The AdS 3 × S 1 chiral ring

Abstract We study AdS 3 × S 1 × Y supersymmetric string theory backgrounds with Neveu-Schwarz-Neveu-Schwarz flux that are dual to N $$ \mathcal{N} $$ = 2 superconformal theories on the boundary. We classify all worldsheet vertex operators that correspond to space-time chiral primaries. We compute sp...

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Bibliographic Details
Main Authors: Sujay K. Ashok, Songyuan Li, Jan Troost
Format: article
Language:EN
Published: SpringerOpen 2021
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Online Access:https://doaj.org/article/d2ac2e804a944b9abcf6536979b39ee2
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Summary:Abstract We study AdS 3 × S 1 × Y supersymmetric string theory backgrounds with Neveu-Schwarz-Neveu-Schwarz flux that are dual to N $$ \mathcal{N} $$ = 2 superconformal theories on the boundary. We classify all worldsheet vertex operators that correspond to space-time chiral primaries. We compute space-time chiral ring structure constants for operators in the zero spectral flow sector using the operator product expansion in the worldsheet theory. We find that the structure constants take a universal form that depends only on the topological data of the N $$ \mathcal{N} $$ = 2 superconformal theory on Y.