Work

Extremal black hole with a unique ground state

Year: 2025
Type: article
Abstract: Recent computations in gravity suggest that nonsupersymmetric extremal black holes lack any sizeable ground state degeneracy. We confirm this for a D-brane description of nonsupersymmetric four-charge extremal black holes in N = 8 string theory. The microscopic description comprises four stacks of D-branes wrapping various cycles of the internal six torus and intersecting at a point. The orientations of the stacks are such that supersymmetry is broken completely. We construct the low energy worldline Lagrangian for the brane system, which is seen to have 32 Goldstinos and 28 Goldstones. The Hamiltonian has a unique ground state, which carries a nonzero energy implying the absence of any truly extremal state. Our arguments rely on symmetry and hence should hold in the supergravity regime as well.
Author: Swapnamay Mondal
Language: English
Open Access status: hybrid
Award: G349107222
OpenAlex ID: W4417277257
FWCI: 0.473
Cites: 38
Cited by: 1
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