# Analytic investigation of rotating holographic superconductors

Srivastav, Ankur (Aff1, 0000 0001 2188 427X, grid.452759.8, Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake City, 700106, Kolkata, India) ; Gangopadhyay, Sunandan (Aff1, 0000 0001 2188 427X, grid.452759.8, Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake City, 700106, Kolkata, India)

16 April 2019

Abstract: In this paper we have investigated, in the probe limit, s -wave holographic superconductors in rotating AdS3+1 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$AdS_{3+1}$\end{document} spacetime using the matching method as well as the Stürm–Liouville eigenvalue approach. We have calculated the critical temperature using the matching technique in such a setting and our results are in agreement with previously reported results obtained using the Stürm–Liouville approach. We have then obtained the condensation operators using both analytical methods. The results obtained by both these techniques share the same features as found numerically. We observe that the rotation parameter of the black hole affects the critical temperature and the condensation operator in a non-trivial way.

Published in: EPJC 79 (2019) 340 DOI: 10.1140/epjc/s10052-019-6834-0