Supersymmetric \(AdS_{5}\) solutions of type IIB supergravity without D3 branes. (English) Zbl 1373.83117

Summary: We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space (\(AdS_{5}\)) with a five-dimensional Riemannian manifold \(M_{5}\), where the five-form flux vanishes, while all remaining fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. This completes the program of classifying all supersymmetric solutions of ten and eleven-dimensional supergravity with an \(AdS_{5}\) factor. We investigate the supersymmetry conditions in some special cases, and demonstrate how these are satisfied by a solution originally found in [N. T. Macpherson, C. Núnez, L. A. Pando Zayas, V. G. J. Rodgers and C. A. Whiting, “Type IIB supergravity solutions with \(AdS_{5}\) from abelian and non-abelian T dualities”, J. High Energy Phys. 2015, No. 2, Paper No. 40, 56 p. (2015; doi:10.1007/JHEP02(2015)040)], utilising the method of non-abelian T-duality.


83E50 Supergravity
83C15 Exact solutions to problems in general relativity and gravitational theory
81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
Full Text: DOI arXiv


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