Theory · Physics 2009-10-31 Riccardo Argurio , Amit Giveon , Assaf Shomer

We study the superstring theory on pp-wave background with NSNS-flux that is realized as the Penrose limit of AdS_3 x S^3 x M^4, where M^4 is T^4 or T^4/Z_2(~ K3). Quantizing this system in the covariant gauge, we explicitly construct the…

High Energy Physics - Theory · Physics 2014-11-18 Yasuaki Hikida , Yuji Sugawara

We study singular time-dependent $\frac{1}{8}$-BPS configurations in the abelian sector of ${{\mathcal N}= 4}$ supersymmetric Yang-Mills theory that represent BPS string-like defects in ${{\mathbb R}\times S^3}$ spacetime. Such BPS strings…

High Energy Physics - Theory · Physics 2021-02-03 Sujay K. Ashok , Varun Gupta , Nemani V. Suryanarayana

String theory on ${\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ with pure NS-NS flux and minimal flux through one of the two ${\rm S}^3$'s is studied from a world-sheet perspective. It is shown that the spacetime spectrum,…

High Energy Physics - Theory · Physics 2021-01-13 Lorenz Eberhardt , Matthias R. Gaberdiel

Recently, string theory on $\text{AdS}_3 \times \text{S}^3 \times \mathbb{T}^4$ with one unit of NS-NS flux ($k=1$) was argued to be exactly dual to the symmetric orbifold of $ \mathbb{T}^4$, and in particular, the full (unprotected)…

High Energy Physics - Theory · Physics 2020-01-29 Andrea Dei , Lorenz Eberhardt , Matthias R. Gaberdiel

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 aspects of holographic duals to time-like warped AdS_3 space-times--which include G\"odel's universe--in string theory. Using worldsheet techniques similar to those that have been applied to AdS_3 backgrounds, we are able to…

High Energy Physics - Theory · Physics 2011-01-17 Stéphane Detournay , Dan Israel , Joshua M. Lapan , Mauricio Romo

The hypothesis that every theory of quantum gravity in AdS_3 is a dimensional reduction of string/M-theory leads to a natural conjecture for the density of states of two dimensional CFTs with a large central charge limit. We prove this…

High Energy Physics - Theory · Physics 2015-05-20 Alexandre Belin , Christoph A. Keller , Alexander Maloney
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