Abstract
We consider mass-deformed theories with
\mathcal{N}\geq2𝒩≥2
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.
Funder
Knut och Alice Wallenbergs Stiftelse
Vetenskapsrådet
Subject
General Physics and Astronomy
Cited by
10 articles.
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