Topological field theory and thermal responses of interacting topological superconductors

TL;DR

This paper explores the topological and thermal properties of interacting three-dimensional time-reversal invariant topological superconductors using gravitational topological field theory and surface pairing defects, revealing their classifications and thermal responses.

Contribution

It introduces a gravitational topological field theory for classifying topological superconductors and links surface pairing defects to their topological classification.

Findings

Predicts a half-quantized thermal Hall effect on the surface.

Provides a $Z_2$ classification via gravitational topological field theory.

Establishes an integer $Z$ classification through surface pairing defects.

Abstract

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a $Z_2$ classification of topological superconductors, and predicts a half-quantized thermal Hall effect on the surface. The second description introduces an s-wave proximity pairing field on the surface, and the associated topological defects give an integer $Z$ classification of the topological superconductors.