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The smallest deformation of the minimal model M(2,3) that can accommodate Cardy's derivation of the percolation crossing probability is presented. It is shown that this leads to a consistent logarithmic conformal field theory at c=0. A…

High Energy Physics - Theory · Physics 2008-11-26 Pierre Mathieu , David Ridout

In a short review of recent work, we discuss the general problem of constructing the actions of new conformal field theories from old conformal field theories. Such a construction follows when the old conformal field theory admits new…

High Energy Physics - Theory · Physics 2007-05-23 Jan de Boer , M. B. Halpern

We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of…

High Energy Physics - Theory · Physics 2009-10-28 M. Ikehara , N. Ishibashi , H. kawai , T. Mogami , R. Nakayama , N. Sasakura

The methods of conformal field theory are used to obtain the series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent ,is the conformal invariance of the inertial…

High Energy Physics - Theory · Physics 2009-10-22 A. M. Polyakov

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

Decoupling limits of physical interest occur in regions of space--time where the string coupling diverges. This is illustrated in the celebrated example of five-branes. There are several ways to overcome this strong-coupling problem. We…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis , C. Kounnas , P. M. Petropoulos , I. Rizos

Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal space approach, we employ open string field theory (OSFT)…

High Energy Physics - Theory · Physics 2021-01-26 Kasia Budzik , Miroslav Rapcak , Jairo M. Rojas

Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field $B_{\mu \nu}$ is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to…

High Energy Physics - Theory · Physics 2008-11-26 Biswajit Chakraborty , Sunandan Gangopadhyay , Arindam Ghosh Hazra

Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface critical phenomena, the study of (super)string vacua. In the present overview of the…

Mathematical Physics · Physics 2014-11-18 I. T. Todorov

We consider a closed string field theory with an arbitrary matter current as a source of the closed string field. We find that the source must satisfy a constraint equation as a consequence of the BRST invariance of the theory. We see that…

High Energy Physics - Theory · Physics 2009-11-10 Tsuguhiko Asakawa , Shinpei Kobayashi , So Matsuura

We introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer…

High Energy Physics - Theory · Physics 2009-10-30 J. Fuchs , C. Schweigert

The amplitudes in perturbative open string theory are examined as functions of the tachyon condensate parameter. The boundary state formalism demonstrates the decoupling of the open string modes at the non-perturbative minima of the tachyon…

High Energy Physics - Theory · Physics 2010-02-03 Gordon Chalmers

In the framework of boundary conformal field theory we consider a flat unstable D$p$-brane in the presence of a large constant electromagnetic field. Specifically, we study the case that the electromagnetic field satisfy the following three…

High Energy Physics - Theory · Physics 2008-11-26 Akira Ishida , Chanju Kim , Yoonbai Kim , O-Kab Kwon

We consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central charge and the coefficient of a displacement…

High Energy Physics - Theory · Physics 2017-12-06 Christopher P. Herzog , Kuo-Wei Huang

Topological conformal field theories are defined using only basic results from the theory of quasiconformal mappings.

Geometric Topology · Mathematics 2023-03-14 Amitai Netser Zernik

These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: 1. Conformal theories in d dimensions 2. Conformal theories in…

High Energy Physics - Theory · Physics 2008-02-06 Paul Ginsparg

The methods of conformal field theory are used to compute the crossing probabilities between segments of the boundary of a compact two-dimensional region at the percolation threshold. These probabilities are shown to be invariant not only…

High Energy Physics - Theory · Physics 2009-10-22 John Cardy

We construct field theories in $2+1$ dimensions with multiple conformal symmetries acting on only one of the spatial directions. These can be considered a conformal extension to "subsystem scale invariances", borrowing the language often…

High Energy Physics - Theory · Physics 2021-05-05 Andreas Karch , Amir Raz

The main result of this paper is the construction of a conformally covariant operator in two dimensions acting on scalar fields and containing fourth order derivatives. In this way it is possible to derive a class of Lagrangians invariant…

High Energy Physics - Theory · Physics 2009-10-28 Franco Ferrari

We present a solution of the problem of a free massless scalar field on the half line interacting through a periodic potential on the boundary. For a critical value of the period, this system is a conformal field theory with a non-trivial…

High Energy Physics - Theory · Physics 2009-10-22 Curtis G. Callan , Igor R. Klebanov