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Perturbative partition function for a squashed S^5

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arxiv 1210.6308 v3 pith:3OZN2KFP submitted 2012-10-23 hep-th

classification hep-th
keywords functionpartitionperturbativesquashedboundarycompactifyingcomputecondition
verification ladder T0 review T1 audit T2 compute T3 formal

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We compute the index of 6d N=(1,0) theories on S^5 x R containing vector and hypermultiplets. We only consider the perturbative sector without instantons. By compactifying R to S^1 with a twisted boundary condition and taking the small radius limit, we derive the perturbative partition function on a squashed S^5. The 1-loop partition function is represented in a simple form with the triple sine function.

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Cited by 4 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.

  3. Supersymmetric zeta functions and determinants

    hep-th 2025-11 conditional novelty 6.0 of 10

    Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.

  4. Contour Integral for the Partition Function of $\mathcal{N}=2$ Topologically Twisted on $\mathbb{CP}^2$ and Physical Fluxes

    hep-th 2025-10 conditional novelty 6.0 of 10

    Derives a single-flux contour-integral formula for the N=2 twisted SU(2) partition function on CP^2 and new equivariant invariants reducing to Donaldson invariants.

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