Quantum K-theory of Calabi-Yau manifolds

Author:

Jockers Hans,Mayr Peter

Abstract

Abstract The disk partition function of certain 3d N = 2 supersymmetric gauge theories computes a quantum K-theoretic ring for Kähler manifolds X. We study the 3d gauge theory/quantum K-theory correspondence for global and local Calabi-Yau manifolds with several K¨ahler moduli. We propose a multi-cover formula that relates the 3d BPS world- volume degeneracies computed by quantum K-theory to Gopakumar-Vafa invariants.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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