Heterotic surface defects and dualities from 2d/4d indices
Journal
Journal of High Energy Physics
Journal Volume
2014
Journal Issue
10
Date Issued
2014
Author(s)
Chen, H.-Y.
Abstract
Starting with the superconformai indices for 4d N = 2 and N = 1 super-symmetric gauge theories, that are related by superpotential deformation, we perform the contour integrations and isolate the residue contributions which can be attributed to the surface defects. These defects can be interpreted as the IR limit of dynamical vortices. Given the 2d N = (2, 2) and N = (0, 2) world sheet theories for these surface defects, we then verify this statement by explicitly computing their elliptic genera and identifying their fugacity parameters through superconformal algebras. We show them precisely match, hence extend previous prescriptions for inserting surface defects into 4d supersymmetric partition functions to N = 1 setting. We also study how 4d N = 1 IR dualities descend into the N = (0, 2) world sheet theories of their surface defects, and extend the N = (2, 2) triality observed earlier to other N = (0, 2) surface defects unrelated to dynamical vortices.
Type
journal article