A superspace approach to AdS$_3$ string theory

Fuente: arXiv
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Autori principali: Knighton, Bob, McStay, Nathan, Sriprachyakul, Vit
Natura: Preprint
Pubblicazione: 2026
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author Knighton, Bob
McStay, Nathan
Sriprachyakul, Vit
author_facet Knighton, Bob
McStay, Nathan
Sriprachyakul, Vit
contents 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 manifestly preserves worldsheet supersymmetry and use this free-field realization to construct spectrally-flowed vertex operators describing the emission of long strings in the bulk. By working directly with the moduli space of super Riemann surfaces, we exactly compute tree-level correlation functions of long strings in the `near-boundary' limit without resorting to the standard picture-changing-operator (PCO) procedure. Finally, we argue how these correlators schematically reproduce correlation functions of the conjectured boundary CFTs, and as a result provide a novel proposal for the CFT dual for heterotic superstrings in $\text{AdS}_3$.
format Preprint
id arxiv_https___arxiv_org_abs_2603_18142
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A superspace approach to AdS$_3$ string theory
Knighton, Bob
McStay, Nathan
Sriprachyakul, Vit
High Energy Physics - Theory
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 manifestly preserves worldsheet supersymmetry and use this free-field realization to construct spectrally-flowed vertex operators describing the emission of long strings in the bulk. By working directly with the moduli space of super Riemann surfaces, we exactly compute tree-level correlation functions of long strings in the `near-boundary' limit without resorting to the standard picture-changing-operator (PCO) procedure. Finally, we argue how these correlators schematically reproduce correlation functions of the conjectured boundary CFTs, and as a result provide a novel proposal for the CFT dual for heterotic superstrings in $\text{AdS}_3$.
title A superspace approach to AdS$_3$ string theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2603.18142