The N $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy
Abstract We study the mass-deformed sphere free energy of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal fi...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2022
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| Online Access: | https://hdl.handle.net/1721.1/143086 |
| Summary: | 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. |
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