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Supersymmetric theories on squashed five-sphere

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arxiv 1209.0561 v3 pith:Y35PPOJ3 submitted 2012-09-04 hep-th

classification hep-th
keywords supersymmetricactionconstructfive-spheresquashedtheoriesactionschern-simons
verification ladder T0 review T1 audit T2 compute T3 formal

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We construct supersymmetric theories on the SU(3)xU(1) symmetric squashed five-sphere with 2, 4, 6, and 12 supercharges. We first determine the Killing equation by dimensional reduction from 6d, and use Noether procedure to construct actions. The supersymmetric Yang-Mills action is straightforwardly obtained from the supersymmetric Chern-Simons action by using a supersymmetry preserving constant vector multiplet.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exact results for 5d SCFTs of long quiver type

    hep-th 2019-09 conditional novelty 8.0 of 10

    Analytic saddle-point solutions of the squashed S5 localization matrix model yield exact large-N free energies for long-quiver 5d SCFTs, matching holographic predictions.

  2. Towards OSV in AdS

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.

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