Supergravity dual of $c$-extremization - INSPIRE

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Supergravity dual of $c$ -extremization

Parinya Karndumri
(
- Chulalongkorn U. and
- ThEP, Bangkok
)
,
Eoin O Colgain
(
- Oviedo U.
)

Feb 26, 2013

5 pages

Published in:

Phys.Rev.D 87 (2013) 10, 101902

Published: May 10, 2013

e-Print:

1302.6532 [hep-th]

DOI:

10.1103/PhysRevD.87.101902

Report number:

FPAUO-13-03

View in:

ADS Abstract Service

reference search43 citations

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Abstract: (APS)

Recently, a general principle, called c-extremization, which determines the exact R symmetry of two-dimensional conformal field theories with N=(0,2) supersymmetry, was identified. In this work we show that the supergravity dual corresponds to the extremization of the T tensor of N=2 gauged supergravity in three dimensions. To support this claim, we demonstrate that the expected central charge of conformal field theories arising from twisted compactifications of four-dimensional N=4 Super-Yang-Mills on Riemann surfaces, whose gravity dual is a reduction of five-dimensional U(1)3 gauged supergravity, is recovered in the three-dimensional framework.

Note:

4 pages, v2, longer abstract, some factors corrected, typos corrected, v3 expanded introduction, published in PRD, v4 repeated summation in equation (23) removed and expression corrected

11.25.Tq
11.30.Pb
supergravity: duality
dimension: 2
dimension: 5
dimension: 4
dimension: 3
compactification
Riemann surface
central charge

References(36)

Figures(0)

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