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

3 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

Access to Document

10.1007/JHEP06(2022)045

Cite this

@article{2d0f54e1d9c6400fba51035933fab8f1,

title = "The N = 2 prepotential and the sphere free energy",

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.",

keywords = "AdS-CFT Correspondence, Extended Supersymmetry, Renormalization Group, Supergravity Models",

author = "Bernardo Zan and Freedman, \{Daniel Z.\} and Pufu, \{Silviu S.\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = jun,

doi = "10.1007/JHEP06(2022)045",

language = "English (US)",

volume = "2022",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "6",

}

TY - JOUR

T1 - The N = 2 prepotential and the sphere free energy

AU - Zan, Bernardo

AU - Freedman, Daniel Z.

AU - Pufu, Silviu S.

PY - 2022/6

Y1 - 2022/6

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

UR - https://www.scopus.com/pages/publications/85131733740

UR - https://www.scopus.com/pages/publications/85131733740#tab=citedBy

U2 - 10.1007/JHEP06(2022)045

DO - 10.1007/JHEP06(2022)045

M3 - Article

AN - SCOPUS:85131733740

SN - 1126-6708

VL - 2022

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

Access to Document

Other files and links

Fingerprint

Cite this