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Related papers: Minimal solution of the AdS/CFT crossing equation

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Finding complex reaction and transformation pathways, involving many intermediate states, is in general not possible on the DFT level with existing simulation methods due to the very large number of required energy and force evaluations.…

Computational Physics · Physics 2019-11-20 Deb Sankar De , Marco Krummenacher , Bastian Schaefer , Stefan Goedecker

We extend the Balancing Domain Decomposition by Constraints (BDDC) method to flows in porous media discretised by mixed-hybrid finite elements with combined mesh dimensions. Such discretisations appear when major geological fractures are…

Numerical Analysis · Mathematics 2015-11-24 Jakub Šístek , Jan Březina , Bedřich Sousedík

We reconsidered the Coleman de Luccia solution building an AdS4 bubble expanding into a false flat vacuum. In this construction when junction conditions are imposed we find an upper bound to the radius of the AdS4 and a domain wall whose…

High Energy Physics - Theory · Physics 2011-11-14 José A. Rosabal

An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS_5xS^5 superstring has recently been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations, however due…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik

For small volume of the quark-gluon plasma formed in heavy ion collisions, the observable near criticality must obey finite-size scaling. According to the finite-size scaling, there exists a fixed point at the critical temperature, where…

High Energy Physics - Phenomenology · Physics 2018-11-30 Yan-Hua Zhang , Xue Pan , Li-Zhu Chen , Ming-Mei Xu , Zhi-Ming Li , Ye-Yin Zhao , Yuan-Fang Wu

We propose a phase factor of the worldsheet S-matrix for strings on AdS_5 x S^5 apparently solving Janik's crossing relation.

High Energy Physics - Theory · Physics 2008-11-26 Niklas Beisert

The AdS/CFT correspondence relates Wilson loops in N=4 SYM to minimal area surfaces in $AdS_5\times S^5$ space. Recently, a new approach to study minimal area surfaces in $AdS_3 \subset AdS_5$ was discussed based on a Schroedinger equation…

High Energy Physics - Theory · Physics 2016-09-21 Changyu Huang , Yifei He , Martin Kruczenski

The Harper equation describes an electron on a 2D lattice in magnetic field and a particle on a 1D lattice in a periodic potential, in general, incommensurate with the lattice potential. We find the distribution of the roots of Bethe ansatz…

Condensed Matter · Physics 2008-12-18 I. V. Krasovsky

We systematically consider the AdS/CFT correspondence for a simplest mixed-symmetry massless gauge field described by hook Young diagram. We introduce the radial gauge fixing and explicitly solve the Dirichlet problem for the hook field…

High Energy Physics - Theory · Physics 2015-06-11 K. B. Alkalaev

The analytical method of solving the boundary problems for a system of equations describing the behaviour of electrons and an electric field in the Maxwell plasma half-space is developed. Here the diffusion reflection of electrons from the…

Mathematical Physics · Physics 2010-01-20 Yu. F. Alabina , A. V. Latyshev , A. A. Yushkanov

Potential energy surfaces (PES's) of actinide nuclei are characterized by a two-humped barrier structure. At large deformations beyond the second barrier the occurrence of a third one was predicted by Mic-Mac model calculations in the…

Nuclear Theory · Physics 2015-01-28 Jie Zhao , Bing-Nan Lu , Dario Vretenar , En-Guang Zhao , Shan-Gui Zhou

One may ask whether the CFT restricted to a subset b of the AdS boundary has a well-defined dual restricted to a subset H(b) of the bulk geometry. The Poincare patch is an example, but more general choices of b can be considered. We propose…

High Energy Physics - Theory · Physics 2015-03-20 Raphael Bousso , Stefan Leichenauer , Vladimir Rosenhaus

We classify Minkowski$_4$ solutions in type IIA supergravity, with N=2 supersymmetry and an SU(2) R-symmetry of a certain type. Many subcases can be reduced to relatively simple PDEs, among which we recover various intersecting brane…

High Energy Physics - Theory · Physics 2017-12-05 Niall T. Macpherson , Alessandro Tomasiello

A first attempt to apply the AdS/QCD framework for a bottom-up approach to the evaluation of the effective cross section for double parton scattering in proton-proton collisions is presented. The main goal is the analytic evaluation of the…

High Energy Physics - Phenomenology · Physics 2017-03-21 Marco Traini , Matteo Rinaldi , Sergio Scopetta , Vicente Vento

The dressing method based on the $2\times2$ matrix $\bar\partial$-problem is generalized to study the canonical form of AB equations. The soliton solutions for the AB equations are given by virtue of the properties of Cauchy matrix.…

Exactly Solvable and Integrable Systems · Physics 2015-06-15 Junyi Zhu , Xianguo Geng

We consider boundary value problems for semilinear hyperbolic systems of the type $$ \partial_tu_j + a_j(x,\la)\partial_xu_j + b_j(x,\la,u) = 0, \; x\in(0,1), \;j=1,\dots,n $$ with smooth coefficient functions $a_j$ and $b_j$ such that…

Analysis of PDEs · Mathematics 2025-12-10 I. Kmit , L. Recke

We study the BCS-BEC crossover phenomenon of triplet exciton condensation using a half-filled bilayer Hubbard model. We calculate the dynamical spin structure factor and the exciton wave function on the phase boundary between the…

Strongly Correlated Electrons · Physics 2023-06-21 Hidemaro Suwa , Shang-Shun Zhang , Cristian D. Batista

We use the AdS/QCD distribution amplitudes for light mesons to calculate the transition form factors for B to $\rho$, $K^*$ decays. These form factors are then utilized to make predictions for the semileptonic $B\to\rho\ell\nu$ and…

High Energy Physics - Phenomenology · Physics 2014-10-31 Mohammad Ahmady , Robyn Campbell , Sébastien Lord , Ruben Sandapen

For the classical N-body problem, an approach is proposed based on the introduction of some natural in the physical sense optimization problems of mathematical programming for finding a conditional minimum for the characteristics of the…

Dynamical Systems · Mathematics 2023-07-26 Igor Pavlov

We derive model-independent lower bounds on the stress tensor central charge C_T in terms of the operator content of a 4-dimensional Conformal Field Theory. More precisely, C_T is bounded from below by a universal function of the dimensions…

High Energy Physics - Theory · Physics 2011-03-23 Riccardo Rattazzi , Slava Rychkov , Alessandro Vichi