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The replicated field theory of the random field Ising model involves the couplings of replicas of different indices. The resulting correlation functions involve a superposition of different types of long distance behaviours. However the…

Condensed Matter · Physics 2009-10-31 E. Brézin , De Dominicis

Two-dimensional quantum field theories are important in many problems in physics because they contain exact symmetries and are often completely integrable. We demonstrate the power of bosonization in elucidating the structure of a…

General Physics · Physics 2014-07-09 Yuan K. Ha

The sigma model approach to the closed bosonic string on the affine-metric manifold is considered. The two-loop metric counterterms for the nonlinear two-dimensional sigma model with affine-metric target manifold are calculated. The…

High Energy Physics - Theory · Physics 2015-03-17 Vasily E. Tarasov

The simplest possible noncommutative harmonic oscillator in two dimensions is used to quantize the free closed bosonic string in two flat dimensions. The partition function is not deformed by the introduction of noncommutativity, if we…

High Energy Physics - Theory · Physics 2014-11-18 Agapitos Hatzinikitas , Ioannis Smyrnakis

In this paper we consider non-commutativity that arises from T-duality of bosonic coordinates of type II superstring in presence of coordinate dependent Ramond-Ramond field. Action with such choice of the background fields is not…

High Energy Physics - Theory · Physics 2024-01-24 D. Obric , B. Nikolic

We study orbifolds of two-dimensional topological field theories using defects. If the TFT arises as the twist of a superconformal field theory, we recover results on the Neveu-Schwarz and Ramond sectors of the orbifold theory as well as…

High Energy Physics - Theory · Physics 2014-09-16 Ilka Brunner , Nils Carqueville , Daniel Plencner

We study two-dimensional conformal field theories (CFTs) with boundaries via the conformal bootstrap. We derive a positive semi-definite program from crossing symmetry of three observables: the annulus partition function, the two-point…

High Energy Physics - Theory · Physics 2025-06-24 Marco Meineri , Bharathkumar Radhakrishnan

We investigate the consistency of the background-field formalism when applying various regularizations and renormalization schemes. By an example of a two-dimensional $\sigma$ model it is demonstrated that the background-field method gives…

High Energy Physics - Theory · Physics 2007-05-23 L. V. Avdeev , D. I. Kazakov , M. Yu. Kalmykov

It has been realised recently that there is no unique way to describe the physical states of a given string theory. In particular, it has been shown that any bosonic string theory can be embedded in a particular $N{=}1$ string background in…

High Energy Physics - Theory · Physics 2009-10-22 J. M. Figueroa-O'Farrill

A manifestly T-dual invariant formulation of bosonic string theory is discussed here. It can be obtained by making both the usual string compact coordinates and their duals explicitly appear, on the same footing, in the world-sheet action.…

High Energy Physics - Theory · Physics 2016-02-09 Franco Pezzella

We analyze the tachyon field in the bosonic open string theory in a constant B-field background using the background independent open string field theory. We show that in the large noncommutativity limit the action of tachyon field is given…

High Energy Physics - Theory · Physics 2009-10-31 Kazumi Okuyama

We study localization of bosonic bulk fields on a string-like defect with codimension 2 in a general space-time dimension in detail. We show that in cases of spin 0 scalar and spin 1 vector fields there are an infinite number of massless…

High Energy Physics - Theory · Physics 2009-10-31 Ichiro Oda

Conformal field theories have been extremely useful in our quest to understand physical phenomena in many different branches of physics, starting from condensed matter all the way up to high energy. Here we discuss applications of…

Quantum Physics · Physics 2021-12-14 Elias Kokkas , Aaron Bagheri , Zhenghan Wang , George Siopsis

We study systems without quenched disorder with a complex landscape, and we use replica symmetry theory to describe them. We discuss the Golay-Bernasconi-Derrida approximation of the low autocorrelation model, and we reconstruct it by using…

High Energy Physics - Theory · Physics 2009-10-28 E. Marinari , G. Parisi , F. Ritort

These lectures give an introduction to the methods of conformal field theory as applied to deriving certain results in two-dimensional critical percolation: namely the probability that there exists at least one cluster connecting two…

Mathematical Physics · Physics 2007-05-23 John Cardy

When fitting theory to data in the presence of background uncertainties, the question of whether the spectral shape of the background happens to be similar to that of the theoretical model of physical interest has not generally been…

Data Analysis, Statistics and Probability · Physics 2014-11-12 Byron Roe

We suggest that the extrinsic curvature and torsion of a bosonic string can be employed as variables in a two dimensional Landau-Ginzburg gauge field theory. Their interpretation in terms of the abelian Higgs multiplet leads to two…

High Energy Physics - Theory · Physics 2009-11-07 Antti J. Niemi

We study various aspects of codimension one defects in free scalar field theory, with particular emphasis on line defects in two-dimensions. These defects are generically non-conformal, but include conformal and topological defects as…

High Energy Physics - Theory · Physics 2025-03-12 Seolhwa Kim , Per Kraus , Zhengdi Sun

In this work we will investigate how the non-commutativity arises into the string theory, \textit{i.e.}, how the bosonic string theory attaches to a D3-brane in the presence of magnetic fields. In order to accomplish the proposal, we…

High Energy Physics - Theory · Physics 2015-12-02 M. A. De Andrade , C. Neves

A challenge in the study of conformal field theory (CFT) is to characterize the possible defects in specific bulk CFTs. Given the success of numerical bootstrap techniques applied to the characterization of bulk CFTs, it is desirable to…

Strongly Correlated Electrons · Physics 2025-10-16 Ryan A. Lanzetta , Shang Liu , Max A. Metlitski
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