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We solve the coupled Einstein-Vlasov system in spherical symmetry using direct numerical integration of the Vlasov equation in phase space. Focusing on the case of massless particles we study critical phenomena in the model, finding strong…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Arman Akbarian , Matthew W. Choptuik

We investigate the dynamical stability and phase transition behavior in a holographic superfluid model incorporating higher-order self-interaction terms $\lambda |\psi|^4$, $\tau|\psi|^6$, and a non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zi-Qiang Zhao , Mei-Ling Yan , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

The Coulomb branch of $N=2$ supersymmetric gauge theories in four dimensions is described in general by an integrable Hamiltonian system in the holomorphic sense. A natural construction of such systems comes from two-dimensional gauge…

High Energy Physics - Theory · Physics 2010-04-07 Ron Donagi , Edward Witten

We compute the two-point correlation of the energy density for the massless mode in deconfining SU(2) Yang-Mills thermodynamics and point towards a possible application for the physics of cold, dilute, and stable clouds of atomic hydrogen…

High Energy Physics - Theory · Physics 2009-02-11 Jochen Keller , Ralf Hofmann , Francesco Giacosa

To gain insight in the quantum nature of cosmological singularities, we study anisotropic Kasner solutions in gauge/gravity duality. The dual description of the bulk evolution towards the singularity involves N = 4 super Yang-Mills on the…

High Energy Physics - Theory · Physics 2014-11-21 Netta Engelhardt , Thomas Hertog , Gary T. Horowitz

We apply numerical and analytic techniques to the study of Yang-Mills integrals with orthogonal, symplectic and exceptional gauge symmetries. The main focus is on the supersymmetric integrals, which correspond essentially to the bulk part…

High Energy Physics - Theory · Physics 2009-10-31 Werner Krauth , Matthias Staudacher

We study the holographic dual of the two dimensional non-relativistic conformal field theory with anisotropic scaling from a symmetry perspective. We construct a new four dimensional metric with two dimensional global anisotropic scaling…

High Energy Physics - Theory · Physics 2023-08-15 H. Lü , Pujian Mao , Jun-Bao Wu

We investigate a holographic model of superfluid flows with an external repulsive potential. When the strength of the potential is sufficiently weak, we analytically construct two steady superfluid flow solutions. As the strength of the…

High Energy Physics - Theory · Physics 2016-08-31 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We study the nearly critical behaviour of holographic superfluids at finite temperature and chemical potential. Using analytic techniques in the bulk, we derive an effective theory for the long wavelength dynamics of gapless and…

High Energy Physics - Theory · Physics 2026-02-25 Aristomenis Donos , Polydoros Kailidis

In this article we study the regularity of the topological and metric entropy of partially hyperbolic flows with two-dimensional center direction. We show that the topological entropy is upper semicontinuous with respect to the flow, and we…

Dynamical Systems · Mathematics 2018-11-05 Mario Roldán , Radu Saghin , Jiagang Yang

We investigate the holographic p-wave superfluid in the background metric of the AdS soliton with $RF^{2}$ corrections. Two models, namely, the Maxwell complex vector field model and Yang-Mills theory, are studied in the above context by…

High Energy Physics - Theory · Physics 2020-01-24 Yanmei Lv , Xiongying Qiao , Mengjie Wang , Qiyuan Pan , Wei-Liang Qian , Jiliang Jing

For the first time, a complete classification of all constant solutions of the Yang-Mills-Dirac equations with SU(2) gauge symmetry in Minkowski space ${\mathbb R}^{1,3}$ is given. The explicit form of all solutions is presented. We use the…

Mathematical Physics · Physics 2023-09-27 D. S. Shirokov

Collisions of asymmetric planar shocks in maximally supersymmetric Yang-Mills theory are studied via their dual gravitational formulation in asymptotically anti-de Sitter spacetime. The post-collision hydrodynamic flow is found to be very…

High Energy Physics - Theory · Physics 2019-09-04 Sebastian Waeber , Andreas Rabenstein , Andreas Schäfer , Laurence G. Yaffe

We calculate the one-instanton contribution to the prepotential in $N=2$ supersymmetric $SU(N_c)$ Yang-Mills theory from the microscopic viewpoint. We find that the holomorphy argument simplifies the group integrations of the instanton…

High Energy Physics - Theory · Physics 2009-10-30 Katsushi Ito , Naoki Sasakura

The problem of a heavy quark-anti-quark pair which have constant eternal acceleration in opposite directions in the vacuum of deconfined maximally supersymmetric Yang-Mills theory is studied both in perturbation theory and at strong…

High Energy Physics - Theory · Physics 2014-10-07 Veronika E. Hubeny , Gordon W. Semenoff

Celestial holography promisingly reformulates the scattering amplitude holographically in terms of celestial conformal field theory living at null infinity. Recently, an infinite-dimensional symmetry algebra was discovered in…

High Energy Physics - Theory · Physics 2022-02-09 Hongliang Jiang

We prove a semi-global gauge-invariant estimate for the solutions of the characteristic initial value problem associated with the coupled Einstein-Yang-Mills equations. In particular, we prove the existence of \textit{a} future development…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Puskar Mondal , Shing-Tung Yau

Using high-precision numerical analysis, we show that 3+1 dimensional gauge theories holographically dual to 4+1 dimensional Einstein-Maxwell-Chern-Simons theory undergo a quantum phase transition in the presence of a finite charge density…

High Energy Physics - Theory · Physics 2014-11-20 Eric D'Hoker , Per Kraus

We derive the leading dissipative corrections of holographic superfluids at finite temperature and chemical potential by employing our recently developed techniques to study dissipative effects in the hydrodynamic limit of holographic…

High Energy Physics - Theory · Physics 2022-11-30 Aristomenis Donos , Polydoros Kailidis

We give a physical interpretation for the analytic continuation of the partition function of superconformal SU$(2)$ $\mathcal{N}=2$ gauge theory on the four-sphere to all values of the Yang-Mills coupling. We show that a well-motivated 2d…

High Energy Physics - Theory · Physics 2026-02-06 Inês Aniceto , James Ratcliffe , Itamar Yaakov