skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Small Black Holes and Superconformal Quantum Mechanics

Abstract

Recently, Gaiotto, Strominger and Yin have proposed a holographic representation of the microstates of certain N = 2 black holes as chiral primaries of a superconformal quantum mechanics living on D0-branes in the attractor geometry. We show that their proposal can be successfully applied to 'small' black holes which are dual to Dabholkar-Harvey states and have vanishing horizon area in the leading supergravity approximation.

Authors:
 [1]
  1. Korea Institute for Advanced Study, Seoul (Korea, Republic of)
Publication Date:
OSTI Identifier:
20729202
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 805; Journal Issue: 1; Conference: PASCOS 2005: 11. international symposium on particles, strings, and cosmology, Gyeongju (Korea, Republic of), 30 May - 4 Jun 2005; Other Information: DOI: 10.1063/1.2149741; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ATTRACTORS; BLACK HOLES; CHIRALITY; CONFORMAL INVARIANCE; GEOMETRY; MEMBRANES; QUANTUM FIELD THEORY; QUANTUM MECHANICS; SUPERGRAVITY

Citation Formats

Raeymaekers, Joris. Small Black Holes and Superconformal Quantum Mechanics. United States: N. p., 2005. Web. doi:10.1063/1.2149741.
Raeymaekers, Joris. Small Black Holes and Superconformal Quantum Mechanics. United States. doi:10.1063/1.2149741.
Raeymaekers, Joris. Fri . "Small Black Holes and Superconformal Quantum Mechanics". United States. doi:10.1063/1.2149741.
@article{osti_20729202,
title = {Small Black Holes and Superconformal Quantum Mechanics},
author = {Raeymaekers, Joris},
abstractNote = {Recently, Gaiotto, Strominger and Yin have proposed a holographic representation of the microstates of certain N = 2 black holes as chiral primaries of a superconformal quantum mechanics living on D0-branes in the attractor geometry. We show that their proposal can be successfully applied to 'small' black holes which are dual to Dabholkar-Harvey states and have vanishing horizon area in the leading supergravity approximation.},
doi = {10.1063/1.2149741},
journal = {AIP Conference Proceedings},
number = 1,
volume = 805,
place = {United States},
year = {Fri Dec 02 00:00:00 EST 2005},
month = {Fri Dec 02 00:00:00 EST 2005}
}
  • The motion of a particle near the Reissner-Nordstroem black hole horizon is described by conformal mechanics. In this paper we present an extended one-dimensional analysis of the N=4 superconformal mechanics coupled to n copies of N=8, d=1 vector supermultiplets. The scalar manifold of the vector multiplet sector of the constructed system possesses N=8, d=1 supersymmetry and, therefore, is of special Kaehler type. Coupling the vector multiplets to a dilaton superfield makes the theory invariant under N=4 superconformal symmetry, thus reducing the number of supersymmetries under which the system is invariant to N=4. The superconformal symmetry completely fixes the resulting action.more » We show that the theory has exactly the same field content as that of N=2 D=4 Einstein action coupled to Maxwell fields and, moreover, with the same expression for the effective black hole potential. We explicitly demonstrate that the electric and magnetic charges, present in the effective black hole action, appear as a result of resolving constraints on the auxiliary components of the vector supermultiplets. We present the component action, supercharges, and Hamiltonian with all fermionic terms included. One of the possible ways to generalize the black hole potential is to consider a modified version of the N=4 superconformal multiplet where its auxiliary components acquire nonzero constant values. For this case we write down explicitly the corresponding modified black hole potential.« less
  • Black holes are described as being able to emit particles from the creation of pairs of quantum mechanical virtual particles of which one falls into the black hole while the other escapes to infinity. Quantum mechanical arguments are used to show that the emitted particles have a thermal spectrum corresponding to a temperature that increases rapidly as the mass of the black hole decreases. (GHT)
  • We describe the observed light-baryon spectrum by extending superconformal quantum mechanics to the light front and its embedding in AdS space. This procedure uniquely determines the confinement potential for arbitrary half-integer spin. To this end, we show that fermionic wave equations in AdS space are dual to light-front supersymmetric quantum-mechanical bound-state equations in physical space-time. The specific breaking of conformal invariance explains hadronic properties common to light mesons and baryons, such as the observed mass pattern in the radial and orbital excitations, from the spectrum generating algebra. Lastly, the holographic embedding in AdS also explains distinctive and systematic features, suchmore » as the spin-J degeneracy for states with the same orbital angular momentum, observed in the light-baryon spectrum.« less
  • Cited by 40
  • At critical values of the scaling dimension {lambda}, supermultiplets of the global N-extended one-dimensional supersymmetry algebra induce D-module representations of finite superconformal algebras (the latters being identified in terms of the global supermultiplet and its critical scaling dimension). For N=4,8 and global supermultiplets (k,N,N-k), the exceptional superalgebras D(2, 1;{alpha}) are recovered for N=4, with a relation between {alpha} and the scaling dimension given by {alpha}= (2 -k){lambda}. For N=8 and k{ne} 4 all four N=8 finite superconformal algebras are recovered, at the critical values {lambda}{sub k}=(1/k-4), with the following identifications: D(4, 1) for k= 0, 8, F(4) for k= 1,more » 7, A(3, 1) for k= 2, 6 and D(2, 2) for k= 3, 5. The N=7 global supermultiplet (1, 7, 7, 1) induces, at {lambda}=-(1/4), a D-module representation of the exceptional superalgebra G(3). D-module representations are applicable to the construction of superconformal mechanics in a Lagrangian setting. The isomorphism of the D(2, 1;{alpha}) algebras under an S{sub 3} group action on {alpha}, coupled with the relation between {alpha} and the scaling dimension {lambda}, induces non-trivial constraints on the admissible models of N=4 superconformal mechanics. The existence of new superconformal models is pointed out. For example, coupled (1, 4, 3) and (3, 4, 1) supermultiplets generate an N=4 superconformal mechanics if {lambda} is related to the golden ratio. The relation between classical versus quantum D-module representations is presented.« less