On the planar limit of 3d Tρσ[SU(N)]

Lorenzo Coccia, Christoph F. Uhlemann

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Abstract

We discuss a limit of 3d Tρσ[SU(N)] quiver gauge theories in which the number of nodes is large and the ranks scale quadratically with the length of the quiver. The sphere free energies and topologically twisted indices are obtained using supersymmetric localization. Both scale quartically with the length of the quiver and quadratically with N, with trilogarithm functions depending on the quiver data as coefficients. The IR SCFTs have well-behaved supergravity duals in Type IIB, and the free energies match precisely with holographic results. Previously discussed theories with N 2 ln N scaling arise as limiting cases. Each balanced 3d quiver theory is linked to a 5d parent, whose matrix model is related and dominated by the same saddle point, leading to close relations between BPS observables.

Original languageEnglish
Volume2021
DOIs
Publication statusPublished - Jun 2021

Publication series

NameJournal of High Energy Physics
PublisherSpringer Verlag
ISSN (Print)1126-6708

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).

Keywords

  • hep-th

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