Half-flat Quantum Hair

Abstract

By wrapping D3-branes over 3-cycles on a half-flat manifold we construct an effective supersymmetric black hole in the N=2 low-energy theory in four-dimensions. Specifically we find that the torsion cycles present in a half-flat compactification, corresponding to the mirror symmetric image of electric NS flux on a Calabi-Yau manifold, manifest in the half-flat black hole as quantum hair. We compute the electric and magnetic charges related to the quantum hair, and also the mass contribution to the effective black hole. We find that by wrapping a number of D3-branes equal to the order of the discrete group associated to the torsional part of the half-flat homology, the effective charge and mass terms vanishes. We compute the variation of entropy and the corresponding temperature associated with the lost of quantum hair. We also comment on the equivalence between canceling Freed-Witten anomaly and the assumption of self-duality for the 5-form field strength. Finally from a K-theoretical perspective, we compute the presence of discrete RR charge of D-branes wrapping torsional cycles in a half-flat manifold.

23 pages, no figures. (v2) Typos corrected, references added

References in corpus (12)

• Symmetries and Strings in Field Theory and Gravity
• Progress in D-brane model building
• Zp charged branes in flux compactifications
• D6-branes and torsion
• BPS black holes in N=2 D=4 gauged supergravities
• Black Hole Attractors and Pure Spinors
• What Does(n't) K-theory Classify?
• Quantum hair and the string-black hole correspondence
• Discrete gauge symmetries from (closed string) tachyon condensation
• Stability of flux vacua in the presence of charged black holes
• Quantum black holes in Type-IIA String Theory
• Non-perturbative black holes in Type-IIA String Theory vs. the No-Hair conjecture