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Polynomial dynamical systems describing interacting particles in the plane are studied. A method replacing integration of a polynomial multi--particle dynamical system by finding polynomial solutions of a partial differential equations is…

Exactly Solvable and Integrable Systems · Physics 2014-07-08 Maria V. Demina , Nikolai A. Kudryashov

A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective. We provide mathematically consistent formulations in a…

Analysis of PDEs · Mathematics 2016-06-29 Charles M. Elliott , Carsten Gräser , Graham Hobbs , Ralf Kornhuber , Maren-Wanda Wolf

We define different non-relativistic limit of p-brane with the help of canonical form of the p-brane action. We discuss properties of these actions and their symmetries.

High Energy Physics - Theory · Physics 2018-02-14 J. Kluson

We generalize the ideas and formalism of Two-Time Physics from particle dynamics to some specific examples of string and p-brane (p >= 1) dynamics. The two-time string or p-brane action can be gauge fixed to produce various one-time string…

High Energy Physics - Theory · Physics 2009-10-31 I. Bars , C. Deliduman , D. Minic

We describe the coupled system of supergravity and a superbrane source by the sum of the group manifold action for D--dimensional supergravity and the action for a super--$p$--brane. We derive the generalized Einstein equation with the…

High Energy Physics - Theory · Physics 2009-11-07 Igor A. Bandos , Jose A. de Azcarraga , Jose M. Izquierdo , Jerzy Lukierski

Here we place the Latex typeset of the paper M. Pavsic, Phys. Lett. A116 (1986) 1-5. In the paper we presented the picture that our spacetime is a 3-brane moving in a higher dimensional space. The dynamical equations were derived from the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Matej Pavsic

We review the subject of spontaneous supersymmetry breaking. First we consider supersymmetry breaking in a semiclassical theory. We illustrate it with several examples, demonstrating different phenomena, including metastable supersymmetry…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenneth Intriligator , Nathan Seiberg

In the study of disordered models like spin glasses the key object of interest is the rugged energy hypersurface defined in configuration space. The statistical mechanics calculation of the Gibbs-Boltzmann Partition Function gives the…

Statistical Mechanics · Physics 2016-01-20 R. Baviera , M. A. Virasoro

Understanding protein dynamics are essential for deciphering protein functional mechanisms and developing molecular therapies. However, the complex high-dimensional dynamics and interatomic interactions of biological processes pose…

Quantitative Methods · Quantitative Biology 2025-05-15 Tiexin Qin , Mengxu Zhu , Chunyang Li , Terry Lyons , Hong Yan , Haoliang Li

Assembly of protein complexes like virus shells, the centriole, the nuclear pore complex or the actin cytoskeleton is strongly determined by their spatial structure. Moreover it is becoming increasingly clear that the reversible nature of…

Subcellular Processes · Quantitative Biology 2014-05-13 Heinrich C. R. Klein , Ulrich S. Schwarz

We perform a generalization of the geometrical approach to describing extended objects for studying the doubly supersymmetric twistor--like formulation of super--p--branes. Some basic features of embedding world supersurface into target…

High Energy Physics - Theory · Physics 2011-07-19 I. Bandos , P. Pasti , D. Sorokin , M. Tonin , D. Volkov

We discuss the dynamics of intersecting $p$-branes with cosmological constants in the higher-dimensional gravity theories. For the delocalized brane case, these solutions describe an asymptotically de Sitter or power-law expanding universe,…

High Energy Physics - Theory · Physics 2014-07-29 Kunihito Uzawa

We consider properties of a covariant worldvolume action for a system of N coincident Dp-branes in D=(p+2) dimensional space-time (so called codimension one branes). In the case of N coincident D0-branes in D=2 we then find a generalization…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri Sorokin

We explore the possibility of constructing p-brane world-volume actions with the requirements of kappa-symmetry and gauge invariance as the only input. In the process, we develop a general framework which leads to actions interpolating…

High Energy Physics - Theory · Physics 2011-07-19 Anders Westerberg , Niclas Wyllard

We present new time dependent solutions for the dynamics of tubular D2-branes. We comment on the connection to cosmic string dynamics and explicitly give a few simple examples of oscillating and rotating brane configurations.

High Energy Physics - Theory · Physics 2010-02-03 Jose J. Blanco-Pillado

We demonstrate how actions for interacting superconformal field theories in (p+1)-dimensions arise as a result of gauge fixing worldvolume diffeomorphisms and fermionic kappa-symmetry in actions for super-p-branes propagating in…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Pasti , Dmitri Sorokin , Mario Tonin

We discuss the supersymmetry algebra of the M theory fivebrane and obtain a new threebrane soliton preserving half of the six-dimensional supersymmetry. This solution is dimensionally reduced to various D-p-branes.

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , N. D. Lambert , P. C. West

Using the superembedding formalism we construct supermembrane actions with higher derivative terms which can be viewed as possible higher order terms in effective actions. In particular, we provide the first example of an action for an…

High Energy Physics - Theory · Physics 2009-11-07 P. S. Howe , U. Lindström

The effective p-brane action approach is generalized for arbitrary scalar field and applied for the Liouville theory near a particle-like solution. It was established that this theory has the remarkable features discriminating it from the…

High Energy Physics - Theory · Physics 2008-11-26 Konstantin G. Zloshchastiev

We examine the supersymmetry of classical D-brane and M-brane configurations and explain the dependence of Killing spinors on coordinates. We find that one half supersymmetry is broken in the bulk and that supersymmetry near the D-brane…

High Energy Physics - Theory · Physics 2016-08-25 R. Kallosh , J. Kumar