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The concept of a skew root of a skew polynomial is used to introduce notions of algebraic closedness for $\sigma$-fields, that is, a field equipped with an endomorphism. It is shown that every $\sigma$-field can be embedded in algebraically…

Rings and Algebras · Mathematics 2025-11-11 Masood Aryapoor

A closed string worldsheet of genus $g$ with $n$ punctures can be presented as a contact interaction in which $n$ semi-infinite cylinders are glued together in a specific way via the Strebel differential on it, if $n\geq1,\ 2g-2+n>0$. We…

High Energy Physics - Theory · Physics 2024-05-21 Nobuyuki Ishibashi

K-theory provides a framework for classifying Ramond-Ramond (RR) charges and fields. K-theory of manifolds has a natural extension to K-theory of noncommutative algebras, such as the algebra considered in noncommutative Yang-Mills theory or…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries. We investigate some…

High Energy Physics - Theory · Physics 2008-11-26 Sumit R. Das , Luiz H. Santos

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

Motivated by noncommutative Chern-Simons theory, we construct an infinite class of field theories that satisfy the axioms of Witten's string field theory. These constructions have no propagating open string degrees of freedom. We…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Vipul Periwal

We construct a family of hyperbolic string vertices in the oriented open-closed string field theory, generalizing the recent result on hyperbolic closed string vertices by Costello and Zwiebach. The vertices are described by certain…

High Energy Physics - Theory · Physics 2020-06-24 Minjae Cho

In this talk, based on work done in collaboration with G. Landi and R.J Szabo, I will review how string theory can be considered as a noncommutative geometry based on an algebra of vertex operators. The spectral triple of strings is…

High Energy Physics - Theory · Physics 2011-04-15 Fedele Lizzi

In this paper, we study the semi-classical strings in AdS_4*CP^3 spacetime. We construct various kinds of string solutions, including the point-like, circular, folded and pulsating strings. For the circular and folded strings, we figure out…

High Energy Physics - Theory · Physics 2008-11-26 Bin Chen , Jun-Bao Wu

String Field Theory is a formulation of String Theory as a Quantum Field Theory in target space. It allows to tame the infrared divergences of String Theory and to approach its non-perturbative structure and background independence. This…

High Energy Physics - Theory · Physics 2024-05-14 Carlo Maccaferri

We investigate classical solutions in closed bosonic string field theory and heterotic string field theory that are obtained order by order starting from solutions of the linearized equations of motion, and we discuss the ``field…

High Energy Physics - Theory · Physics 2009-11-11 Yoji Michishita

We study gauge invariant operators of open string field theory and find a precise correspondence with on-shell closed strings. We provide a detailed proof of the gauge invariance of the operators and a heuristic interpretation of their…

High Energy Physics - Theory · Physics 2010-02-03 Akikazu Hashimoto , N. Itzhaki

Spectrahedra are sets defined by linear matrix inequalities. Projections of spectrahedra are called semidefinitely representable sets. Both kinds of sets are of practical use in polynomial optimization, since they occur as feasible sets in…

Optimization and Control · Mathematics 2009-12-17 Tim Netzer

Field Theory on Event Symmetric space-time is constructed using the gauge group of discrete open strings. Models with invariant actions can be viewed as natural extensions of Matrix Models. The objective is to find a fundamental…

High Energy Physics - Theory · Physics 2007-05-23 P. E. Gibbs

We examine the possibility of constructing analytical solutions describing marginal deformations in the open superstring field theory that is based on the non-minimal pure-spinor formalism. It is found out that some methods used for…

High Energy Physics - Theory · Physics 2013-07-10 Michael Kroyter

We propose a new method which analyzes the dynamical triangulation from the viewpoint of the non-critical string field theory. By using the transfer matrix formalism, we construct the non-critical string field theory (including $c>1$ cases)…

High Energy Physics - Theory · Physics 2009-10-28 Yoshiyuki Watabiki

We study the non-singlet sectors of Matrix Quantum Mechanics in application to two-dimensional string theory. We use the chiral formalism, which operates directly with incoming and outgoing asymptotic states, related by a scattering…

High Energy Physics - Theory · Physics 2010-10-27 Ivan Kostov

The zero modes of closed strings on a torus --the torus coordinates plus dual coordinates conjugate to winding number-- parameterize a doubled torus. In closed string field theory, the string field depends on all zero-modes and so can be…

High Energy Physics - Theory · Physics 2009-10-02 Chris Hull , Barton Zwiebach

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

Given two conformal field theories related to each other by a marginal perturbation, and string field theories constructed around such backgrounds, we show how to construct explicit redefinition of string fields which relate these two…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen
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