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At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten…

High Energy Physics - Theory · Physics 2015-06-26 Pawel Wegrzyn

Boundary conformal field theory is the suitable framework for a microscopic treatment of D-branes in arbitrary CFT backgrounds. In this work, we develop boundary deformation theory in order to study the changes of boundary conditions…

High Energy Physics - Theory · Physics 2009-10-31 A. Recknagel , V. Schomerus

We consider the field theory of $N$ massless bosons which are free except for an interaction localized on the boundary of their 1+1 dimensional world. The boundary action is the sum of two pieces: a periodic potential and a coupling to a…

High Energy Physics - Theory · Physics 2009-10-28 Ali Yegulalp

The gauge-fixing problem of modified cubic open superstring field theory is discussed in detail both for the Ramond and Neveu-Schwarz sectors in the Batalin-Vilkovisky (BV) framework. We prove for the first time that the same form of action…

High Energy Physics - Theory · Physics 2012-03-03 Maiko Kohriki , Taichiro Kugo , Hiroshi Kunitomo

We construct exact classical solutions in cubic open string field theory. By the redefinition of the string field, we find that the solutions correspond to finite deformations of the Wilson lines. The solutions have well-defined Fock space…

High Energy Physics - Theory · Physics 2009-11-07 Tomohiko Takahashi , Seriko Tanimoto

Boundary conditions play a non trivial role in string theory. For instance the rich structure of D-branes is generated by choosing appropriate combinations of Dirichlet and Neumann boundary conditions. Furthermore, when an antisymmetric…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Hector L. Carrion , Cresus F. L. Godinho

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

The Theory of Functional Connections (TFC) is a general methodology for functional interpolation that can embed a set of user-specified linear constraints. The functionals derived from this method, called \emph{constrained expressions},…

Optimization and Control · Mathematics 2021-05-18 Hunter Johnston

We discuss a general iterative procedure for constructing time dependent solutions in open string theory describing rolling of a generic tachyon field away from its maximum. These solutions are characterized by two parameters labelling the…

High Energy Physics - Theory · Physics 2009-11-07 Ashoke Sen

Generalizing previous work, we give a new analytic solution in Witten's open bosonic string field theory which can describe any open string background. The central idea is to use Riemann surface degenerations as a mechanism for taming OPE…

High Energy Physics - Theory · Physics 2020-02-05 Theodore Erler , Carlo Maccaferri

We revisit the identity-based solutions for tachyon condensation in open bosonic string field theory (SFT) from the viewpoint of the sine-square deformation (SSD). The string Hamiltonian derived from the simplest solution includes the…

High Energy Physics - Theory · Physics 2019-10-11 Isao Kishimoto , Tomomi Kitade , Tomohiko Takahashi

Boundary operators are gauge invariant operators whose form factors correspond to boundary contributions of BCFW shifts. In gauge theory, the boundary operators contain infinite series, which are constrained by gauge symmetry. We compute…

High Energy Physics - Theory · Physics 2022-12-12 Rijun Huang , Qingjun Jin , Yi Li

Let $\phi$ be an analytic self-map and $u$ be a fixed analytic function on the open unit disk $D$ in the complex plane $\CC.$ The weighted composition operator is defined\break by \begin{equation*} uC_\phi f =u \cdot (f\circ \phi), f \in…

Complex Variables · Mathematics 2007-09-24 Songxiao Li , Stevo Stević

We apply the theory of harmonic analysis on the fundamental domain of $SL(2,\mathbb{Z})$ to partition functions of two-dimensional conformal field theories. We decompose the partition function of $c$ free bosons on a Narain lattice into…

High Energy Physics - Theory · Physics 2022-05-31 Nathan Benjamin , Scott Collier , A. Liam Fitzpatrick , Alexander Maloney , Eric Perlmutter

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and…

High Energy Physics - Theory · Physics 2012-09-11 M. R. Setare , V. Kamali

In this paper, we explore the questions of time, locality and causality in the framework of covariant open bosonic string field theory. We show that if an open string field is expressed as a certain local function on spacetime--in…

High Energy Physics - Theory · Physics 2007-05-23 Theodore G. Erler , David J. Gross

We consider the one-point functions of bulk and boundary fields in the scaling Lee-Yang model for various combinations of bulk and boundary perturbations. The one-point functions of the bulk fields are analysed using the truncated conformal…

High Energy Physics - Theory · Physics 2009-10-31 P. Dorey , M. Pillin , R. Tateo , G. M. T. Watts

We study deformations of closed string theory by primary fields of conformal weight $(1,1)$, using conformal techniques on the complex plane. A canonical surface integral formalism for computing commutators in a non-holomorphic theory is…

High Energy Physics - Theory · Physics 2010-11-01 Martin Cederwall , Alexander von Gussich , Per Sundell

We consider string theory on $\text{AdS}_3 \times \text{S}^3 \times \mathbb{T}^4$ in the tensionless limit, with one unit of NS-NS flux. This theory is conjectured to describe the symmetric product orbifold CFT. We consider the string on…

High Energy Physics - Theory · Physics 2021-04-07 Lorenz Eberhardt

The set of string vertices is extended to include moduli spaces with genus and numbers of ordinary and special punctures ranging over all integral values $g,n,\bar n\geq0$. It is argued that both the string background and the B-V delta…

High Energy Physics - Theory · Physics 2007-05-23 Sabbir Rahman