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

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.

13+1 pages, references added

References in corpus (2)

• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• That's a wrap!

Cited by in corpus (8)

• G-Structures, Fluxes and Calibrations in M-Theory
• Five dimensional 2-branes from special Lagrangian wrapped M5-branes
• Wrapped M5-branes leading to five dimensional 2-branes
• The many symmetries of Calabi-Yau compactifications
• Symplectic covariance of the N=2 hypermultiplets
• Calibrations, Torsion Classes and Wrapped M-Branes
• Five dimensional 2-branes and the universal hypermultiplet
• Ten and eleven dimensional perspectives on N=2 black holes