### 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 language | English |
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Article number | 113B01 |

Number of pages | 41 |

Journal | Progress of Theoretical and Experimental Physics |

Volume | 2013 |

Issue number | 11 |

DOIs | |

Publication status | Published - Nov 2013 |

### Keywords

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

## Cite this

*Progress of Theoretical and Experimental Physics*,

*2013*(11), [113B01]. https://doi.org/10.1093/ptep/ptt090