Chern-Simons theory on L(p,q) lens spaces and Localization

TL;DR

This paper applies localization techniques to compute the partition function and Wilson loop expectations in Chern-Simons theory on lens spaces, extending known results to more general spaces.

Contribution

It introduces a method to calculate Chern-Simons invariants on lens spaces L(p,q) using localization, broadening the scope of previous analyses.

Findings

Partition functions computed for general lens spaces.

Wilson loop expectations evaluated on L(p,q).

Results align with existing theoretical predictions.

Abstract

Using localization technique, we calculate the partition function and the expectation value of Wilson loop operator in Chern-Simons theory on general lens spaces L(p,q)(including S2XS1). Our results are consistent with known results.