The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy
Author(s)
Zan, Bernardo; Freedman, Daniel Z.; Pufu, Silviu S.![Thumbnail](/bitstream/handle/1721.1/143086/13130_2022_Article_18525.pdf.jpg?sequence=5&isAllowed=y)
Download13130_2022_Article_18525.pdf (725.6Kb)
Publisher with Creative Commons License
Publisher with Creative Commons License
Creative Commons Attribution
Terms of use
Metadata
Show full item recordAbstract
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.
Date issued
2022-06-08Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer Berlin Heidelberg
Citation
Journal of High Energy Physics. 2022 Jun 08;2022(6):45
Version: Final published version