Localization of the free energy in supergravity
We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to D = 4, N = 2 gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As wel...
Main Authors: | , , , , |
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Format: | Journal article |
Language: | English |
Published: |
American Physical Society
2024
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Summary: | We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions
to D = 4, N = 2 gauged supergravity coupled to vector multiplet matter. This allows one to
compute the free energy without solving any supergravity equations, just assuming the solutions
exist. As well as recovering some known results in the literature with ease, we also present new
supergravity results that match with holographically dual field theory computations. |
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