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: | 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 |
Similar Items
-
Gauge theories on κ-Minkowski spaces: twist and modular operators
by: Philippe Mathieu, et al.
Published: (2020-05-01) -
Worldline quantization of field theory, effective actions and L ∞ structure
by: L. Bonora, et al.
Published: (2018-04-01) -
Basic quantizations of D = 4 Euclidean, Lorentz, Kleinian and quaternionic o⋆4 $$ {\mathfrak{o}}^{\star }(4) $$ symmetries
by: A. Borowiec, et al.
Published: (2017-11-01) -
Quantum D = 3 Euclidean and Poincaré symmetries from contraction limits
by: Jerzy Kowalski-Glikman, et al.
Published: (2020-09-01) -
Quasitriangular structure and twisting of the 3D bicrossproduct model
by: S. Majid, et al.
Published: (2018-01-01)