Supersymmetric 3D anti-de Sitter space solutions of type IIB supergravity. (English) Zbl 1228.83112

Summary: For every positively curved Kähler-Einstein manifold in four dimensions, we construct an infinite family of supersymmetric solutions of type IIB supergravity. The solutions are warped products of \(\mathrm{AdS}_3\) with a compact seven-dimensional manifold and have nonvanishing five-form flux. Via the anti-de Sitter/conformal field theory correspondence, the solutions are dual to two-dimensional conformal field theories with \((0,2)\) supersymmetry. The corresponding central charges are rational numbers.


83E50 Supergravity
53C80 Applications of global differential geometry to the sciences
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
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