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<p>We present a family of exact neutral hairy black-hole solutions with spherical horizon topology in extended supergravity with Fayet-Iliopoulos terms. We consider a consistent dilaton truncation and analyze in detail a sector where the magnetic part of the FI terms vanishes. Using appropriate dilaton counterterms, we compute the thermodynamic quantities and show the existence of Hawking-Page phase transitions. As a holographic application, we derive the thermal superpotential in closed form and use it as a counterterm, explicitly demonstrating that no additional finite counterterms are required to regularize the Euclidean action and the quasi-local stress tensor. The dual stress tensor matches that of a thermal gas of massless particles and is consistent with mixed dilaton boundary conditions that preserve conformal symmetry.</p>

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Thermal superpotential and thermodynamics of neutral hairy black holes in extended SUGRA

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月27日

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  • Andrés Anabalón,
  • Dumitru Astefanesei,
  • David Choque,
  • Antonio Gallerati

摘要

We present a family of exact neutral hairy black-hole solutions with spherical horizon topology in extended supergravity with Fayet-Iliopoulos terms. We consider a consistent dilaton truncation and analyze in detail a sector where the magnetic part of the FI terms vanishes. Using appropriate dilaton counterterms, we compute the thermodynamic quantities and show the existence of Hawking-Page phase transitions. As a holographic application, we derive the thermal superpotential in closed form and use it as a counterterm, explicitly demonstrating that no additional finite counterterms are required to regularize the Euclidean action and the quasi-local stress tensor. The dual stress tensor matches that of a thermal gas of massless particles and is consistent with mixed dilaton boundary conditions that preserve conformal symmetry.