Complete factorization in minimal N=4 Chern-Simons-matter theory

Abstract

We investigate an N=4 U(N)_k x U(N+M)_{-k} Chern-Simons theory coupled to one bifundamental hypermultiplet by employing its partition function, which is given by 2N+M dimensional integration via localization. Surprisingly, by performing the integration explicitly we find that the partition function completely factorizes into that of the pure Chern-Simons theory for two gauge groups and an analogous contribution for the bifundamental hypermultiplet. Using the factorized form of the partition function we argue the level/rank duality, which is also expected from the Hanany-Witten transition in the type IIB brane realization. We also present the all order 't Hooft expansion of the partition function and comment on the connection to the higher-spin theory.

1+20 pages, 5 figures, v2: comments on the convergence and regularization of the partition function, one figure, references added, some other minor improvements, v3: typos corrected, published version

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Cited by in corpus (12)

• All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
• Bose-Fermi Chern-Simons Dualities in the Higgsed Phase
• Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
• Dual Superconformal Symmetry of $\mathcal{N}=2$ Chern-Simons theory with Fundamental Matter at Large $N$
• Index and duality of minimal N=4 Chern-Simons-matter theories
• Fermi gas approach to general rank theories and quantum curves
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Dualities and loops on squashed $S^3$
• Vacua, Symmetries, and Higgsing of Chern-Simons Matter Theories
• Linear Chern-Simons-matter Theories in the Planar Limit