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-...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-01-01
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Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)234 |