Year: 2009
Type: article
Abstract: In this paper we initiate the study of spontaneous symmetry breaking in $3+1$ dimensional rotating, charged, asymptotically AdS black holes. The theory living on their boundary, $\mathbb{R}\ifmmode\times\else\texttimes\fi{}{S}^{2}$, has the interpretation of a $2+1$ dimensional rotating holographic superconductor. We study the appearance of a marginal mode of the condensate as the temperature is decreased. We find that the transition temperature depends on the rotation. At temperatures just below ${T}_{c}$, the transition temperature at zero rotation, there exists a critical value of the rotation, which destroys the superconducting order. This behavior is analogous to the emergence of a critical applied magnetic field and we show that the superconductor in fact produces the expected London field in the planar limit.
Author: Julian Sonner
Institutions: University of Cambridge, Imperial College London
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2003284894