Supergravity dual of c-extremization
Abstract
Recently a general principle, called c-extremization, which determines the exact R-symmetry of two-dimensional SCFTs with N = (0,2) supersymmetry was identified. In this note 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 SCFTs arising from twisted compactifications of four-dimensional N = 4 SYM on Riemann surfaces, whose gravity dual is a reduction of five-dimensional U(1)^3 gauged supergravity, is recovered in the three-dimensional framework.
Cite
@article{arxiv.1302.6532,
title = {Supergravity dual of c-extremization},
author = {Parinya Karndumri and Eoin Ó Colgáin},
journal= {arXiv preprint arXiv:1302.6532},
year = {2015}
}
Comments
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