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From wrapped M-branes to Calabi-Yau black holes and strings

David Kastor
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Abstract

We study a class of D=11 BPS spacetimes that describe M-branes wrapping supersymmetric 2 and 4-cycles of Calabi-Yau 3-folds. We analyze the geometrical significance of the supersymmetry constraints and gauge field equations of motion for these spacetimes. We show that the dimensional reduction to D=5 yields known BPS black hole and black string solutions of D=5, N=2 supergravity. The usual ansatz for the dimensional reduction is valid only in the linearized regime of slowly varying moduli and small gauge field strengths. Our identification of the massless D=5 modes with D=11 quantities extends beyond this regime and should prove useful in constructing non-linear ansatze for Calabi-Yau dimensional reductions of supergravity theories.

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David Kastor. 2003-07-22. From wrapped M-branes to Calabi-Yau black holes and strings. https://doi.org/10.1088/1126-6708%2F2003%2F07%2F040

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