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We give a simple proof that the Neumann coefficients of surface states in Witten's SFT satisfy the Hirota equations for dispersionless KP hierarchy. In a similar way we show that the Neumann coefficients for the three string vertex in the…

High Energy Physics - Theory · Physics 2010-04-05 L. Bonora , A. S. Sorin

We are investigating the properties of vacuum and boundary states in the CFT of free bosons under the conformal transformation. We show that transformed vacuum (boundary state) is given in terms of tau-functions of dispersionless KP (Toda)…

High Energy Physics - Theory · Physics 2010-02-03 Alexey Boyarsky , Oleg Ruchayskiy

We show that the three strings vertex coefficients in light--cone open string field theory satisfy the Hirota equations for the dispersionless Toda lattice hierarchy. We show that Hirota equations allow us to calculate the correlators of an…

High Energy Physics - Theory · Physics 2009-11-11 L. Bonora , R. J. Scherer Santos , A. S. Sorin , D. D. Tolla

We construct Witten-type string field theory vertices for a fermionic first order system with conformal weights (0,1) in the operator formulation using delta-function overlap conditions as well as the Neumann function method. The identity,…

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

We show that the boundary states satisfy a nonlinear relation (the idempotency equation) with respect to the star product of closed string field theory. This relation is universal in the sense that various D-branes, including the…

High Energy Physics - Theory · Physics 2009-11-10 Isao Kishimoto , Yutaka Matsuo , Eitoku Watanabe

The open string field theory of Witten (SFT) has a close formal similarity with Chern-Simons theory in three dimensions. This similarity is due to the fact that the former theory has concepts corresponding to forms, exterior derivative,…

High Energy Physics - Theory · Physics 2021-08-04 Hiroyuki Hata , Daichi Takeda

We study the matter part of the algebra of open string fields using the 3-string vertex over the sliver state, which we call ``comma vertex''. By generalizing this comma vertex to the $N$-string overlap, we obtain a closed form of the…

High Energy Physics - Theory · Physics 2009-11-07 Kazuyuki Furuuchi , Kazumi Okuyama

We study Witten's open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no B field, the vertices in the resulting…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Tomohiko Takahashi

We continue our analysis of open string field theory based on A-infinity-algebras obtained from Witten's theory by attaching stubs to the elementary vertex. Classical solutions of the new theory can be obtained from known analytic solutions…

High Energy Physics - Theory · Physics 2025-03-04 Martin Schnabl , Georg Stettinger

We regulate Witten's open superstring field theory by replacing the picture-changing insertion at the midpoint with a contour integral of picture changing insertions over the half-string overlaps of the cubic vertex. The resulting product…

High Energy Physics - Theory · Physics 2015-06-18 Theodore Erler , Sebastian Konopka , Ivo Sachs

We consider Witten's open string field theory in the presence of a non-trivial boundary of spacetime. For the kinetic term, we derive a Gibbons-Hawking-type contribution that has to be added to the action to guarantee a well-defined…

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

This thesis contains of two parts: The first part is a pedagogical introduction into the field of bosonic SFT. After discussing some general properties we expect, Witten's open SFT and Zwiebach's closed SFT are presented in detail. This…

High Energy Physics - Theory · Physics 2025-08-28 Georg Stettinger

We study Witten's cubic open string field theory on multiple $Dp$-branes. On multiple $Dp$-branes the string fields carry $U(N)$ group indices. Mapping the string world-sheet onto the upper half complex plane and evaluating the Polyakov…

High Energy Physics - Theory · Physics 2022-07-13 Taejin Lee

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

In the Lagrangian approach to 2-dimensional sigma models, B-fields and D-branes contribute topological terms to the action of worldsheets of both open and closed strings. We show that these terms naturally fit into a 2-dimensional, smooth…

Mathematical Physics · Physics 2021-10-25 Severin Bunk , Konrad Waldorf

We study Witten open string field theory in the pp-wave background in the tensionless limit, and construct the N-string vertex in the basis which diagonalizes the string perturbative spectrum. We found that the Witten *-product can be…

High Energy Physics - Theory · Physics 2009-11-07 Chong-Sun Chu , Pei-Ming Ho , Feng-Li Lin

Witten's cubic open string field theory is expanded around the perturbatively stable vacuum, including all scalar fields at levels 0, 2, 4 and 6. The (approximate) BRST cohomology of the theory is computed, giving strong evidence for the…

High Energy Physics - Theory · Physics 2009-11-07 Ian Ellwood , Washington Taylor

We construct a classical solution of vacuum string field theory (VSFT) and study whether it represents the perturbative open string vacuum. Our solution is given as a squeezed state in the Siegel gauge, and it fixes the arbitrary…

High Energy Physics - Theory · Physics 2010-02-03 Hiroyuki Hata , Teruhiko Kawano

We study the CPT theorem for a two-dimensional conformal field theory on an arbitrary Riemann surface. On the sphere the theorem follows from the assumption that the correlation functions have standard hermiticity properties and are…

High Energy Physics - Theory · Physics 2009-10-30 Andrea Pasquinucci , Kaj Roland

A Double Field Theory (DFT) description of gauge symmetry enhancing-breaking in the heterotic string is presented. The construction, based on previous results for the bosonic string, relies on the extension of the tangent frame of DFT. The…

High Energy Physics - Theory · Physics 2017-10-25 Gerardo Aldazabal , Eduardo Andres , Martin Mayo , Victor Penas
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