THE HEAT KERNEL FOR DEFORMED SPHERES

Authors
SHTYKOV N VASSILEVICH DV
Citation
N. Shtykov et Dv. Vassilevich, THE HEAT KERNEL FOR DEFORMED SPHERES, Journal of physics. A, mathematical and general, 28(1), 1995, pp. 37-43
Citations number
10
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
1
Year of publication
1995
Pages
37 - 43
Database
ISI
SICI code
0305-4470(1995)28:1<37:THKFDS>2.0.ZU;2-Y
Abstract
We derive the asymptotic expansion of the heat kernel for a Laplace op erator acting on deformed spheres. We calculate the coefficients of th e heat kernel expansion on two- and three-dimensional deformed spheres as functions of deformation parameters. We find that under some defor mation the conformal anomaly for free scalar fields on R(4) x ($) over tilde S-2 and R(6) x ($) over tilde S-2 is cancelled.