Lens space determinants

Abstract

More analysis of operator determinants on homogeneous three dimensional lens spaces is presented with the emphasis on numerics so that Laplacians for massive fields can be dealt with. Polyhedral quotients are also briefly considered. Twisted fields, corresponding to flat connections, are looked at and examples of determinants computed. Twisted cyclic quantities are sufficient to determine those for any twisting on any factor. An application to the thermodynamics on sphere quotients is given. Some computations are made for inhomogeneous lens spaces and higher dimensions are commented on. Minimal coupling is also dealt with.

18 pages, 7 figures. This is the final version. A section on minimal coupling is added, and a few corrections

References in corpus (3)

• The large N limit of M2-branes on Lens spaces
• Sphere Renyi entropies
• Group theory aspects of spectral problems on spherical factors

Cited by in corpus (2)

• Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity
• Quantum Field Theory on spherical space forms