The $Ad{S}_3\times S^1$ Chiral Ring

Abstract

We study $Ad{S}_3\times S^1\times Y$ supersymmetric string theory backgrounds with Neveu-Schwarz-Neveu-Schwarz flux that are dual to $\mathcal{N}=2$ 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 $\mathcal{N}=2$ superconformal theory on $Y$.

arXiv comment44 pages

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Cited by in corpus (1)

• The Chiral Ring of a Symmetric Orbifold and its Large N Limit