N=4 Superconformal Mechanics and Black Holes

Abstract

The motion of a particle near the Reissner-Nordstrom 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 constructed system possesses a special Kahler geometry in the scalar sector of the vector multiplets as well as an N=4 superconformal symmetry which is provided by a proper coupling to a dilaton superfield. The superconformal symmetry completely fixes the resulting action. We explicitly demonstrate that the electric and magnetic charges, presenting 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 non-zero constant values. We explicitly write down the corresponding modified black hole potential.

1+11 pages, no figures. v2: two references added, minor modifications in conclusion

References in corpus (23)

• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Holes and Critical Points in Moduli Space
• Universality of Sypersymmetric Attractors
• Black Holes and Superconformal Mechanics
• Dictionary on Lie Superalgebras
• New Attractors
• Microscopic Entropy of N=2 Extremal Black Holes
• Superconformal mechanics, black holes, and non-linear realizations
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• AdS/CFT Equivalence Transformation
• ABC of N=8, d=1 supermultiplets
• AdS_2/CFT_1, Canonical Transformations and Superconformal Mechanics
• Harmonic superpotentials and symmetries in gauge theories with eight supercharges
• A Non-Renormalization Theorem for the d=1, N=8 Vector Multiplet
• N=4 Supersymmetric Multidimensional Quantum Mechanics, Partial SUSY Breaking and Superconformal Quantum Mechanics
• Conformal and Superconformal Mechanics Revisited
• Particle dynamics on AdS_2 x S^2 background with two-form flux
• N=8 supersymmetric mechanics on special Kähler manifolds
• Tools for supersymmetry
• Two-dimensional N=8 supersymmetric mechanics in superspace
• 2k-dimensional N=8 supersymmetric quantum mechanics

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• D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics
• New realizations of the supergroup D(2,1;α) in N=4 superconformal mechanics
• Superconformal Quantum Mechanics from M2-branes
• Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into $\ell$- and $\tilde{\ell }$-Equivalence Classes
• Dual multiplets in N=4 superconformal mechanics