Non-supersymmetric stringy attractors

Abstract

In this paper we examine the stability of non-supersymmetric attractors in type IIA supergravity compactified on a Calabi-Yau manifold, in the presence of sub-leading corrections to the N = 2 pre-potential. We study black hole configurations carrying D0 − D6 and D0 − D4 charges.We consider the O(1) corrections to the pre-potential given by the Euler number of the Calabi-Yau manifold. We argue that such corrections in general can not lift the zero modes for the D0 − D6 attractors. However, for the attractors carrying the D0− D4 charges, they affect the zero modes in the vector multiplet sector. We show that, in the presence of such O(1) corrections, the D0 − D4 attractors can either be stable or unstable depending on the geometry of the underlying Calabi-Yau manifold, and on the specific values of the charges they carry. *

Multiple single-centered attractors

“…(4.8) and (4.12) we find identical expression for the D0 − D4 solution. On the other hand, while the solution (4.8) gives a smooth D0 − D6 solution [7,12] in the limit p a , p s → 0, eqs. (4.12) becomes singular in this limit.…”

“…Even for the simplest case of D0 − D4 black holes the stringy correction introduces richer space of attractor solutions [10]. The stability conditions also change in an interesting way [11,12]. Adding D6 branes to this configuration will certainly enhance this already rich structure of non-supersymmetric attractors as we now have a new ansatz to explore the solutions.…”

“…A general group theoretic analysis has been carried out in [8,9] to understand the issue of stability and the existence of flat directions for non-supersymmetric attractors in more general class of N = 2 supergravity theories. It has been subsequently shown that, stringy corrections can make these flat directions either stable or unstable depending upon the charges of the corresponding black hole configurations [10][11][12][13][14][15].…”