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The holographic supersymmetric Casimir energy

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arxiv 1606.02724 v2 pith:X5UABYCA submitted 2016-06-08 hep-th

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

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We consider a general class of asymptotically locally AdS_5 solutions of minimal gauged supergravity, that are dual to superconformal field theories on curved backgrounds S^1 x M_3 preserving two supercharges. We demonstrate that standard holographic renormalization corresponds to a scheme that breaks supersymmetry. We propose new boundary terms that restore supersymmetry, and show that for smooth solutions with topology S^1 x R^4 the improved on-shell action reproduces both the supersymmetric Casimir energy and the field theory BPS relation between charges.

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Cited by 5 Pith papers

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

  1. Macroscopic origin of the topologically twisted index on $T^2 \times \Sigma_{\mathfrak{g}}$

    hep-th 2026-08 conditional novelty 7.0 of 10

    New supergravity black string saddles reproduce the large-N topologically twisted index of 4d N=1 SCFTs on T^2 × Σ_g via the on-shell action I = -π i c/(12τ).

  2. Equivariant localization for $D=5$ gauged supergravity

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    A method is given to compute the D=5 on-shell action via equivariant localization after dimensional reduction to D=4 N=2 gauged supergravity for solutions admitting both the R-symmetry Killing vector and an additional...

  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. Localizing AlAdS$_5$ black holes and the SUSY index on $S^1 \times M_3$

    hep-th 2025-11 conditional novelty 6.0 of 10

    The S^1×M_3 supersymmetric index for round, Lens, elliptically and biaxially squashed three-spheres is reproduced from D=5 equivariant localization after subtracting the Casimir energy via a gluing prescription.

  5. Type IIB Supergravity Action and Holography

    hep-th 2026-03 accept novelty 5.5 of 10

    A milder topological correction to the PST Type IIB action yields non-vanishing on-shell values matching holography for Lunin-Maldacena and AdS4 S-fold backgrounds.

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