Rotation and Anisotropic Scaling in Axionic Holographic Superconductors: AdS4 versus Lifshitz5
Abstract
An outstanding question in holographic superconductivity is how rotation and non-relativistic scaling symmetries compete to modify the onset of condensation. We address this by comparing the probe superconductor sectors of two exact rotating axionic black holes: a four-dimensional asymptotically anti-de Sitter solution dressed by a non-minimally coupled scalar, and a five-dimensional asymptotically Lifshitz solution with z ∈ (2,3). Writing both metrics in a common stationary form yields a master scalar equation in which rotation enters through the co-rotating potential At−NxAx. This equation explains why the temporal and spatial components of the probe gauge field cannot be treated independently. The numerical profiles reported in [1,2] indicate that the correlated deformation associated with rotation reduces the condensate amplitude in both backgrounds, whereas increasing the dynamical exponent at fixed J enhances the Lifshitz condensate. Since the parameters α and J also modify the matter fields supporting the corresponding exact geometries, these trends should be interpreted as properties of complete correlated families rather than as universal effects of mechanical rotation alone.
Related
- Chiral superconductors and competing states across a Lifshitz transition in rhombohedral pentalayer graphene
- Magnon Theory of Domain Wall Wavefronts and the Ballistic Diffusive Crossover in the Classical Anisotropic Landau Lifshitz Spin Chain
- Ground-State Phase Diagram, Higher-Winding Topology, and Lifshitz Criticality in an Anisotropic Four-Spin XX Chain
- Anomaly induced transport in holographic superconductors
- From Critical Zero Modes to Interior Dynamics in Holographic Superconductors
BibTeX
@misc{bravogaete2026rotation,
title = {{Rotation and Anisotropic Scaling in Axionic Holographic Superconductors: AdS$_4$ versus Lifshitz$_5$}},
author = {Moisés Bravo-Gaete},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02063},
eprint = {2610.02063},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02063},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Rotation and Anisotropic Scaling in Axionic Holographic Superconductors: AdS_4 versus Lifshitz_5
AU - Moisés Bravo-Gaete
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.02063
UR - https://arxiv.org/abs/2610.02063
AB - An outstanding question in holographic superconductivity is how rotation and non-relativistic scaling symmetries compete to modify the onset of condensation. We address this by comparing the probe superconductor sectors of two exact rotating axionic black holes: a four-dimensional asymptotically anti-de Sitter solution dressed by a non-minimally coupled scalar, and a five-dimensional asymptotically Lifshitz solution with z ∈ (2,3). Writing both metrics in a common stationary form yields a master scalar equation in which rotation enters through the co-rotating potential A_t−N^xA_x. This equation explains why the temporal and spatial components of the probe gauge field cannot be treated independently. The numerical profiles reported in [1,2] indicate that the correlated deformation associated with rotation reduces the condensate amplitude in both backgrounds, whereas increasing the dynamical exponent at fixed J enhances the Lifshitz condensate. Since the parameters α and J also modify the matter fields supporting the corresponding exact geometries, these trends should be interpreted as properties of complete correlated families rather than as universal effects of mechanical rotation alone.
ER -