Journal Article Orientifold ABJM matrix model: chiral projections and worldsheet instantons

Moriyama, Sanefumi  ,  Nosaka, Tomoki

20162016-06 , Springer Verlag
Abstract: 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.[Figure not available: see fulltext.]

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