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AdS5 Solutions of Type IIB Supergravity and Generalized Complex Geometry

Gabella, Maxime ; Gauntlett, Jerome P. ; Palti, Eran ; Sparks, James ; Waldram, Daniel

Communications in mathematical physics, 2010, Vol.299 (2), p.365-408 [Periódico revisado por pares]

Berlin/Heidelberg: Springer-Verlag

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  • Título:
    AdS5 Solutions of Type IIB Supergravity and Generalized Complex Geometry
  • Autor: Gabella, Maxime ; Gauntlett, Jerome P. ; Palti, Eran ; Sparks, James ; Waldram, Daniel
  • Assuntos: Classical and Quantum Gravitation ; Complex Systems ; Mathematical and Computational Physics ; Mathematical Physics ; Physics ; Physics and Astronomy ; Quantum Physics ; Relativity Theory ; Theoretical
  • É parte de: Communications in mathematical physics, 2010, Vol.299 (2), p.365-408
  • Descrição: We use the formalism of generalized geometry to study the generic supersymmetric AdS 5 solutions of type IIB supergravity that are dual to superconformal field theories (SCFTs) in d  = 4. Such solutions have an associated six-dimensional generalized complex cone geometry that is an extension of Calabi-Yau cone geometry. We identify generalized vector fields dual to the dilatation and R -symmetry of the dual SCFT and show that they are generalized holomorphic on the cone. We carry out a generalized reduction of the cone to a transverse four-dimensional space and show that this is also a generalized complex geometry, which is an extension of Kähler-Einstein geometry. Remarkably, provided the five-form flux is non-vanishing, the cone is symplectic. The symplectic structure can be used to obtain Duistermaat-Heckman type integrals for the central charge of the dual SCFT and the conformal dimensions of operators dual to BPS wrapped D3-branes. We illustrate these results using the Pilch-Warner solution.
  • Editor: Berlin/Heidelberg: Springer-Verlag
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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