scholarly journals NON-UNIQUENESS, COUNTERROTATION, AND NEGATIVE HORIZON MASS OF EINSTEIN–MAXWELL–CHERN–SIMONS BLACK HOLES

2006 ◽  
Vol 21 (35) ◽  
pp. 2621-2635 ◽  
Author(s):  
JUTTA KUNZ ◽  
FRANCISCO NAVARRO-LÉRIDA
Keyword(s):  
Black Holes ◽  
Angular Momentum ◽  
Angular Velocity ◽  
Total Mass ◽  
Simons Theory ◽  
Rotational Instability ◽  
Stability And Instability ◽  
Rotating Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

Stationary black holes in five-dimensional Einstein–Maxwell–Chern–Simons theory possess surprising properties. When considering the Chern–Simons coefficient λ as a parameter, two critical values of λ appear: the supergravity value λ SG = 1, and the value λ = 2. At λ = 1, supersymmetric black holes with vanishing horizon angular velocity, but finite angular momentum exist. As λ increases beyond λ SG a rotational instability arises, and counterrotating black holes appear, whose horizon rotates in the opposite sense to the angular momentum. Thus supersymmetry is associated with the borderline between stability and instability. At λ = 2, rotating black holes with vanishing angular momentum emerge. Beyond λ = 2, black holes may possess a negative horizon mass, while their total mass is positive. Charged rotating black holes with vanishing gyromagnetic ratio appear, and black holes are no longer uniquely characterized by their global charges.

scholarly journals Radially excited rotating black holes in Einstein-Maxwell-Chern-Simons theory

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Jose Luis Blázquez-Salcedo ◽  
Jutta Kunz ◽  
Francisco Navarro-Lérida ◽  
Eugen Radu
Keyword(s):  
Black Holes ◽  
Simons Theory ◽  
Rotating Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals THE STRUCTURE OF ADS BLACK HOLES AND CHERN–SIMONS THEORY IN 2 + 1 DIMENSIONS

1999 ◽  
Vol 14 (04) ◽  
pp. 505-520 ◽  
Author(s):  
SHARMANTHIE FERNANDO ◽  
FREYDOON MANSOURI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Excited States ◽  
Simons Theory ◽  
De Sitter ◽  
Sitter Group ◽  
Ads Black Holes ◽  
Chern Simons ◽  
Chern Simons Theory

We study anti-de Sitter black holes in 2 + 1 dimensions in terms of Chern–Simons gauge theory of the anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all the relevant features of the black hole are accounted for. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the black hole.

scholarly journals Higher-derivative supergravity, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Nikolay Bobev ◽  
Anthony M. Charles ◽  
Dongmin Gang ◽  
Kiril Hristov ◽  
Valentin Reys
Keyword(s):  
Black Holes ◽  
Three Dimensional ◽  
Simons Theory ◽  
Partition Functions ◽  
Infinite Class ◽  
Gauge Groups ◽  
Higher Derivative ◽  
Hyperbolic Three Manifolds ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$ ℛ . Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-N expansion of supersymmetric partition functions for an infinite class of three-dimensional $$ \mathcal{N} $$ N = 2 SCFTs of class $$ \mathrm{\mathcal{R}} $$ ℛ . We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS4 black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.

scholarly journals The Conformal Spectrum of Non-Abelian Anyons

2018 ◽  
Vol 4 (4) ◽  
Author(s):  
Nima Doroud ◽  
David Tong ◽  
Carl Turner
Keyword(s):  
Angular Momentum ◽  
Conformal Invariance ◽  
Bound State ◽  
Harmonic Trap ◽  
Simons Theory ◽  
Chern Simons ◽  
Relativistic Matter ◽  
Chern Simons Theory

We study the spectrum of multiple non-Abelian anyons in a harmonic trap. The system is described by Chern-Simons theory, coupled to either bosonic or fermionic non-relativistic matter, and has an SO(2,1)SO(2,1) conformal invariance. We describe a number of special properties of the spectrum, focussing on a class of protected states whose energies are dictated by their angular momentum. We show that the angular momentum of a bound state of non-Abelian anyons is determined by the quadratic Casimirs of their constituents.

BOGOMOL’NYI EQUATIONS FOR NON-ABELIAN CHERN-SIMONS-HIGGS THEORIES

1991 ◽  
Vol 06 (06) ◽  
pp. 479-486 ◽  
Author(s):  
L.F. CUGLIANDOLO ◽  
G. LOZANO ◽  
M.V. MANÍAS ◽  
F.A. SCHAPOSNIK
Keyword(s):  
Angular Momentum ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Simons Theory ◽  
Higgs Potential ◽  
Topological Sector ◽  
Straightforward Generalization ◽  
Vortex Solutions ◽  
Chern Simons ◽  
Chern Simons Theory

We study the non-abelian Chern-Simons theory with spontaneous symmetry breaking. We find Bogomol’nyi type or self-dual equations for a particular choice of the Higgs potential; the corresponding vortex solutions for G=SU(2) carry both quantized electric charge Q= −en/2 and angular momentum J=nm2/4 (e is the fundamental charge, n is an integer associated with the Chern-Simons coefficient, and m is another integer which labels the topological sector). We propose a straightforward generalization to the SU(N) case.

scholarly journals Extremal rotating black holes in Einstein–Maxwell–Chern–Simons theory: Radially excited solutions and nonuniqueness

2015 ◽  
Vol 24 (09) ◽  
pp. 1542016
Author(s):  
Jose Luis Blázquez-Salcedo
Keyword(s):  
Black Holes ◽  
Coupling Parameter ◽  
Global Solutions ◽  
Extremal Solutions ◽  
Simons Theory ◽  
Node Number ◽  
Domain Of Existence ◽  
Spherical Topology ◽  
Chern Simons ◽  
Chern Simons Theory

We study five-dimensional black holes in Einstein–Maxwell–Chern–Simons theory with free Chern–Simons (CS) coupling parameter. We consider an event horizon with spherical topology, and both angular momenta of equal magnitude. In particular, we study extremal black holes, which can be used to obtain the boundary of the domain of existence. Above a critical value of the CS coupling constant we find nonstatic extremal solutions with vanishing angular momentum. These solutions form a sequence which can be labeled by the node number of the magnetic U(1) potential or the inertial dragging. As the node number increases, their mass converges to the mass of the extremal Reissner–Nordström solution. The near-horizon geometry of the solutions of this sequence is the same. In general not all near-horizon solutions are found as global solutions, and we show nonuniqueness between extremal solutions and nonextremal ones.

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