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Effective actions on squashed lens spaces

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abstract

As a technical exercise with possible relevance to the holographic principle and string theory, the effective actions (functional determinants) for scalars and spinors on the squashed three-sphere identified under the action of a cyclic group, Z_m, are determined. Especially in the extreme oblate squashing limit, which has a thermodynamic interpretation, the high temperature behaviour is found as a function of m. Although the intermediate details for odd and even m are different, the final answers are the same. A thermodynamic interpretation for spinors is possible only for twisted periodicity conditions and m even.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

CFTs on Squashed Spheres and the Thermal Effective Action

hep-th · 2026-06-29 · unverdicted · novelty 7.0

Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.

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  • CFTs on Squashed Spheres and the Thermal Effective Action hep-th · 2026-06-29 · unverdicted · none · ref 25 · internal anchor

    Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.