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In this lecture notes we explain and discuss some ideas concerning noncommutative geometry in general, as well as noncommutative field theories and string field theories. We consider noncommutative quantum field theories emphasizing an…

High Energy Physics - Theory · Physics 2017-08-23 I. Ya. Aref'eva , D. M. Belov , A. A. Giryavets , A. S. Koshelev , P. B. Medvedev

This is a brief review of vacuum string field theory, a new approach to open string field theory based on the stable vacuum of the tachyon. We discuss the sliver state explaining its role as a projector in the space of half-string…

High Energy Physics - Theory · Physics 2007-05-23 Leonardo Rastelli , Ashoke Sen , Barton Zwiebach

We construct a boundary state for a class of analytic solutions in the Witten's open string field theory. The result is consistent with the property of the zero limit of a propagator's length, which was claimed in [19]. And we show that our…

High Energy Physics - Theory · Physics 2015-05-30 Daisuke Takahashi

These lectures provide an introduction to the subject of tachyon condensation in the open bosonic string. The problem of tachyon condensation is first described in the context of the low-energy Yang-Mills description of a system of multiple…

High Energy Physics - Theory · Physics 2007-05-23 Washington Taylor

Using traditional Virasoro $L_0$ level-truncation computations, we evaluate the open bosonic string field theory action up to level $(10,30)$. Extremizing this level-truncated potential, we construct a numerical solution for tachyon…

High Energy Physics - Theory · Physics 2018-01-09 E. Aldo Arroyo , A. Fernandes-Silva , R. Szitas

We evaluate the classical action and the effective tachyon potential of open string field theory within KBc subalgebra, which is extensively used in analytic solution for tachyon condensation recently found by Erler and Schnabl. It is found…

High Energy Physics - Theory · Physics 2011-02-03 Syoji Zeze

The $KBc$ algebra is a subalgebra that has been used to construct classical solutions in Witten's open string field theory, such as the tachyon vacuum solution. The main purpose of this paper is to give various operator sets that satisfy…

High Energy Physics - Theory · Physics 2022-08-31 Hiroyuki Hata , Daichi Takeda , Jojiro Yoshinaka

We investigate a non-perturbative vacuum in open string field theory expanded around the analytic classical solution which has been found in the universal Fock space generated by matter Virasoro generators and ghost oscillators. We carry…

High Energy Physics - Theory · Physics 2010-04-05 Tomohiko Takahashi

We evaluate vacuum energy density of Schnabl's solution using the level truncation calculation and the total action including interaction terms. The level truncated solution provides vacuum energy density expected both for tachyon vacuum…

High Energy Physics - Theory · Physics 2009-05-20 Tomohiko Takahashi

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

Using Maccaferri's formula, we derive new wedge based solutions of open string field theory. The solutions are gauge equivalent to the Takahashi-Tanimoto scalar solutions. The classical action and the gauge invariant overlap are evaluated…

High Energy Physics - Theory · Physics 2015-07-21 Syoji Zeze

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 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

We explore the vacuum structure in bosonic open string field theory expanded around an identity-based solution parameterized by $a(>=-1/2)$. Analyzing the expanded theory using level truncation approximation up to level 20, we find that the…

High Energy Physics - Theory · Physics 2015-05-14 Isao Kishimoto , Tomohiko Takahashi

It has been proposed that a certain Z_N orbifold, analytically continued in N, can be used to describe the thermodynamics of Rindler space in string theory. In this paper, we attempt to implement this idea for the open-string sector. The…

High Energy Physics - Theory · Physics 2019-02-20 Edward Witten

We review the recent studies of tachyon condensation in string field theory. After introducing the open string field theory both for bosonic string and for superstring, we use them to examine the conjecture that the unstable configurations…

High Energy Physics - Theory · Physics 2007-05-23 Kazuki Ohmori

We find marginal and scalar solutions in cubic open string field theory by using left-right splitting properties of a delta function. The marginal solution represents a marginal deformation generated by a U(1) current, and it is a…

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

In this short letter we present a class of remarkably simple solutions to Witten's open string field theory that describe marginal deformations of the underlying boundary conformal field theory. The solutions we consider correspond to…

High Energy Physics - Theory · Physics 2008-11-26 Martin Schnabl

We propose a remarkably simple solution of cubic open string field theory which describes inhomogeneous tachyon condensation. The solution is in one-to-one correspondence with the IR fixed point of the RG-flow generated in the…

High Energy Physics - Theory · Physics 2015-05-20 L. Bonora , C. Maccaferri , D. D. Tolla

We study a real tachyon vacuum solution in cubic superstring field theory that avoids square roots and phantom terms. Using this new solution, we evaluate the vacuum energy and obtain a result consistent with Sen's conjecture. Additionally,…

High Energy Physics - Theory · Physics 2026-02-24 E. Aldo Arroyo