T-branes, monopoles and S-duality

• DOI: 10.1007/jhep10(2017)113
• Publication Date: 2017-10-17T23:10:49Z
• Authors: Andrés Collinucci; Simone Giacomelli; Roberto Valandro
• Keywords: High Energy Physics - Theory; Field Theories in Lower Dimensions; Superstring Vacua; FOS: Physical sciences; QC770-798; 01 natural sciences; Physique atomique et nucléaire; Field Theories in Lower Dimensions; Supersymmetry and Duality; Duality in Gauge Field Theories; Superstring Vacua; High Energy Physics - Theory (hep-th); Field Theories in Lower Dimension; Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; Supersymmetry and Duality; Duality in Gauge Field Theorie; Duality in Gauge Field Theories

M2 branes probing T-brane backgrounds in M-theory with ADE surface singularities perceive deformations on their worldvolume superpotentials by monopole operators. The dynamics and moduli spaces of the resulting theories can be studied using a dual description involving conventional superpotential terms and (the dimensional reduction of) class S trinion theories. By using the S-dual description of N=2 SU(N) SQCD with 2N flavors in four dimensions, we are able to study T-branes corresponding to all minimal nilpotent orbits for the whole ADE series. Our proposed dualities are supported by the match in squashed sphere partition functions.<br/>59 pages, 25 figures; added Section 7 where we checked the proposed duality by sphere partition function computations<br/>