Abstract
We analyze the low temperature structure of a supersymmetric quiver quantum mechanics with randomized superpotential coefficients, treating them as quenched disorder. These theories describe features of the low energy dynamics of wrapped branes, which in large number backreact into extremal black holes. We show that the low temperature theory, in the limit of a large number of bifundamentals, exhibits a time reparametrization symmetry as well as a specific heat linear in the temperature. Both these features resemble the behavior of black hole horizons in the zero temperature limit. We demonstrate similarities between the low temperature physics of the random quiver model and a theory of large N free fermions with random masses.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. Wigner, Random Matrices in Physics, SIAM Rev. 9 (1967) 1.
M.R. Douglas and G.W. Moore, D-branes, quivers and ALE instantons, hep-th/9603167 [INSPIRE].
F. Denef, Quantum quivers and Hall/hole halos, JHEP 10 (2002) 023 [hep-th/0206072] [INSPIRE].
F. Denef and G.W. Moore, Split states, entropy enigmas, holes and halos, JHEP 11 (2011) 129 [hep-th/0702146] [INSPIRE].
S.D. Majumdar, A Class of Exact Solutions of Einstein’s Field Equations, Phys. Rev. 72 (1947) 390 [INSPIRE].
A. Papapetrou, A Static solution of the equations of the gravitational field for an arbitrary charge distribution, Proc. Roy. Irish Acad. A 51 (1947) 191 [INSPIRE].
F. Denef, Supergravity flows and D-brane stability, JHEP 08 (2000) 050 [hep-th/0005049] [INSPIRE].
D. Anninos, T. Anous, J. Barandes, F. Denef and B. Gaasbeek, Hot Halos and Galactic Glasses, JHEP 01 (2012) 003 [arXiv:1108.5821] [INSPIRE].
D. Anninos, T. Anous, F. Denef and L. Peeters, Holographic Vitrification, JHEP 04 (2015) 027 [arXiv:1309.0146] [INSPIRE].
D. Anninos, T. Anous, F. Denef, G. Konstantinidis and E. Shaghoulian, Supergoop Dynamics, JHEP 03 (2013) 081 [arXiv:1205.1060] [INSPIRE].
D. Anninos, T. Anous, P. de Lange and G. Konstantinidis, Conformal quivers and melting molecules, JHEP 03 (2015) 066 [arXiv:1310.7929] [INSPIRE].
R.C. Ferrell and D.M. Eardley, Slow motion scattering and coalescence of maximally charged black holes, Phys. Rev. Lett. 59 (1987) 1617 [INSPIRE].
R. Britto-Pacumio, J. Michelson, A. Strominger and A. Volovich, Lectures on Superconformal Quantum Mechanics and Multi-Black Hole Moduli Spaces, NATO Sci. Ser. C 564 (2001) 235 [INSPIRE].
A. Strominger, AdS 2 quantum gravity and string theory, JHEP 01 (1999) 007 [hep-th/9809027] [INSPIRE].
S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg magnet, Phys. Rev. Lett. 70 (1993) 3339 [cond-mat/9212030] [INSPIRE].
O. Parcollet and A. Georges, Non-Fermi-liquid regime of a doped Mott insulator, Phys. Rev. B 59 (1999) 5341 [cond-mat/9806119].
A. Kitaev, A simple model of quantum holography, in proceedings of KITP Program: Entanglement in Strongly-Correlated Quantum Matter, University of California, Santa Barbara, California, U.S.A., April 6-July 2 2015 http://online.kitp.ucsb.edu/online/entangled15/.
S. Sachdev, Bekenstein-Hawking Entropy and Strange Metals, Phys. Rev. X 5 (2015) 041025 [arXiv:1506.05111] [INSPIRE].
J. Polchinski and V. Rosenhaus, The Spectrum in the Sachdev-Ye-Kitaev Model, JHEP 04 (2016) 001 [arXiv:1601.06768] [INSPIRE].
J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94 (2016) 106002 [arXiv:1604.07818] [INSPIRE].
J. Manschot, B. Pioline and A. Sen, From Black Holes to Quivers, JHEP 11 (2012) 023 [arXiv:1207.2230] [INSPIRE].
I. Bena, M. Berkooz, J. de Boer, S. El-Showk and D. Van den Bleeken, Scaling BPS Solutions and pure-Higgs States, JHEP 11 (2012) 171 [arXiv:1205.5023] [INSPIRE].
S.-J. Lee, Z.-L. Wang and P. Yi, Quiver Invariants from Intrinsic Higgs States, JHEP 07 (2012) 169 [arXiv:1205.6511] [INSPIRE].
S.R. Das and A. Jevicki, Large-N collective fields and holography, Phys. Rev. D 68 (2003) 044011 [hep-th/0304093] [INSPIRE].
A. Bray and M.A. Moore, Replica theory of quantum spin glasses, J. Phys. C 13 (1980) L655.
L.F. Cugliandolo, D.R. Grempel and C.A. da Silva Santos, Imaginary-time replica formalism study of a quantum spherical p-spin-glass model, Phys. Rev. B 64 (2001) 014403 [cond-mat/0012222].
M. Mezard, G. Parisi and M. Virasoro, Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications, World Scientific (1986) [ISBN: 978-9971-5-0116-7].
A. Bzowski, P. McFadden and K. Skenderis, Implications of conformal invariance in momentum space, JHEP 03 (2014) 111 [arXiv:1304.7760] [INSPIRE].
E. Brézin, C. Itzykson, G. Parisi and J.B. Zuber, Planar Diagrams, Commun. Math. Phys. 59 (1978) 35 [INSPIRE].
S. Fubini and E. Rabinovici, Superconformal Quantum Mechanics, Nucl. Phys. B 245 (1984) 17 [INSPIRE].
M. Berkooz and H.L. Verlinde, Matrix theory, AdS/CFT and Higgs-Coulomb equivalence, JHEP 11 (1999) 037 [hep-th/9907100] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1603.00453
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Anninos, D., Anous, T. & Denef, F. Disordered quivers and cold horizons. J. High Energ. Phys. 2016, 71 (2016). https://doi.org/10.1007/JHEP12(2016)071
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2016)071