scholarly journals Topological defects as relics of spontaneous symmetry breaking from black hole physics

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hua-Bi Zeng ◽  
Chuan-Yin Xia ◽  
Hai-Qing Zhang
Keyword(s):  
Symmetry Breaking ◽  
Black Hole Physics ◽  
Topological Defects ◽  
Coupled Systems ◽  
Holographic Superconductor ◽  
Strongly Coupled ◽  
Type Ii Superconductors ◽  
Formation And Evolution ◽  
Gauge Gravity ◽  
Gravity Duality

Abstract Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in strongly coupled systems, in absence of quasiparticles, is especially challenging. We investigate breaking of U(1) symmetry and the resulting spontaneous formation of vortices in a (2 + 1)-dimensional holographic superconductor employing gauge/gravity duality, a ‘first-principles’ approach to study strongly coupled systems. Magnetic fluxons with quantized fluxes are seen emerging in the post-transition superconducting phase. As expected in type II superconductors, they are trapped in the cores of the order parameter vortices. The dependence of the density of these topological defects on the quench time, the dispersion of the typical winding numbers, and the vortex-vortex correlations are consistent with predictions of the Kibble-Zurek mechanism.

scholarly journals GAUGE/GRAVITY DUALITY AND SOME APPLICATIONS

2010 ◽  
Vol 25 (34) ◽  
pp. 2859-2872 ◽  
Author(s):  
SPENTA R. WADIA
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Black Hole Physics ◽  
Higher Dimension ◽  
Strongly Coupled ◽  
Open Strings ◽  
Historical Continuity ◽  
Semiclassical Gravity ◽  
Gauge Gravity ◽  
Gravity Duality

We discuss the AdS/CFT correspondence in which spacetime emerges from an interacting theory of D-branes and open strings. These ideas have a historical continuity with QCD which is an interacting theory of quarks and gluons. In particular, we review the classic case of D3 branes and the non-conformal D1 brane system. We outline by some illustrative examples the calculations that are enabled in a strongly coupled gauge theory by correspondence with dynamical horizons in semiclassical gravity in one higher dimension. We also discuss implications of the gauge fluid/gravity correspondence for the information paradox of black hole physics.

A DIRECT TEST OF THE GAUGE/GRAVITY DUALITY AND THE STRING THEORETICAL DESCRIPTION OF A BLACK HOLE

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2161-2164 ◽  
Author(s):  
JUN NISHIMURA
Keyword(s):  
Black Hole ◽  
Theoretical Description ◽  
Direct Test ◽  
Strongly Coupled ◽  
Open Strings ◽  
Large N ◽  
Brane Solution ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Microscopic Origin

We perform a direct test of the gauge/gravity duality by studying one-dimensional U (N) gauge theory with 16 supercharges at finite temperature using Monte Carlo simulation. In the 't Hooft large-N limit and in the strong coupling limit, the model is expected to have a dual gravity description in terms of the near-extremal black 0-brane solution in ten-dimensional type IIA supergravity. Our results provide the first example, in which the microscopic origin of the black hole thermodynamics is accounted for by solving explicitly the strongly coupled dynamics of the open strings attached to the D-branes.

scholarly journals Holographic subdiffusion

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Koushik Ganesan ◽  
Andrew Lucas
Keyword(s):  
Fourth Order ◽  
Finite Temperature ◽  
Response Functions ◽  
Quantum Theories ◽  
Strongly Coupled ◽  
Zero Density ◽  
Rank Tensor ◽  
Low Energies ◽  
Gauge Gravity ◽  
Gravity Duality

Abstract We initiate a study of finite temperature transport in gapless and strongly coupled quantum theories with charge and dipole conservation using gauge-gravity duality. In a model with non-dynamical gravity, the bulk fields of our model include a suitable mixed-rank tensor which encodes the boundary multipole symmetry. We describe how such a theory can arise at low energies in a theory with a covariant bulk action. Studying response functions at zero density, we find that charge relaxes via a fourth-order subdiffusion equation, consistent with a recently-developed field-theoretic framework.

