The N = 2 prepotential and the sphere free energy

Bernardo Zan; Daniel Z. Freedman; Silviu S. Pufu

doi:10.1007/JHEP06(2022)045

The N = 2 prepotential and the sphere free energy

Bernardo Zan, Daniel Z. Freedman, Silviu S. Pufu

Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study the mass-deformed sphere free energy of three-dimensional 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 = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.

Original language	English (US)
Article number	45
Journal	Journal of High Energy Physics
Volume	2022
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2022)045
State	Published - Jun 2022

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

AdS-CFT Correspondence
Extended Supersymmetry
Renormalization Group
Supergravity Models

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10.1007/JHEP06(2022)045

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AU - Freedman, Daniel Z.

AU - Pufu, Silviu S.

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N2 - We study the mass-deformed sphere free energy of three-dimensional 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 = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.

AB - We study the mass-deformed sphere free energy of three-dimensional 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 = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.

KW - AdS-CFT Correspondence

KW - Extended Supersymmetry

KW - Renormalization Group

KW - Supergravity Models

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 45

ER -

The N = 2 prepotential and the sphere free energy

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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