Toward Supergravity Spectral Action
Abstract
A spectral action of Euclidean supergravity is proposed. We calculate up to a4, 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.
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