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Résumé |
Supersymmetric localization is a powerful technique to evaluate a class of functional integrals
in supersymmetric field theories. It reduces the functional integral over field space to ordinary
integrals over the space of solutions of the off-shell BPS equations. The application of this
technique to supergravity suffers from some problems, both conceptual and practical. I will
discuss one of the main conceptual problems, namely how to construct the fermionic symmetry
with which to localize. I will show how a deformation of the BRST technique allows us to do
this. This leads us to a formulation of twisted supergravity. I will then sketch a computation of
the one-loop determinant of the graviton supermultiplet that enters the localization formula for
BPS black hole entropy. |
