Effective actions onsquashed lens spaces

Abstract

In order to test whether the boundary field theory entropy reflects Misnerstring bulk contributions, the effective actions(functional determinants) for scalars and spinors on the squashed3-sphere identified under the action of a cyclic group, ℤm, aredetermined. Especially in the extreme oblate squashing limit, which has athermodynamic interpretation, the high-temperature behaviour is found asa function of m. Although the intermediate details for odd and even mare different, the final answers are the same. A thermodynamicinterpretation for spinors is possible only for twisted periodicityconditions and m even.