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Orientifold ABJM Matrix Model: Chiral Projections and Worldsheet Instantons

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arxiv 1603.00615 v3 pith:UO366CGS submitted 2016-03-02 hep-th

classification hep-th
keywords associatedfunctionpartitionsupergroupabjmmatrixorientifoldorthosymplectic
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We study the partition function of the orientifold ABJM theory, which is a superconformal Chern-Simons theory associated with the orthosymplectic supergroup. We find that the partition function associated with any orthosymplectic supergroup can be realized as the partition function of a Fermi gas system whose density matrix is identical to that associated with the corresponding unitary supergroup with a projection to the even or odd chirality. Furthermore we propose an identity which gives directly all of the Gopakumar-Vafa invariants for the worldsheet instanton effects in the chirally projected theories.

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    hep-th 2024-11 conditional novelty 6.0 of 10

    For affine D and E quiver Chern-Simons theories, duality cascades terminate uniquely only under large-rank restrictions because the associated polytope tiles the parameter space with gaps.

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