Lens space matter determinants in the vector model

TL;DR

This paper presents a straightforward method to compute the free energy of the matter singlet sector in the N-vector model on lens spaces, facilitating analysis of topological effects in such models.

Contribution

It introduces a simple quadrature formula for the free energy in the vector model on lens spaces, advancing computational techniques in this area.

Findings

Provides an explicit quadrature for free energy calculation

Enables analysis of topological effects in vector models

Simplifies previous computational approaches

Abstract

A simple quadrature is given for the free energy (or logdet) of the matter singlet sector in the N-vector model on homogeneous lens spaces.