The heat kernel for deformed spheres

Details The heat kernel for deformed spheres The heat kernel for deformed spheres

1994-11-29

arxiv.org/abs/hep-th/9411214v1

J.Phys. A28 (1995) L37-L44

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, no figures

Scientific paper

10.1088/0305-4470/28/1/007

We derive the asymptotic expansion of the heat kernel for a Laplace operator acting on deformed spheres. We calculate the coefficients of the heat kernel expansion on two- and three-dimensional deformed spheres as functions of deformation parameters. We find that under some deformation the conformal anomaly for free scalar fields on $R^4\times \tilde S^2$ and $R^6\times \tilde S^2$ is canceled.

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