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We concretely define the identity string field as a surface state and deal with it consistently in terms of conformal field theory language, never using its formal properties nor oscillator representation of it. The generalized gluing and…

High Energy Physics - Theory · Physics 2009-11-07 Isao Kishimoto , Kazuki Ohmori

The interaction vertex for a fermionic first order system of weights (1,0) such as the twisted bc-system, the fermionic part of N=2 string field theory and the auxiliary \eta\xi system of N=1 strings is formulated in the Moyal basis. In…

High Energy Physics - Theory · Physics 2009-11-10 Matthias Ihl , Alexander Kling , Sebastian Uhlmann

In string theory various projections have to be imposed to ensure supersymmetry. We study the consequences of these projections in the presence of world sheet boundaries. A-type boundary conditions come in several classes; only boundary…

High Energy Physics - Theory · Physics 2009-10-31 J. Fuchs , C. Schweigert , J. Walcher

We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that…

High Energy Physics - Theory · Physics 2010-11-19 Romuald A. Janik

This is a brief introduction to the subject of Conformal Field Theory on surfaces with boundaries and crosscaps, which describes the perturbative expansion of open string theory.

High Energy Physics - Theory · Physics 2011-07-19 Beatriz Gato-Rivera

In this note we will study solution of open bosonic string field theory based on action of operators from chiral algebra of boundary conformal field theory on identity element of string field theory star algebra. We will demonstrate that…

High Energy Physics - Theory · Physics 2009-11-10 J. Kluson

This lecture note covers topics on boundary conformal field theory, modular transformations and the Verlinde formula, and boundary logarithmic CFT. An introductory review on CFT with boundary and a discussion of its applications to…

High Energy Physics - Theory · Physics 2009-11-07 Shinsuke Kawai

The holographic relation between local boundary conformal quantum field theories (BCFT) and their non-local boundary restrictions is reviewed, and non-vacuum BCFT's, whose existence was conjectured previously, are constructed.

Mathematical Physics · Physics 2008-11-26 K. -H. Rehren

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) in semi-infinite space-time. In non-relativistic limit ($x\rightarrow\epsilon x, t\rightarrow t, \epsilon\rightarrow 0$), boundary conformal algebra changes…

High Energy Physics - Theory · Physics 2015-06-04 M. R. Setare , V. Kamali

Solutions of the Vacuum String Field Theory (VSFT) equation of motion involving matter part are given by projectors, and they represent nonperturbative solutions (e.g. the sliver) interpreted as D25-branes (or lower dimensional branes), but…

High Energy Physics - Theory · Physics 2007-05-23 A. Parodi

In this short paper we want to generalize some recent concepts related to stubs in open string field theory. First, we modify the auxiliary field method by Erbin and Firat [#Erbin2023] to non-BPZ even sliver frame stubs. We then also show…

High Energy Physics - Theory · Physics 2025-05-29 Georg Stettinger

We complete the construction of vacuum string field theory by proposing a canonical choice of ghost kinetic term -- a local insertion of the ghost field at the string midpoint with an infinite normalization. This choice, supported by level…

High Energy Physics - Theory · Physics 2009-09-15 Davide Gaiotto , Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

We derive boundary state of superstring in the open string channel. It describes the superconformal field theory of open string emission and absorption by D-brane. We define the boundary state by conformal mappings from upper half plane…

High Energy Physics - Theory · Physics 2011-09-16 Yosuke Imamura , Hiroshi Isono , Yutaka Matsuo

We establish a translation dictionary between open and closed strings, starting from open string field theory. Under this correspondence, (off-shell) level-matched closed string states are represented by star algebra projectors in open…

High Energy Physics - Theory · Physics 2007-05-23 L. Bonora , N. Bouatta , C. Maccaferri

There exist logarithmic CFTs(LCFTs) such as the $c_{p,1}$ models. It is also well known that it generally contains Jordan cell structure. In this paper, we obtain the boundary Ishibashi state for a rank-2 Jordan cell structure and, with…

High Energy Physics - Theory · Physics 2009-11-07 Yukitaka Ishimoto

The classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions. Solving Cardy's equation expressing the consistency condition on a cylinder is equivalent to finding integer valued…

High Energy Physics - Theory · Physics 2009-10-31 R. Behrend , P. Pearce , V. Petkova , J. -B. Zuber

Logarithmic conformal field theories are based on vertex algebras with non-semisimple representation categories. While examples of such theories have been known for more than 25 years, some crucial aspects of local logarithmic CFTs have…

High Energy Physics - Theory · Physics 2021-07-28 Jürgen Fuchs , Christoph Schweigert

We investigate crosscap states in two-dimensional rational conformal field theories (RCFTs), with an emphasis on the role of non-invertible symmetries. In particular, we argue for the existence of crosscap states labelled by each Verlinde…

High Energy Physics - Theory · Physics 2026-03-26 Wataru Harada , Justin Kaidi , Yuya Kusuki , Yuefeng Liu

We discuss the effect of boundaries in boundary logarithmic conformal field theory and show, with reference to both $c=-2$ and $c=0$ models, how they produce new features even in bulk correlation functions which are not present in the…

High Energy Physics - Theory · Physics 2009-10-31 Ian I. Kogan , John F. Wheater

Conformal field theory on the half-space x>0 of Minkowski space-time ("boundary CFT") is analyzed from an algebraic point of view, clarifying in particular the algebraic structure of local algebras and the bi-localized charge structure of…

Mathematical Physics · Physics 2011-04-06 Roberto Longo , Karl-Henning Rehren