Complex phase diagram and thermodynamic supercriticality of five-dimensional four-charge AdS black holes in STU−W2U gauged supergravity
Abstract
In this paper, we investigate the complex phase structure and thermodynamic supercriticality of static four-charge anti-de Sitter (AdS) black holes in five-dimensional STU−W2U gauged supergravity, with all four physical electric charges held fixed. A Van der Waals-like first-order small/large black hole phase transition is found to terminate at a critical point. By analytically continuing the fixed-charge thermodynamic relations, we trace the two real spinodal singularities through criticality into a complex-conjugate pair in the supercritical region. The corresponding spinodal temperatures exhibit the characteristic 3/2 near-critical scaling, connecting the subcritical temperature splitting with the imaginary parts of the supercritical complex temperatures. We construct the associated complex phase diagram and identify a Widom-type crossover line from the real-temperature projection of the complex spinodals. This line progressively deviates from the locus of real heat-capacity maxima as the pressure increases. At higher pressures, the real heat-capacity extrema eventually merge and disappear, while the complex spinodal singularities persist. Together, these results reveal a continuous connection between critical phase transitions and supercritical thermodynamics through complex singularity structures, providing further insight into the thermodynamic phase behavior of multicharge supergravity black holes.
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BibTeX
@misc{wu2026complex,
title = {{Complex phase diagram and thermodynamic supercriticality of five-dimensional four-charge AdS black holes in $STU-W^2U$ gauged supergravity}},
author = {Di Wu and Xiao-Dan Zhu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05624},
eprint = {2611.05624},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05624},
}
RIS
TY - UNPB
TI - Complex phase diagram and thermodynamic supercriticality of five-dimensional four-charge AdS black holes in STU−W^2U gauged supergravity
AU - Di Wu
AU - Xiao-Dan Zhu
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05624
UR - https://arxiv.org/abs/2611.05624
AB - In this paper, we investigate the complex phase structure and thermodynamic supercriticality of static four-charge anti-de Sitter (AdS) black holes in five-dimensional STU−W^2U gauged supergravity, with all four physical electric charges held fixed. A Van der Waals-like first-order small/large black hole phase transition is found to terminate at a critical point. By analytically continuing the fixed-charge thermodynamic relations, we trace the two real spinodal singularities through criticality into a complex-conjugate pair in the supercritical region. The corresponding spinodal temperatures exhibit the characteristic 3/2 near-critical scaling, connecting the subcritical temperature splitting with the imaginary parts of the supercritical complex temperatures. We construct the associated complex phase diagram and identify a Widom-type crossover line from the real-temperature projection of the complex spinodals. This line progressively deviates from the locus of real heat-capacity maxima as the pressure increases. At higher pressures, the real heat-capacity extrema eventually merge and disappear, while the complex spinodal singularities persist. Together, these results reveal a continuous connection between critical phase transitions and supercritical thermodynamics through complex singularity structures, providing further insight into the thermodynamic phase behavior of multicharge supergravity black holes.
ER -