Hanany-Witten effect and SL(2,Z) dualities in matrix models

Abstract

We provide tests of dualities for three-dimensional N=4 quiver SCFTs with brane realizations in IIB string theory, by matching their exact partition functions on $S^3$. The dualities are generated by SL(2,Z) transformations and Hanany-Witten 5-brane moves. These contain mirror symmetry as well as dualities identifiying fixed points of Yang-Mills quivers and Chern-Simons theories. The partition function is given by a matrix model, that can be nicely rearranged into a sequence of factors mimicking the brane realization. Identities obeyed by these elementary factors can be used to match the partition functions of dual theories, providing tests for the full web of dualities. In particular we are able to check mirror symmetry for linear and circular quivers with gauge nodes of arbitrary ranks. Our analysis also leads to a proof of a conjectured formula evaluating the matrix models of linear quiver theories.

65 pages, 23 figures, v2, minor clarifications added, version published on JHEP

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Seiberg Duality in Chern-Simons Theory
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
• Chern-Simons-Matter Theory and Mirror Symmetry

Cited by in corpus (8)

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• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• Variations on S-fold CFTs
• Marginal operators and supersymmetry enhancement in 3d $S$-fold SCFTs
• Dualities for adjoint SQCD in three dimensions and emergent symmetries
• The Space of Vacua of 3d $\mathcal{N}=3$ Abelian Theories
• 3d dualities with decoupled sectors and brane transitions