The free energy of N=2 supersymmetric AdS(4) solutions of M-theory

Maxime Gabella; Dario Martelli; Achilleas Passias; James Sparks

doi:10.1007/JHEP10(2011)039

The free energy of N=2 supersymmetric AdS(4) solutions of M-theory

Maxime Gabella^*, Dario Martelli, Achilleas Passias, James Sparks

^*Corresponding author for this work

University of Oxford

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

16 Citations (Scopus)

Abstract

We show that general N = 2 supersymmetric AdS(4) solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconforrnal field theory on S-3 and the scaling dimensions of operators dual to supersyrnmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact volumes. In particular, this leads to topological and localization formulae for the coefficient Of N-3/2 in the free energy of such solutions.

Original language	English
Article number	039
Number of pages	15
Journal	Journal of High Energy Physics
Volume	2011
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2011)039
Publication status	Published - Oct 2011

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10.1007/JHEP10(2011)039

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title = "The free energy of N=2 supersymmetric AdS(4) solutions of M-theory",

abstract = "We show that general N = 2 supersymmetric AdS(4) solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconforrnal field theory on S-3 and the scaling dimensions of operators dual to supersyrnmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact volumes. In particular, this leads to topological and localization formulae for the coefficient Of N-3/2 in the free energy of such solutions.",

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AU - Gabella, Maxime

AU - Martelli, Dario

AU - Passias, Achilleas

AU - Sparks, James

PY - 2011/10

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N2 - We show that general N = 2 supersymmetric AdS(4) solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconforrnal field theory on S-3 and the scaling dimensions of operators dual to supersyrnmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact volumes. In particular, this leads to topological and localization formulae for the coefficient Of N-3/2 in the free energy of such solutions.

AB - We show that general N = 2 supersymmetric AdS(4) solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconforrnal field theory on S-3 and the scaling dimensions of operators dual to supersyrnmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact volumes. In particular, this leads to topological and localization formulae for the coefficient Of N-3/2 in the free energy of such solutions.

U2 - 10.1007/JHEP10(2011)039

DO - 10.1007/JHEP10(2011)039

M3 - Article

SN - 1126-6708

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 039

ER -

The free energy of N=2 supersymmetric AdS(4) solutions of M-theory

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