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The fluctuations of two-dimensional extended objects membranes is a rich and exciting field with many solid results and a wide range of open issues. We review the distinct universality classes of membranes, determined by the local order,…

Soft Condensed Matter · Physics 2014-10-13 Mark J. Bowick , Alex Travesset

The Chern-Simons membranes and in general the Chern-Simons p-branes moving in $D$-dimensional target space admit an infinite set of secondary constraints. With respect to the Poisson bracket these constraints form a closed algebra which…

High Energy Physics - Theory · Physics 2015-06-26 Raiko P. Zaikov

We write down the general conditions for N=1 supersymmetric four-dimensional domain walls, deriving them from a ten-dimensional point of view using generalized complex geometry. In cases where the compactification allows for a truncation to…

High Energy Physics - Theory · Physics 2009-11-09 Michael Haack , Dieter Lust , Luca Martucci , Alessandro Tomasiello

So far magnetic domain walls in one-dimensional structures have been described theoretically only in the cases of flat strips, or cylindrical structures with a compact cross-section, either square or disk. Here we describe an extended phase…

Mesoscale and Nanoscale Physics · Physics 2014-12-03 Ségolène Jamet , Nicolas Rougemaille , Jean-Christophe Toussaint , Olivier Fruchart

We examine the extent to which the action for the membrane of M-theory (the eleven-dimensional construct which underlies and unifies all of the known string theories) simplifies in the so-called Open Membrane (OM) limit, a limit which lies…

High Energy Physics - Theory · Physics 2009-11-10 J. Antonio Garcia , Alberto Guijosa , J. David Vergara

In a classical Hamiltonian theory with second class constraints the phase space functions on the constraint surface are observables. We give general formulas for extended observables, which are expressions representing the observables in…

High Energy Physics - Theory · Physics 2009-11-07 Simon Lyakhovich , Robert Marnelius

We examine the structure of winding toroidal and open cylindrical membranes, especially in cases where they are stretched between boundaries. Non-zero winding or stretching means that there are linear terms in the mode expansion of the…

High Energy Physics - Theory · Physics 2016-09-06 Martin Cederwall

We construct Poisson brackets at boundaries of open strings and membranes with constant background fields which are compatible with their boundary conditions. The boundary conditions are treated as primary constraints which give infinitely…

High Energy Physics - Theory · Physics 2011-09-13 Ken-Ichi Tezuka

String theory still remains one of the promising candidates for a unification of the theory of gravity and quantum field theory. One of its essential parts is relativistic description of moving multi-dimensional objects called membranes (or…

Differential Geometry · Mathematics 2015-12-29 Jan Vysoky

The dual theory describing the 4D Coulomb gas of point-like magnetically charged objects, which confines closed electric strings, is considered. The respective generalization of the theory of confining strings to confining membranes is…

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

We classify the half-supersymmetric "domain walls", i.e. branes of codimension one, in toroidally compactified IIA/IIB string theory and show to which gauged supergravity theory each of these domain walls belong. We use as input the…

High Energy Physics - Theory · Physics 2013-05-30 Eric A. Bergshoeff , Axel Kleinschmidt , Fabio Riccioni

Supersymmetric domain walls are reviewed. The main emphasis is made on saturated walls in strongly coupled gauge theories. The central charge of the N=1 superalgebra appears in supersymmetric gluodynamics as a quantum anomaly. I also…

High Energy Physics - Theory · Physics 2007-05-23 M. Shifman

In this paper we show the relationship between cylindrical D2-branes and cylindrical superconducting membranes described by a generic effective action at the bosonic level. In the first case the extended objects considered, arose as blown…

High Energy Physics - Theory · Physics 2007-05-23 Ruben Cordero , Efrain Rojas

The bosonic membrane in a partial gauge, where one space dimension is eliminated, is formulated as a perturbation theory around an exact free string-like solution. This perturbative regime corresponds to a situation where one of the…

High Energy Physics - Theory · Physics 2009-11-10 Jonas Bjornsson , Stephen Hwang

Consider a surface described by a Hamiltonian which depends only on the metric and extrinsic curvature induced on the surface. The metric and the curvature, along with the basis vectors which connect them to the embedding functions defining…

Mathematical Physics · Physics 2009-11-10 Jemal Guven

Membranes are of great technological and biological as well as theoretical interest. Two main classes of membranes can be distinguished: Fluid membranes and polymerized, tethered membranes. Here, we review progress in the theoretical…

Condensed Matter · Physics 2007-05-23 Kay Joerg Wiese

Canonical tensor model (CTM for short below) is a rank-three tensor model formulated as a totally constrained system in the canonical formalism. In the classical case, the constraints form a first-class constraint Poisson algebra with…

High Energy Physics - Theory · Physics 2015-06-17 Naoki Sasakura , Yuki Sato

A new local world volume supersymmetric Lagrangian for the bosonic membrane is presented. The starting Lagrangian is the one constructed by Dolan and Tchrakian with vanishing cosmological constant, with quadratic and quartic derivative…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Castro

In the presence of membranes, M-theory becomes in the low energy limit 11 dimensional supergravity action coupled to a supermembrane action. The fields of the first action are the same fields which couple to the membrane. It is shown that…

High Energy Physics - Theory · Physics 2008-02-03 F. Aldabe

Starting from gauged N=8 supergravity in three dimensions we construct actions for multiple membranes by taking the limit to global supersymmetry for different choices of the embedding tensor. This provides a general framework that…

High Energy Physics - Theory · Physics 2008-11-26 Eric A. Bergshoeff , Mees de Roo , Olaf Hohm , Diederik Roest
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