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Twisted D3-brane and M5-brane compactifications from multi-charge spindles. (English) Zbl 1468.81102

Summary: We construct families of supersymmetric \( \mathrm{AdS}_3 \times Y_7\) and \( \mathrm{AdS}_3 \times Y_8\) solutions to type IIB string theory and M-theory, respectively. Here \(Y_7\) is an \(S^5\) fibration over \(\Sigma \), while \(Y_8\) is an \(S^4\) fibration over \(\Sigma_g \times \Sigma \), where \(\Sigma_g\) is a Riemann surface of genus \( g > 1 \) and \(\Sigma\) is a two-dimensional orbifold known as a spindle. We interpret the solutions as near-horizon limits of \(N\) D3-branes wrapped on \(\Sigma\) and \(N\) M5-branes wrapped on \(\Sigma_g \times \Sigma \), respectively. These are holographically dual to \(d = 2\), \( (0, 2)\) SCFTs, and we show that the central charge and superconformal R-symmetry of the gravity solutions agree with dual field theory calculations.

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T33 Dimensional compactification in quantum field theory
53Z05 Applications of differential geometry to physics
83E05 Geometrodynamics and the holographic principle
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References:

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