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Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain…

Strongly Correlated Electrons · Physics 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz

We perform a deformation quantization of the classical isotropic rigid rotator. The resulting quantum system is not invariant under the usual $SU(2)\times SU(2)$ chiral symmetry, but instead $SU_{q^{-1}}(2) \times SU_q(2)$.

High Energy Physics - Theory · Physics 2015-06-26 A. Stern , I. Yakushin

We study the phase diagram and the quantum phase transitions of a site-diluted two-dimensional O(3) quantum rotor model by means of large-scale Monte-Carlo simulations. This system has two quantum phase transitions, a generic one for small…

Strongly Correlated Electrons · Physics 2007-05-23 Thomas Vojta , Rastko Sknepnek

In arXiv:1707.02197, the authors considered the Sachdev-Ye-Kitaev model with quadratic perturbation (also known as mass-deformed SYK), and claimed that the quantum Lyapunov exponent would vanish in the regime of low temperature and small…

Statistical Mechanics · Physics 2021-03-15 Jaewon Kim , Xiangyu Cao

We construct a SU(2) connection formulation of Kerr isolated horizons. As in the non-rotating case, the model is based on a SU(2) Chern-Simons theory describing the degrees of freedom on the horizon. The presence of a non-vanishing angular…

General Relativity and Quantum Cosmology · Physics 2012-12-21 Ernesto Frodden , Alejandro Perez , Daniele Pranzetti , Christian Roeken

Quantum topology categorizes physical systems in integer invariants, which are robust to some deformations and certain types of disorder. A prime example is the Su-Schrieffer-Heeger (SSH) model, which has two distinct topological phases,…

Disordered Systems and Neural Networks · Physics 2026-01-01 Michael Hilke

We derive and study distorted, five-dimensional, electrically charged, non-extremal black holes on the example of a static and "axisymmetric" black hole distorted by external, electrically neutral matter.The solution satisfies…

General Relativity and Quantum Cosmology · Physics 2014-02-05 Shohreh Abdolrahimi , Andrey A. Shoom

We study the perturbative behaviour of charged topological-AdS black holes. We calculate both analytically and numerically the quasi-normal modes of the electromagnetic and gravitational perturbations. Keeping the charge-to-mass ratio…

High Energy Physics - Theory · Physics 2009-12-15 George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

The theory of $f(R)$ gravity with constant curvature (i.e. constant scalar curvature) admits rotating and charged black hole solutions obtained from the Kerr-Newman-(A)dS metrics of general relativity through appropriate rescalings of the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Alikram N. Aliev , Göksel Daylan Esmer

We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and other $p$-local quantum mechanical random Hamiltonians. These models exhibit an expansion using chord diagrams, which can be solved by combinatorial methods.…

High Energy Physics - Theory · Physics 2024-11-28 Micha Berkooz , Ohad Mamroud

We show that the low temperature phase of a conjugate pair of uncoupled, quantum chaotic, nonhermitian systems such as the Sachdev-Ye-Kitaev (SYK) model or the Ginibre ensemble of random matrices are dominated by replica symmetry breaking…

High Energy Physics - Theory · Physics 2021-02-22 Antonio M. García-García , Yiyang Jia , Dario Rosa , Jacobus J. M. Verbaarschot

Holographic quantum matter exhibits an intriguing connection between quantum black holes and more conventional (albeit strongly interacting) quantum many-body systems. This connection is manifested in the study of their…

Strongly Correlated Electrons · Physics 2018-08-03 M. Franz , M. Rozali

The OSp(2|2)-invariant planar dynamics of a D=4 superparticle near the horizon of a large mass extreme black hole is described by an N=2 superconformal mechanics, with the SO(2) charge being the superparticle's angular momentum. The {\it…

High Energy Physics - Theory · Physics 2016-08-25 J. A. de Azcarraga , J. M. Izquierdo , J. C. Perez Bueno , P. K. Townsend

Complex many-particle quantum entanglement is a central theme in two distinct major topics in physics: the strange metal state found in numerous correlated electron compounds, and the quantum theory of black holes in Einstein gravity. The…

Strongly Correlated Electrons · Physics 2024-01-17 Subir Sachdev

We study the scalar perturbations of asymptotically flat extremal Reissner-Nordstr\"om black holes via the quantum Seiberg-Witten geometry of $\mathcal{N}=2$ SU(2) gauge theory with $N_f=2$ flavors. The radial master equation, governed by a…

High Energy Physics - Theory · Physics 2026-05-18 Yi-Rong Wang , Peng Yang , Kilar Zhang

We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory. These stationary axially symmetric black holes are asymptotically flat. They possess non-trivial non-Abelian gauge fields outside their regular event horizon, and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. Kleihaus , J. Kunz , F. Navarro-Lerida

We propose a low energy model for simulating an analog black hole on an optical lattice using ultracold atoms. Assuming the validity of the holographic principle, we employ the Sachdev-Ye-Kitaev (SYK) model, which describes a system of…

General Physics · Physics 2025-08-25 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Martin H. Bacci , Eric Howard

Static solutions of the Einstein-Yang-Mills-Higgs system containing extreme black holes are studied. The field equations imply strong restrictions on boundary values of all fields at the horizon. If the Yang-Mills radial electric field $E$…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. Bicak , C. Cris , P. Hajicek , A. Higuchi

The behavior of black hole horizons under extreme conditions-such as near collapse or phase transitions-remains less understood, particularly in the context of soft hair and Aretakis instabilities. We show that the breakdown of conformal…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Pradosh Keshav MV , Arun Kenath

We rederive and extend the amplitude for charged spherical shells tunneling through the outer horizon of charged black holes. In particular, we explicitly confirm that an effective action approach with natural initial conditions for a…

High Energy Physics - Theory · Physics 2018-03-29 Lars Aalsma , Jan Pieter van der Schaar