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We study the dynamics of an open membrane with a cylindrical topology, in the background of a constant three form, whose boundary is attached to p-branes. The boundary closed string is coupled to a two form potential to ensure gauge…

High Energy Physics - Theory · Physics 2009-11-07 Ashok Das , J. Maharana , A. Melikyan

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes…

Statistical Mechanics · Physics 2020-08-17 Gesualdo Delfino , Walter Selke , Alessio Squarcini

The two-dimensional Ising model is studied at the boundary of a half-infinite cylinder. The three regular lattices (square, triangular and hexagonal) and the three regimes (sub-, super- and critical) are discussed. The probability of having…

Statistical Mechanics · Physics 2009-09-23 Yvan Saint-Aubin , Louis-Pierre Arguin , Hassan Aurag

We study the nonlinear response of non-integrable 1D spin models using infinite matrix-product state techniques. As a benchmark and demonstration of the method, we first calculate the 2D coherent spectroscopy for the exactly soluble…

Strongly Correlated Electrons · Physics 2023-03-29 GiBaik Sim , Johannes Knolle , Frank Pollmann

We conjecture that the $O(N)$-symmetric non-linear sigma model in the semi-infinite $(1+1)$-dimensional space is ``integrable'' with respect to the ``free'' and the ``fixed'' boundary conditions. We then derive, for both cases, the boundary…

High Energy Physics - Theory · Physics 2009-10-28 Subir Ghoshal

In this work we consider the Kitaev Toric Code with specific open boundary conditions. Such a physical system has a highly degenerate ground state determined by the degrees of freedom localised at the boundaries. We can write down an…

Quantum Physics · Physics 2019-02-25 Yevheniia Cheipesh , Lorenzo Cevolani , Stefan Kehrein

We derive boundary states which describe configurations of multiple parallel branes with arbitrary open string states interactions in bosonic string theory. This is obtained by a careful discussion of the factorization of open/closed string…

High Energy Physics - Theory · Physics 2008-11-26 Igor Pesando

The one-dimensional transverse field Ising model is solved by continuous unitary transformations in the high-field limit. A high accuracy is reached due to the closure of the relevant algebra of operators which we call string operators. The…

Strongly Correlated Electrons · Physics 2013-05-14 Benedikt Fauseweh , Götz S. Uhrig

We study an N=1 two-dimensional non-linear sigma model with boundaries representing, e.g., a gauge fixed open string. We describe the full set of boundary conditions compatible with N=1 superconformal symmetry. The problem is analyzed in…

High Energy Physics - Theory · Physics 2009-11-07 Cecilia Albertsson , Ulf Lindstrom , Maxim Zabzine

Based on the results published recently [SciPost Phys. 7, 026 (2019)], the influence of surfaces and boundary fields are calculated for the ferromagnetic anisotropic square lattice Ising model on finite lattices as well as in the…

Statistical Mechanics · Physics 2020-03-04 Hendrik Hobrecht , Alfred Hucht

We perform canonical quantization of open strings in the $D$-brane background with a $B$-field. Treating the mixed boundary condition as a primary constraint, we get a set of secondary constraints. Then these constraints are shown to be…

High Energy Physics - Theory · Physics 2009-10-31 Taejin Lee

We investigate the dynamics of open membrane boundaries in a constant C-field background. We follow the analysis for open strings in a B-field background, and take some approximations. We find that open membrane boundaries do show…

High Energy Physics - Theory · Physics 2009-10-31 Shoichi Kawamoto , Naoki Sasakura

We argue that it is possible to maintain both supersymmetry and integrability in the boundary tricritical Ising field theory. Indeed, we find two sets of boundary conditions and corresponding boundary perturbations which are both…

High Energy Physics - Theory · Physics 2014-11-18 Rafael I. Nepomechie

We discuss the non-linear sigma model representing a NSR open string in a curved background with non-zero $B_{\mu\nu}$-field. With this coupling the theory is not automatically supersymmetric, due to boundary contributions. When B=0…

High Energy Physics - Theory · Physics 2009-10-31 Parviz Haggi-Mani , Ulf Lindstrom , Maxim Zabzine

Cylindrically symmetric inhomogeneous string cosmological models are investigated in presence of string fluid as a source of matter. To get the three types of exact solutions of Einstein's field equations we assume $A = f(x)k(t)$, $B =…

General Relativity and Quantum Cosmology · Physics 2011-12-20 Anil Kumar Yadav , Vineet Kumar Yadav , Lallan Yadav

We introduce a combinatorial model based on measured foliations in surfaces which captures the phenomenology of open/closed string interactions. The predicted equations are derived in this model, and new equations can be discovered as well.…

Geometric Topology · Mathematics 2008-11-26 Ralph M. Kaufmann , R. C. Penner

We extend the results found for Matrix String Theory to Heterotic Matrix String Theory, i.e. to a 2d O(N) SYM theory with chiral (anomaly free) matter and N=(8,0) supersymmetry. We write down the instanton equations for this theory and…

High Energy Physics - Theory · Physics 2015-06-26 G. Bonelli , L. Bonora , F. Nesti , A. Tomasiello

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

The sigma model on complex projective superspaces CP^{S-1|S} gives rise to a continuous family of interacting 2D conformal field theories which are parametrized by the curvature radius R and the theta angle \theta. Our main goal is to…

High Energy Physics - Theory · Physics 2010-02-11 Constantin Candu , Vladimir Mitev , Thomas Quella , Hubert Saleur , Volker Schomerus

We make some remarks on possible definition of open string path integral in the presence of additional boundary couplings corresponding to the presence of masses at the ends of the string. These couplings are not conformally invariant…

High Energy Physics - Theory · Physics 2020-11-12 A. A. Tseytlin