Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 19 (2023), 039, 32 pages      arXiv:2212.03870      https://doi.org/10.3842/SIGMA.2023.039

Double Quiver Gauge Theory and BPS/CFT Correspondence

Taro Kimura
Institut de Mathématiques de Bourgogne, Université de Bourgogne, CNRS, France

Received January 22, 2023, in final form May 28, 2023; Published online June 08, 2023

Abstract
We provide a formalism using the $q$-Cartan matrix to compute the instanton partition function of quiver gauge theory on various manifolds. Applying this formalism to eight dimensional setups, we introduce the notion of double quiver gauge theory characterized by a pair of quivers. We also explore the BPS/CFT correspondence in eight dimensions based on the $q$-Cartan matrix formalism.

Key words: quiver gauge theory; BPS/CFT correspondence; instanton moduli space; quiver variety; Calabi-Yau four-fold.

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