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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

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 show how conformal field theory topological defects can relate solutions of open string field theory for different boundary conditions. To this end we generalize the results of Graham and Watts to include the action of defects on…

High Energy Physics - Theory · Physics 2016-12-08 Toshiko Kojita , Carlo Maccaferri , Toru Masuda , Martin Schnabl

The $d=2$ critical Ising model is described by an exactly solvable Conformal Field Theory (CFT). The deformation to $d=2+\epsilon$ is a relatively simple system at strong coupling outside of even dimensions. Using novel numerical and…

High Energy Physics - Theory · Physics 2022-05-13 Wenliang Li

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

We study a class of nonlocal conformal field theories in two dimensions which are obtained as deformations of the Virasoro minimal models. The construction proceeds by coupling a relevant primary operator $\phi_{r,s}$ of the $m$-th minimal…

High Energy Physics - Theory · Physics 2026-04-03 Connor Behan , Dario Benedetti , Fanny Eustachon , Edoardo Lauria

The string field theory for unoriented open-closed string mixed system is constructed up to quadratic order based on the joining-splitting type vertices. The gauge invariance with closed string transformation parameter is proved. The…

High Energy Physics - Theory · Physics 2009-10-30 Taichiro Kugo , Tomohiko Takahashi

The dissipative variant of the Ising model in a transverse field is one of the most important models in the analysis of open quantum many-body systems, due to its paradigmatic character for understanding driven-dissipative quantum phase…

Quantum Physics · Physics 2023-11-15 David Roberts , Aashish A. Clerk

We consider the non-trivial boundary conformal field theory with exactly marginal boundary deformation. In recent years this deformation has been studied in the context of rolling tachyons and S-branes in string theory. Here we study the…

High Energy Physics - Theory · Physics 2008-11-26 Shinsuke Kawai , Esko Keski-Vakkuri , Robert G. Leigh , Sean Nowling

We find nonlocal particle theories with two dimensional conformal symmetry, including examples equivalent to the bosonic open string and closed string. This work provides a new approach to construct solvable consistent backgrounds in string…

High Energy Physics - Theory · Physics 2009-01-08 Tai-Chung Cheng , Pei-Ming Ho , Tze-Kei Lee

Systems of interacting networks of strings such as cosmic strings or quantum vortices can be approximated in a certain regime as an anisotropic fluid with an equation of state depending on a conserved flux. The equations for ideal…

High Energy Physics - Theory · Physics 2015-03-05 Daniel Schubring

It has long been argued that the continuum limit of the 3D Ising model is equivalent to a string theory. Unfortunately, in the usual starting point for this equivalence -- a certain lattice theory of surfaces -- it is not at all obvious how…

High Energy Physics - Theory · Physics 2009-10-22 J. Distler

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

As of today there exist consistent, gauge-invariant string field theories describing all string theories: bosonic open and closed strings, open superstrings, heterotic strings and type II strings. The construction of these theories require…

High Energy Physics - Theory · Physics 2024-06-21 Ashoke Sen , Barton Zwiebach

We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and…

High Energy Physics - Theory · Physics 2009-11-07 P. Mosconi , G. Mussardo , V. Riva

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

Disordered Systems and Neural Networks · Physics 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

The boundary conditions of the bosonic string theory in non-zero $B$-field background are equivalent to the second class constraints of a discretized version of the theory. By projecting the original canonical coordinates onto the…

High Energy Physics - Theory · Physics 2015-06-25 M. A. De Andrade , M. A. Santos , I. V. Vancea

Noncommutativity in an open string moving in a background Neveu-Schwarz field is investigated in a gauge independent Hamiltonian approach, leading to new results. The noncommutativity is shown to be a direct consequence of the non-trivial…

High Energy Physics - Theory · Physics 2009-11-07 Rabin Banerjee , Biswajit Chakraborty , Subir Ghosh

We study the interfaces arising in the two-dimensional Ising model at critical temperature, without magnetic field. We show that in the presence of free boundary conditions between plus and minus spins, the scaling limit of these interfaces…

Probability · Mathematics 2011-10-18 Clément Hongler , Kalle Kytölä

We study boundary conditions for the bosonic, spinning (NSR) and Green-Schwarz open string, as well as for 1+1 dimensional supergravity. We consider boundary conditions that arise from (1) extremizing the action, (2) BRST, rigid or local…

High Energy Physics - Theory · Physics 2010-12-03 Ulf Lindstrom , Martin Rocek , Peter van Nieuwenhuizen