The heat kernel for deformed spheres
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- 1 January 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (1) , L37-L43
Abstract
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 R4*S2 and R6*S2 is cancelled.Keywords
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