Superconformal multi-black hole quantum mechanics

Michelson, Jeremy; Strominger, Andrew

doi:10.1088/1126-6708/1999/09/005

Cited by 115 publications

(214 citation statements)

References 25 publications

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“…It is convenient also to represent the answer by the following table 16 (9, 1), (6, 2), (5,5), (2,6), (1,9) 32 (10, 2), (7, 3), (6, 6), (3, 7), (2, 10) (4.6)…”

Section: Extended Supersymmetries and Real-valued Clifford Algebrasmentioning

confidence: 99%

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On the classification of N-extended supersymmetric quantum mechanical systems

Pashnev¹,

Toppan²

2001

Journal of Mathematical Physics

128

424

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In this paper some properties of the irreducible multiplets of representation for the N = (p, q) -extended supersymmetry in one dimension are discussed. Essentially two results are here presented. At first a peculiar property of the one dimension is exhibited, namely that any multiplet containing 2d (d bosonic and d fermionic) particles in M different spin states, is equivalent to a {d, d} multiplet of just 2 spin states (all bosons and all fermions being grouped in the same spin). Later, it is shown that the classification of all multiplets of this kind carrying an irreducible representation of the N -extended supersymmetry is in one-to-one correspondence with the classification of real-valued Clifford Γ-matrices of Weyl type. In particular, p + q is mapped into D, the space-time dimensionality, while 2d is determined to be the dimensionality of the corresponding Γ-matrices. The implications of these results to the theory of spinning particles are analyzed. *

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“…It is convenient also to represent the answer by the following table 16 (9, 1), (6, 2), (5,5), (2,6), (1,9) 32 (10, 2), (7, 3), (6, 6), (3, 7), (2, 10) (4.6)…”

Section: Extended Supersymmetries and Real-valued Clifford Algebrasmentioning

confidence: 99%

“…Supersymmetric and superconformal [1] (see also [2]) quantum mechanical models succeed in describing the low-energy effective dynamics, as well as the moduli space, of a certain class of black holes. Another scenario involving Supersymmetric Quantum Mechanics (SQM) concerns the light-cone quantization of supersymmetric theories [3].…”

Section: Introductionmentioning

confidence: 99%

On the classification of N-extended supersymmetric quantum mechanical systems

Pashnev¹,

Toppan²

2001

Journal of Mathematical Physics

128

424

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“…The superconformal properties of the moduli space (2.9) for small black hole separation are the same as those of graviphoton black holes investigated in [7].…”

Section: Black Holes In Four and Five Dimensionsmentioning

confidence: 54%

“…This can prove useful in understanding multi-black hole quantum mechanics using the suggestion of [50] adapted for black holes [51,52] and black hole moduli spaces [7,42,10].…”

Section: Discussionmentioning

confidence: 99%

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Moduli spaces for four- and five-dimensional black holes

Gutowski

Papadopoulos

2000

Phys. Rev. D

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We propose a universal expression for the moduli metric of a class of four-and five-dimensional black holes which preserve at least four supersymmetries. These include the black holes that are associated with various intersecting branes in ten and eleven dimensions, the electrically charged black holes of N=2 D=5 and N=2 D=4 supergravities with any number of vector multiplets, and dyonic black holes of N=2 D=4 supergravity. The moduli metric of electrically charged N=2 D=4 black holes coupled to any number of vector multiplets is explicitly computed. We also investigate the superconformal symmetries of the black hole moduli spaces for small black hole separations.

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Black Hole Entropy, Special Geometry and Strings

Mohaupt

2001

Fortschritte der Physik

183

251

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We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional N = 2 supergravity and in N = 2 compactifications of string theory and M-theory. Particular emphasis is put on the crucial role of higher curvature terms and of modifications of the area law in obtaining agreement between the macroscopic entropy, which is a geometric property of black hole solutions and the microscopic entropy, which is computed by state counting in Calabi-Yau compactifications of string or M-theory. We also discuss invariance properties of the entropy under stringy T-duality and S-duality transformations in N = 2, 4 compactifications in presence of higher curvature terms.In order to make the paper self-contained we review the laws of black hole mechanics in higher derivative gravity, the definition of entropy as a surface charge, the superconformal offshell description of N = 2 supergravity, special geometry, and N = 2 compactifications of heterotic and type II string theory and of M-theory.

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Superconformal multi-black hole quantum mechanics

Cited by 115 publications

References 25 publications

On the classification of N-extended supersymmetric quantum mechanical systems

On the classification of N-extended supersymmetric quantum mechanical systems

Moduli spaces for four- and five-dimensional black holes

Black Hole Entropy, Special Geometry and Strings

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