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It was recently shown in arXiv:2009.11306 that tree-level correlation functions in tensionless string theory on $\rm{AdS}_3\times\rm{S}^3\times\mathbb{T}^4$ match the expected form of correlation functions in the symmetric orbifold CFT on…

High Energy Physics - Theory · Physics 2021-07-07 Bob Knighton

The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the…

High Energy Physics - Theory · Physics 2020-10-28 Yasuaki Hikida , Tianshu Liu

We comment on certain analogies that have recently emerged between path integral localisation phenomena in minimal tension string theory on $\mathrm{AdS}_3\times S^3\times T^4$ and associated varieties of boundary vertex algebras of 3d…

High Energy Physics - Theory · Physics 2025-07-18 Andrea E. V. Ferrari

We employ the free field realisation of the $\mathfrak{psu}(1,1|2)_1$ world-sheet theory to constrain the correlators of string theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with unit NS-NS flux. In particular, we directly…

High Energy Physics - Theory · Physics 2021-02-15 Andrea Dei , Matthias R. Gaberdiel , Rajesh Gopakumar , Bob Knighton

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

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

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

Tensionless string theory on $\text{AdS}_3\times\text{S}^3\times\mathcal{M}$ is explored in the limit that the strings wind the asymptotic boundary a large number of times. Although the worldsheet is usually thought to be localised to the…

High Energy Physics - Theory · Physics 2023-06-16 Bob Knighton

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

Using the path integral approach, we discuss the correlation functions of the $SL(2,\bfC)/SU(2)$ WZW model, which corresponds to the string theory on the Euclidean $AdS_3$. We obtain the two- and three-point functions for generic primary…

High Energy Physics - Theory · Physics 2016-09-06 Nobuyuki Ishibashi , Kazumi Okuyama , Yuji Satoh

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

Explicit examples of the AdS/CFT correspondence where both bulk and boundary theories are tractable are hard to come by, but the minimal tension string on $AdS_3 \times S^3 \times T^4$ is one notable example. In this paper, we discuss how…

High Energy Physics - Theory · Physics 2025-10-14 N. M. McStay , R. A. Reid-Edwards

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 revisit the computation of string worldsheet correlators on Euclidean $\text{AdS}_3$ with pure NS-NS background. We compute correlation functions with insertions of spectrally flowed operators. We explicitly solve all the known…

High Energy Physics - Theory · Physics 2021-09-01 Andrea Dei , Lorenz Eberhardt

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

In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model $\frac{SL(2,\mathbb{R})_k\times U(1)}{U(1)}\times S^3 \times T^4$ with $SL(2,\mathbb{R})$ WZW level $k\geq 2$,…

High Energy Physics - Theory · Physics 2021-02-09 Soumangsu Chakraborty

We discuss string theory on AdS(3)xS(3)xM(4) with particular emphasis on unitarity and state-operator correspondence. The AdS-CFT correspondence, in the Minkowski signature, is re-examined by taking into account the only allowed unitary…

High Energy Physics - Theory · Physics 2007-05-23 I. Bars , C. Deliduman , D. Minic

The symmetric orbifold of $\mathbb{T}^4$ was recently shown to be exactly dual to string theory on ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$ with minimal ($k=1$) NS-NS flux. The worldsheet theory is best formulated in terms of the…

High Energy Physics - Theory · Physics 2022-09-14 Matthias R. Gaberdiel , Kiarash Naderi , Vit Sriprachyakul

We carry out an exact worldsheet computation of tree level three-point correlators of chiral operators in string theory on AdS(3) x S^3 x T^4 with NS-NS flux. We present a simple representation for the string chiral operators in the…

High Energy Physics - Theory · Physics 2009-06-12 Atish Dabholkar , Ari Pakman

Tree-level scattering amplitudes in massless theories not only exhibit a simplicity entirely unexpected from Feynman diagrams, but also an underlying structure remarkably reminiscent of worldsheet theory correlators. These features can be…

High Energy Physics - Theory · Physics 2016-10-17 Yvonne Geyer
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