2013/02/28 by Parinya Karndumri, Eoin Ó Colgáin · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Conformal map #Cosmology and Gravitation Theories #Field (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Pure mathematics #Supergravity #Supersymmetry #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1103/physrevd.87.101902
published as Phys. Rev. D 87 (2013) 101902(R) · 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
openalex publication_date 2013/05/10 · arxiv created 2015/01/15 · arxiv updated 2015/01/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.