Anomaly induced transport in holographic superconductors
Abstract
We investigate the anomaly-induced transport properties of a holographic superconductor exhibiting spontaneous symmetry breaking. The holographic model incorporates vector and axial gauge fields, an additional non-anomalous U(1) symmetry, and a charged scalar field that drives the phase transition. Working in the probe limit, we numerically construct the superconducting background under two alternative scalar field quantizations, corresponding to operators with scaling dimensions Δ=1 and Δ=3 (denoted as the O1 and O2 theories, respectively). Using Kubo formulae, we compute the chiral magnetic conductivities and examine their response to the scalar condensate. Our findings demonstrate that spontaneous symmetry breaking allows anomaly-induced transport to extend beyond anomalous currents, significantly impacting the non-anomalous sector as well. Remarkably, this effect appears in both theories, indicating that the influence on the non-anomalous sector is independent of the chosen quantization. The comparison of our numerical results with the analytical limits for Oi → 0 and Oi → ∞ (i=1,2) reveals consistent behavior across both theories.
Related
- Anomaly Matching between Topological Superconductors and 𝒩=8 Supergravity
- Rotation and Anisotropic Scaling in Axionic Holographic Superconductors: AdS4 versus Lifshitz5
- From Critical Zero Modes to Interior Dynamics in Holographic Superconductors
- Optical conductivity of holographic striped superconductors
- Holographic s+p superconductors with nonlinear electrodynamics
BibTeX
@misc{tamang2026anomaly,
title = {{Anomaly induced transport in holographic superconductors}},
author = {Ashis Tamang and Nishal Rai and Javier Esteban and Eugenio Megias},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13727},
eprint = {2610.13727},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13727},
}
RIS
TY - UNPB
TI - Anomaly induced transport in holographic superconductors
AU - Ashis Tamang
AU - Nishal Rai
AU - Javier Esteban
AU - Eugenio Megias
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13727
UR - https://arxiv.org/abs/2610.13727
AB - We investigate the anomaly-induced transport properties of a holographic superconductor exhibiting spontaneous symmetry breaking. The holographic model incorporates vector and axial gauge fields, an additional non-anomalous U(1) symmetry, and a charged scalar field that drives the phase transition. Working in the probe limit, we numerically construct the superconducting background under two alternative scalar field quantizations, corresponding to operators with scaling dimensions Δ=1 and Δ=3 (denoted as the O_1 and O_2 theories, respectively). Using Kubo formulae, we compute the chiral magnetic conductivities and examine their response to the scalar condensate. Our findings demonstrate that spontaneous symmetry breaking allows anomaly-induced transport to extend beyond anomalous currents, significantly impacting the non-anomalous sector as well. Remarkably, this effect appears in both theories, indicating that the influence on the non-anomalous sector is independent of the chosen quantization. The comparison of our numerical results with the analytical limits for O_i → 0 and O_i → ∞ (i=1,2) reveals consistent behavior across both theories.
ER -