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We revisit the path integral formulation of bosonic string theory in locally-AdS$_3$ spacetimes. Through a careful analysis of the worldsheet sigma model, we write down an effective theory of long strings living near the boundary of…

High Energy Physics - Theory · Physics 2024-10-23 Bob Knighton

We construct a CFT dual to string theory on AdS$_3$ with pure NS-NS flux. It is given by a symmetric orbifold of a linear dilaton theory deformed by a marginal operator from the twist-2 sector. We compute two- and three-point functions on…

High Energy Physics - Theory · Physics 2022-02-02 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

$AdS_3$ string theory in the stringy regime $k=(R_{AdS}/\ell_{str})^2 < 1$ provides a laboratory for the study of holography in which both sides of AdS/CFT duality are under fairly good control. Worldsheet string theory is solvable, and for…

High Energy Physics - Theory · Physics 2022-06-22 Emil J. Martinec

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

We consider string theory on a background of the form AdS_3 x N. Our aim is to give a description of the dual CFT in a general set up. With the requirement that we have N=2 supersymmetry in spacetime, we provide evidence that the dual CFT…

High Energy Physics - Theory · Physics 2015-06-25 Riccardo Argurio , Amit Giveon , Assaf Shomer

In this work, we study the proposed duality between superstring on AdS$_3\times$S$^3\times\mathbb{T}^4$ with pure NS-NS flux and a deformed symmetric orbifold CFT. We extract the residues of 3-point string correlators at their…

High Energy Physics - Theory · Physics 2025-06-23 Zhe-fei Yu

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 consider worldsheet string theory on $Z_N$ orbifolds of $AdS_3$ associated with conical singularities. If the orbifold action includes a similar twist of $S^3$, supersymmetry is preserved, and there is a moduli space of vacua arising…

High Energy Physics - Theory · Physics 2010-11-19 Emil Martinec , Will McElgin

We revisit the minimal tension ($k=1$) string theory on $\text{AdS}_3\times\text{S}^3\times\mathbb{T}^4$. We propose a new free-field description of the worldsheet theory and show how localization of string amplitudes emerges from the path…

High Energy Physics - Theory · Physics 2024-01-30 Andrea Dei , Bob Knighton , Kiarash Naderi

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 study string theory in three-dimensional Anti-de Sitter spacetime in the path integral formalism. We derive expressions for generic spectrally-flowed near-boundary vertex operators in the Wakimoto representation, and relate their…

High Energy Physics - Theory · Physics 2023-12-15 Bob Knighton , Sean Seet , Vit Sriprachyakul

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 propose a worldsheet description for the ${\rm AdS}_5\times {\rm S}^5$ string theory dual to large $N$, free ${\cal N}=4$ super Yang-Mills in four dimensions. The worldsheet theory is a natural generalisation of the recently investigated…

High Energy Physics - Theory · Physics 2021-09-29 Matthias R. Gaberdiel , Rajesh Gopakumar

We revisit the fermionic string theory on $AdS_3\times \mathcal{N}$ with $k=1$, and its single-trace $T\bar T$ deformation, with a focus on the $(2,2)$ superstring on (deformed) $AdS_3\times \mathbb{T}^3$. In a certain limit, it is dual to…

High Energy Physics - Theory · Physics 2025-07-23 Soumangsu Chakraborty , Amit Giveon

We review old and recent results on a special limit of string theory on AdS$_3\times M_7$ with pure NS-NS fluxes: the limit in which the string length $\ell_s=\sqrt{\alpha'}$ equals the AdS$_3$ radius $R $. At this point of the moduli…

High Energy Physics - Theory · Physics 2020-06-24 Gaston Giribet

We show how some features of the AdS/CFT correspondence for AdS_3 can easily be understood via standard world-sheet methods and 2d gravity like scaling arguments. To do this, we propose a stringy way for perturbing two-dimensional CFT's…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Andreev

We study string propagation on $AdS_3$ times a compact space from an ``old fashioned'' worldsheet point of view of perturbative string theory. We derive the spacetime CFT and its Virasoro and current algebras, thus establishing the…

High Energy Physics - Theory · Physics 2008-11-26 A. Giveon , D. Kutasov , N. Seiberg

We continue to investigate properties of the worldsheet conformal field theories (CFTs) which are conjectured to be dual to free large N gauge theories, using the mapping of Feynman diagrams to the worldsheet suggested in hep-th/0504229.…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Justin R. David , Rajesh Gopakumar , Zohar Komargodski , Shlomo S. Razamat

We study correlation functions of spectrally-flowed vertex operators in bosonic string theory on $\text{AdS}_3\times X$ in the path integral formalism. By restricting the path integral to only include worldsheets which live near the…

High Energy Physics - Theory · Physics 2024-04-15 Bob Knighton , Vit Sriprachyakul