Abstract
We investigate the space of BPS states in type IIA string theory on a T6 wrapped by one D6 brane and three D2 branes wrapping three disjoint 2-tori. This system of branes has 12 ground states. We show that these 12 states are all recovered as Coulomb branch BPS multicenter bound states, in which each center preserves 16 supercharges. Moreover, we show that these multicenter solutions can only exist with zero angular momentum, supporting the conjecture that all black hole microstates have zero angular momentum. For large charges, they might describe “near-horizon limit” of fuzzballs.
Highlights
One of the greatest successes of string theory has been to reproduce microscopically the Bekenstein-Hawking entropy of several classes of supersymmetric black holes [1]
The second possible scenario is that the D-brane charges gather in several centers forming a moleculelike BPS bound states described by quiver quantum mechanics
We have investigated the space of states of the following D-brane configuration (QD6, Q1D4, Q2D4, Q3D4 ; Q1D2, Q2D2, Q3D2, QD0) = (QD6, 0, 0, 0; 1, 1, 1, 0), with QD6 = 1 or 2
Summary
One of the greatest successes of string theory has been to reproduce microscopically the Bekenstein-Hawking entropy of several classes of supersymmetric black holes [1]. Despite this subtlety and the fact that we are really working in a regime where gravity can not be trusted, finding exactly eSBH number of such microstate geometries, does inspire curiosity about the possibility that they correspond to “near-horizon limit” of some fuzzball geometries It has been argued in [20] that, in string theory, the ground states of the CFT1 dual to AdS2 must break conformal invariance. This argument eliminates the possibility that the single-center asymptotically AdS2 solution (which has an infinite throat and preserves conformal invariance in the IR) is dual to any ground states of a non-trivial CFT1 Our work confirms this expectation: from a microscopic counting the number of ground states of the CFT1 corresponding to our D-brane system is 12.
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