Hair in the back of a throat: non-supersymmetric multi-center solutions from Kähler manifolds

Bobev, Nikolay; Niehoff, Benjamin E.; Warner, Nicholas P.

doi:10.1007/jhep10(2011)149

Cited by 25 publications

(40 citation statements)

References 63 publications

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“…(A. 22) Because τ → −∞ as ρ → ρ + , finiteness of the solution at the horizon implies c 1 = c 2 =: c. Using (A.3) and the scaling in the vicinity of the outer horizon, we also see that…”

Section: A Exact Solutionsmentioning

confidence: 78%

Generalized hot attractors

Goldstein

Jejjala

Mashiyane

et al. 2019

J. High Energ. Phys.

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Non-extremal black holes are endowed with geometric invariants related to their horizon areas. We extend earlier work on hot attractor black holes to higher dimensions and add a scalar potential. In addition to the event and Cauchy horizons, when we complexify the radial coordinate, non-extremal black holes will generically have other horizons as well. We prove that the product of all of the horizon areas is independent of variations of the asymptotic moduli further generalizing the attractor mechanism for extremal black holes. In the presence of a scalar potential, as typically appears in gauged supergravity, we find that the product of horizon areas is not necessarily the geometric mean of the extremal area, however. We outline the derivation of horizon invariants for stationary backgrounds. arXiv:1811.04963v2 [hep-th]

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Section: A Exact Solutionsmentioning

confidence: 78%

Generalized hot attractors

Goldstein

Jejjala

Mashiyane

et al. 2019

J. High Energ. Phys.

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“…While there has been considerable work on supersymmetric microstate solutions, 1 the number of non-supersymmetric solutions known to date is small; see e.g. [19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Oscillating supertubes and neutral rotating black hole microstates

Mathur

Turton

2014

J. High Energ. Phys.

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The construction of neutral black hole microstates is an important problem, with implications for the information paradox. In this paper we conjecture a construction of non-supersymmetric supergravity solutions describing D-brane configurations which carry mass and angular momentum, but no other conserved charges. We first study a classical string solution which locally carries dipole winding and momentum charges in two compact directions, but globally carries no net winding or momentum charge. We investigate its backreaction in the D1-D5 duality frame, where this object becomes a supertube which locally carries oscillating dipole D1-D5 and NS1-NS5 charges, and again carries no net charge. In the limit of an infinite straight supertube, we find an exact supergravity solution describing this object. We conjecture that a similar construction may be carried out based on a class of two-charge non-supersymmetric D1-D5 solutions. These results are a step towards demonstrating how neutral black hole microstates may be constructed in string theory.

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“…Thus the solution satisfying Eq. (4.43) describes a scalar-flat Kähler manifold in Einstein-Maxwell theory whose general solutions with a U(1) isometry have been constructed in [40] (see also [41]). However, it seems to be difficult to write down Eq.…”

Section: Matrix Model and Quantum Gravitymentioning

confidence: 99%

Quantized Kähler Geometry and Quantum Gravity

Lee

Yang

2018

J. Korean Phys. Soc.

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It has been often observed that Kähler geometry is essentially a U(1) gauge theory whose field strength is identified with the Kähler form. However it has been pursued neither seriously nor deeply. We argue that this remarkable connection between the Kähler geometry and U(1) gauge theory is a missing corner in our understanding of quantum gravity. We show that the Kähler geometry can be described by a U(1) gauge theory on a symplectic manifold with a slight generalization. We derive a natural Poisson algebra associated with the Kähler geometry we have started with. The quantization of the underlying Poisson algebra leads to a noncommutative U(1) gauge theory which arguably describes a quantized Kähler geometry. The Hilbert space representation of quantized Kähler geometry eventually ends in a zero-dimensional matrix model. We then play with the zero-dimensional matrix model to examine how to recover our starting point-Kähler geometry-from the backgroundindependent formulation. The round-trip journey suggests many remarkable pictures for quantum gravity that will open a new perspective to resolve the notorious problems in theoretical physics such as the cosmological constant problem, hierarchy problem, dark energy, dark matter and cosmic inflation. We also discuss how time emerges to generate a Lorentzian spacetime in the context of emergent gravity.

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Hair in the back of a throat: non-supersymmetric multi-center solutions from Kähler manifolds

Cited by 25 publications

References 63 publications

Generalized hot attractors

Generalized hot attractors

Oscillating supertubes and neutral rotating black hole microstates

Quantized Kähler Geometry and Quantum Gravity

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