Work

Star-shaped quiver theories with flux

Year: 2020

Type: article

Abstract: We study the compactification of the six-dimensional (6D) $\mathcal{N}=(2,0)$ superconformal field theory on the product of a Riemann surface with flux and a circle. On the one hand, this can be understood by first reducing on the Riemann surface, giving rise to 4D $\mathcal{N}=1$ and $\mathcal{N}=2$ class $\mathcal{S}$ theories, which we then reduce on ${S}^{1}$ to get 3D $\mathcal{N}=2$ and $\mathcal{N}=4$ class $\mathcal{S}$ theories. On the other hand, we may first compactify on ${S}^{1}$ to get the 5D $\mathcal{N}=2$ Yang-Mills theory. By studying its reduction on a Riemann surface, we obtain a mirror dual description of 3D class $\mathcal{S}$ theories, generalizing the star-shaped quiver theories of Benini, Tachikawa, and Xie. We comment on some global properties of the gauge group in these reductions and test the dualities by computing various supersymmetric partition functions.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.101.065004

Authors: Shlomo S. Razamat, Brian Willett

Institutions: Technion – Israel Institute of Technology, University of California, Santa Barbara, Kavli Institute for Theoretical Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid