Modular forms in the spectral action of Bianchi IX gravitational instantons

Abstract We prove a modularity property for the heat kernel and the Seeley-deWitt coefficients of the heat kernel expansion for the Dirac-Laplacian on the Bianchi IX gravitational instantons. We prove, via an isospectrality result for the Dirac operators, that each term in the expansion is a vector-...

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Bibliographic Details
Main Authors: Wentao Fan, Farzad Fathizadeh, Matilde Marcolli
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP01(2019)234