Reduced Chern-Simons quiver theories and cohomological 3-algebra models

Joshua DeBellis, Richard Joseph Szabo

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Abstract

We study the BPS spectrum and vacuum moduli spaces in dimensional reductions of Chern-Simons-matter theories with N >= 2 supersymmetry to zero dimensions. Our main example is a matrix model version of the ABJM theory that we relate explicitly to certain reduced 3-algebra models. We find the explicit maps from Chern-Simons quiver matrix models to dual IKKT matrix models. We address the problem of topologically twisting the ABJM matrix model, and along the way construct a new twist of the IKKT model. We construct a cohomological matrix model whose partition function localizes onto a moduli space specified by 3-algebra relations that live in the double of the conifold quiver. It computes an equivariant index enumerating framed BPS states with specified R-charges that can be expressed as a combinatorial sum over certain filtered pyramid partitions.

Original languageEnglish
Article number113B01
Number of pages41
JournalProgress of Theoretical and Experimental Physics
Volume2013
Issue number11
DOIs
Publication statusPublished - Nov 2013

Keywords

  • IIB MATRIX MODEL
  • FIELD-THEORY
  • BRANES
  • MODULI
  • SPACE

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