The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy
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Author(s)
Zan, Bernardo
Freedman, Daniel Z.
Pufu, Silviu S.
Date Issued
June 8, 2022
Publisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2022 Jun 08;2022(6):45
Version
Final published version
Abstract
Abstract
We study the mass-deformed sphere free energy of three-dimensional
N
$$ \mathcal{N} $$
= 2 superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of the four-dimensional
N
$$ \mathcal{N} $$
= 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP06(2022)045