scholarly journals Early thermalization, hydrodynamics and energy loss in AdS/CFT

2015 ◽  
Vol 24 (10) ◽  
pp. 1530011 ◽  
Author(s):  
Paul M. Chesler ◽  
Wilke van der Schee
Keyword(s):  
Energy Loss ◽  
Strong Coupling ◽  
Gauge Theories ◽  
Heavy Ion ◽  
Strongly Coupled ◽  
Equilibrium Dynamics ◽  
Ion Collisions ◽  
Far From Equilibrium ◽  
Gauge Gravity ◽  
Gravity Duality

Gauge/gravity duality has provided unprecedented opportunities to study dynamics in certain strongly coupled gauge theories. This review aims to highlight several applications to heavy ion collisions including far-from-equilibrium dynamics, hydrodynamics and jet energy loss at strong coupling.

scholarly journals Holographic superconductors in the presence of dark matter

2017 ◽  
Vol 31 (25) ◽  
pp. 1745019 ◽  
Author(s):  
Marek Rogatko ◽  
Karol I. Wysokiński
Keyword(s):  
Dark Matter ◽  
De Sitter ◽  
Holographic Superconductor ◽  
Conformal Field ◽  
Holographic Superconductors ◽  
Wave Symmetry ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
The Universe ◽  
Properties Of Superconductors

The application of the gauge-gravity duality, also known as anti-de Sitter/conformal field theory (AdS/CFT) correspondence to study condensed matter systems has resulted in a number of important findings. Using the analogy, we have studied the phase transitions between a holographic insulator and a metal at zero temperature as well as finite temperature transition between a metal and a holographic superconductor of [Formula: see text]- and [Formula: see text]-wave symmetry. The main aim of this note is to look in which way the dark matter might affect the properties of superconductors. The hope is that some of the observed modifications could be used to detect this ubiquitous but still elusive component of matter in the Universe.

scholarly journals Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Zhi-Hong Li ◽  
Chuan-Yin Xia ◽  
Hua-Bi Zeng ◽  
Hai-Qing Zhang
Keyword(s):  
Topological Defects ◽  
Coupled Systems ◽  
Global Symmetry ◽  
Spatial Correlations ◽  
Equal Sign ◽  
Strongly Coupled ◽  
Trapping Mechanism ◽  
Flux Trapping ◽  
Local Gauge Symmetry ◽  
Positive Correlations

Abstract Gauge invariance plays an important role in forming topological defects. In this work, from the AdS/CFT correspondence, we realize the clusters of equal-sign vortices during the course of critical dynamics of a strongly coupled superconductor. This is the first time to achieve the equal-sign vortex clusters in strongly coupled systems. The appearance of clusters of equal-sign vortices is a typical character of flux trapping mechanism, distinct from Kibble-Zurek mechanism which merely presents vortex-antivortex pair distributions resulting from global symmetry breaking. Numerical results of spatial correlations and net fluxes of the equal-sign vortex clusters quantitatively support the positive correlations between vortices. The linear dependence between the vortex number and the amplitude of magnetic field at the ‘trapping’ time demonstrates the flux trapping mechanism very well.

scholarly journals Review of lattice supersymmetry and gauge-gravity duality

2015 ◽  
Vol 30 (27) ◽  
pp. 1530054 ◽  
Author(s):  
Anosh Joseph
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Strongly Coupled ◽  
The Status ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Insight Into

We review the status of recent investigations on validating the gauge-gravity duality conjecture through numerical simulations of strongly coupled maximally supersymmetric thermal gauge theories. In the simplest setting, the gauge-gravity duality connects systems of D0-branes and black hole geometries at finite temperature to maximally supersymmetric gauged quantum mechanics at the same temperature. Recent simulations show that nonperturbative gauge theory results give excellent agreement with the quantum gravity predictions, thus proving strong evidence for the validity of the duality conjecture and more insight into quantum black holes and gravity.

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