Deconstructing Defects
Abstract
We use the exact-deconstruction prescription to lift various squashed- partition functions with supersymmetric-defect insertions to four-dimensional superconformal indices. Starting from three-dimensional circular-quiver theories with vortex-loop-operator insertions, we recover the index of four-dimensional theories in the presence of codimension-two surface defects with (2,2) supersymmetry. The case of deconstruction with Wilson-loop insertions is discussed separately. We provide evidence that a certain prescription leads to the index of four-dimensional theories in the presence of surface defects with (4,0) supersymmetry. In addition, we deconstruct the index of four-dimensional gauge theories with codimension-one 1/2-BPS defects, starting from three-dimensional circular-quiver theories containing localised matter/gauge-field insertions at specific nodes. We also clarify certain calculational and conceptual points related to exact deconstruction.
Cite
@article{arxiv.1809.10485,
title = {Deconstructing Defects},
author = {Joseph Hayling and Vasilis Niarchos and Constantinos Papageorgakis},
journal= {arXiv preprint arXiv:1809.10485},
year = {2019}
}
Comments
46 pages, 9 figures; v2: interpretational aspects of the deconstructed indices clarified and discussion on codimension-one defects improved; published version