Holographic superconductors with Weyl corrections

TL;DR

This paper reviews analytical methods for holographic superconductors with Weyl corrections, covering s-wave, p-wave, and St"uckelberg types, and compares numerical and analytical results.

Contribution

It provides a comprehensive review of analytical approaches and extends the fundamental construction of p-wave holographic superconductors with Weyl tensor coupling.

Findings

Analytical and numerical results are compared successfully.

Different types of holographic superconductors with Weyl corrections are investigated.

The construction of p-wave holographic superconductors with non-Abelian gauge fields is detailed.

Abstract

A quick review on the analytical aspects of holographic superconductors (HSC) with Weyl corrections has been presented. Mainly we focus on matching method and variations approaches. Different types of such HSC have been investigated, s-wave, p-wave and St\'{u}ckelberg ones. We also review the fundamental construction of a p-wave type , in which the non-Abelian gauge field is coupled to the Weyl tensor. The results are compared from numerics to analytical results.