Abstract
We use the exact-deconstruction prescription to lift various squashed-S3 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 frac{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.
Highlights
We use the exact-deconstruction prescription to lift various squashed-S3 partition functions with supersymmetric-defect insertions to four-dimensional superconformal indices
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
We propose expressions for the superconformal index of 4D N = 2 theories in the presence of codimension-two defects with chiral (4,0) supersymmetry labelled by single-column Young tableaux
Summary
We begin with a general overview of dimensional deconstruction and its application at the level of supersymmetric sphere partition functions. Some of the details will be omitted at this stage, but will appear when we specialise to the cases of interest in the coming sections
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