1011.2706 (J. L. López et al.)

Noncommutative Geometry and Supergravity    [PDF]

J. L. López, O. Obregón, M. P. Ryan, M. Sabido

A spectral action of Euclidean supergravity is proposed. We calculate up to $a_4$, the Seeley-Dewitt coefficients in the expansion of the spectral action associated to the supergravity Dirac operator. This is possible because in simple supergravity, as in pure gravity, a well defined and mathematically consistent Dirac operator can be constructed.

View original: http://arxiv.org/abs/1011.2706