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arXiv 1302.6532hep-th
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c-极值化的超引力对偶

Supergravity dual of c-extremization

Parinya Karndumri, Eoin Ó Colgáin

摘要:

最近,一个普遍的原则,称为c-极值化,它确定了精确的R-对称性的二维SCFT与N =(0,2)超对称被确定。本文证明了超引力对偶对应于N = 2规范超引力T张量在三维空间的极值化。为了支持这一主张,我们证明了在三维框架中恢复了期望的SCFT的中心荷,该中心荷产生于黎曼曲面上四维N = 4 SYM的扭曲紧化,其引力对偶是五维U(1)^3规范超引力的约化。

英文摘要:

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.

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