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.
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Hayling, J., Niarchos, V. & Papageorgakis, C. Deconstructing defects. J. High Energ. Phys. 2019, 67 (2019). https://doi.org/10.1007/JHEP02(2019)067
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DOI: https://doi.org/10.1007/JHEP02(2019)067