Effects of brane-flux transition on black holes in string theory

Abstract

Extremal N=2 black holes in four dimensions can be described by an ensemble of D3-branes wrapped on internal supersymmetric three-cycles of Calabi-Yau threefolds on which type IIB superstring theory is compactified. We construct a similar configuration, with extra RR and NS-NS three-form fluxes being turned on. We can avoid the Freed-Witten anomaly on the D3-branes by enforcing the pullback of these extra fluxes to the D3-branes to vanish at the classical level. In the setup the D3-brane charge is not conserved since it is classified as a trivial class in twisted K-theory. Consequently, the D3-branes may disappear by encountering an instantonic D5-brane localized in time. We discuss what happens on the black hole described by such disappearing D3-branes, relying mainly on topological arguments. Especially, we argue that another RR three-form flux will be left as a lump of remnant which is localized in the uncompactified four-dimensional space-time and that it may carry the same amount of degrees of freedom to describe a black hole, in cooperation with the original NS-NS flux, after this transition of the D3-branes.

Version appearing in JHEP, minor corrections, reference added, some points clarified (v3); References added, extra RR flux turned on in the initial setup to assure N=2 supersymmtry, explanations added, conclusions unchanged (v2); 18pages, 1 figure (v1)

References in corpus (8)

• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Non-supersymmetric Black Holes and Topological Strings
• Extremal non-BPS black holes and entropy extremization
• What Does(n't) K-theory Classify?
• Flux vacua as supersymmetric attractors
• Transitions Between Flux Vacua
• Stability of flux vacua in the presence of charged black holes
• Freed-Witten anomaly in general flux compactification

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