Abstract
Abstract
We consider extremal correlation functions, involving arbitrary number of BPS (chiral or twisted chiral) operators and exactly one anti-BPS operator in 2D
$$ \mathcal{N} $$
N
= (2, 2) theories. These correlators define the structure constants in the rings generated by the BPS operators with their operator product expansions. We present a way of computing these correlators from the sphere partition function of a deformed theory using localization. Relating flat space and sphere correlators is nontrivial due to operator mixing on the sphere induced by conformal anomaly. We discuss the supergravitational source of this complication and a resolution thereof. Finally, we demonstrate the process for the Quintic GLSM and the Landau-Ginzburg minimal models.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
3 articles.
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1. Extremal correlators and random matrix theory;Journal of High Energy Physics;2021-04
2. Giant Wilson loops and AdS2/dCFT1;Journal of High Energy Physics;2020-11
3. Twisted massive non-compact models;Journal of High Energy Physics;2018-07