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This is a set of lectures on the gauge/string duality and non-critical strings, with a particular emphasis on the discretized, or matrix model, approach. After a general discussion of various points of view, I describe the recent…

High Energy Physics - Theory · Physics 2007-05-23 Frank Ferrari

Various higher-dimensional black holes have been shown to be unstable by studying linearized gravitational perturbations. A simpler method for demonstrating instability is to find initial data that describes a small perturbation of the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Pau Figueras , Keiju Murata , Harvey S. Reall

The black-hole black-string system is known to exhibit critical dimensions and therefore it is interesting to vary the spacetime dimension $D$, treating it as a parameter of the system. We derive the large $D$ asymptotics of the critical,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Barak Kol , Evgeny Sorkin

String dynamics in a curved space-time is studied on the basis of an action functional including a small parameter of rescaled tension $\epsilon=\gamma/\alpha^{\prime}$, where $\gamma$ is a metric parametrizing constant. A rescaled slow…

High Energy Physics - Theory · Physics 2009-10-31 S. N. Roshchupkin , A. A. Zheltukhin

We construct a non-topological string solution for a supersymmetric gauge theory with $SU(2)\times U(1)$ gauge symmetry which is spontaneously broken to $U(1)$ by developing the vacuum expectation value of two doublet Higgses. It is a…

High Energy Physics - Phenomenology · Physics 2023-03-15 Yukihiro Kanda , Nobuhiro Maekawa

We discuss the stability of (charged) static black holes in higher-dimensional spacetimes with and without cosmological constant by using gauge-invariant master equations of the Schroedinger equation type for black hole perturbations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hideo Kodama , Akihiro Ishibashi

It is demonstrated that static, charged, spherically--symmetric black holes in string theory are classically and catastrophically unstable to linearized perturbations in four dimensions, and moreover that unstable modes appear for…

High Energy Physics - Theory · Physics 2007-05-23 Gerald Gilbert

In general quantum systems there are two kinds of spacetime modes, those that fluctuate and those that do not. Fluctuating modes have normalizable wavefunctions. In the context of 2D gravity and ``non-critical'' string theory these are…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg , Stephen Shenker

In this Thesis we investigate properties of stability, rigidity and unitarity of the string landscape in ten and lower dimensions. The dissertation explores these aspects by intertwining a detailed analysis of string vacua, with and without…

High Energy Physics - Theory · Physics 2024-08-02 Giorgio Leone

Some black hole mimickers, as well as black strings and other higher-dimensional spacetimes, exhibit stable light rings-regions where light or high-frequency gravitational waves can be trapped. In these regions, linear perturbations decay…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Jaime Redondo-Yuste , Alejandro Cárdenas-Avendaño

It is expected that the Gregory-Laflamme (GL) instability in the black string in gravity is related to the Rayleigh-Plateau instability in fluid mechanics. Especially, the orders of the phase transitions associated with these instabilities…

High Energy Physics - Theory · Physics 2014-09-05 Takehiro Azuma , Takeshi Morita , Shingo Takeuchi

We construct the non uniform AdS black string solution with a perturbation theory in six dimensions, focusing on the backreacting second order correction. The backreactions at second order give the first relevant corrections to the…

High Energy Physics - Theory · Physics 2008-11-26 Terence Delsate

We study the instabilities to the conformal critical point of an exactly solvable family of Gross-Neveu models. Using conformal field theory techniques, we construct the zero-temperature phase diagram and identify the superconducting and…

Strongly Correlated Electrons · Physics 2026-02-02 Jaewon Kim

We study the equations of black strings in spacetimes of arbitrary dimensions with a negative cosmological constant and construct numerically non uniform black strings solutions. Our results suggest the existence of a localised black hole…

High Energy Physics - Theory · Physics 2009-07-22 T. Delsate

Two new effects of interaction of the gauge string with a homogeneous density of fermions are considered in a gauge model with an anomalous coupling of vector fields with fermions. First, the presence of an induced nonzero magnetic-like…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Kozhevnikov

The string-black hole correspondence principle can be investigated in the non-BPS scenario by studying the string configuration and entropy when the string coupling is slowly increased. Through a rigorous analysis, it is shown how an…

High Energy Physics - Theory · Physics 2010-04-16 Diego Chialva

I give a brief review of the Gregory-Laflamme instability as originally found for a 5-dimensional black string. This is a chapter of the book "Black Holes in Higher Dimensions" to be published by Cambridge University Press (editor: G.…

General Relativity and Quantum Cosmology · Physics 2011-08-01 Ruth Gregory

In this paper we study black string solutions considering the Lifshitz anisotropic scaling. We have shown that a new class of asymptotically Lifshitz solutions can be generated by an Einstein-Maxwell-Dilaton theory with a cosmological…

General Relativity and Quantum Cosmology · Physics 2024-06-17 L. A. Lessa , J. E. G. Silva , J. Furtado

We examine the dynamics of neutral black rings, and identify and analyze a selection of possible instabilities. We find the dominating forces of very thin black rings to be a Newtonian competition between a string-like tension and a…

High Energy Physics - Theory · Physics 2009-11-11 Henriette Elvang , Roberto Emparan , Amitabh Virmani

We investigate the stability of charged black holes in two-dimensional heterotic string theories that were recently discussed by McGuidan, Nappi and Yost. In the framework of small time-dependent perturbation, we find that these black holes…

High Energy Physics - Theory · Physics 2019-08-15 Rue-Ron Hsu , Green Huang , Wei-Fu Lin , Chin-Rong Lee
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