Wild Quiver Gauge Theories

TL;DR

This paper explores N=2 supersymmetric SU(2) gauge theories coupled to non-Lagrangian SCFTs derived from 6D theories on Riemann surfaces with irregular punctures, linking their prepotentials to irregular conformal blocks.

Contribution

It introduces a novel approach to compute prepotentials using irregular conformal blocks, extending the coherent state construction to higher order singularities.

Findings

Prepotential can be obtained from irregular conformal blocks.

Spectral curves relate to Hitchin systems with wild ramification.

Provides a new geometric framework for these gauge theories.

Abstract

We study N=2 supersymmetric SU(2) gauge theories coupled to non-Lagrangian superconformal field theories induced by compactifying the six dimensional A_1 (2,0) theory on Riemann surfaces with irregular punctures. These are naturally associated to Hitchin systems with wild ramification whose spectral curves provide the relevant Seiberg-Witten geometries. We propose that the prepotential of these gauge theories on the Omega-background can be obtained from the corresponding irregular conformal blocks on the Riemann surfaces via a generalization of the coherent state construction to the case of higher order singularities.