Squashing and supersymmetry enhancement in three dimensions
Joseph Minahan, Usman Naseer, Charles Thull
SciPost Phys. 12, 025 (2022) · published 17 January 2022
- doi: 10.21468/SciPostPhys.12.1.025
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Abstract
We consider mass-deformed theories with ${\cal N}\geq2$ supersymmetry on round and squashed three-spheres. By embedding the supersymmetric backgrounds in extended supergravity we show that at special values of mass deformations the supersymmetry is enhanced on the squashed spheres. When the $3d$ partition function can be obtained by a limit of a $4d$ index we also show that for these special mass deformations only the states annihilated by extra supercharges contribute to the index. By using an equivalence between partition functions on squashed spheres and ellipsoids, we explain the recently observed squashing independence of the partition function of mass-deformed ABJ(M) theory on the ellipsoid. We provide further examples of such simplification for various $3d$ supersymmetric theories.
Cited by 10
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Joseph Minahan,
- 1 Usman Naseer,
- 1 Charles Thull