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Related papers: Comma Vertex and String Field Algebra

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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

In this work we extend the notion of co-algebra, co-algebraic Wess-Zumino-Witten formulation of Lagrangian Field Theory and the Homotopy transfer theorem to many strings and particle systems. We discuss in detail the construction of higher…

High Energy Physics - Theory · Physics 2025-12-23 Enrico Perron Cabus

The interacting comma 3-vertex for the bosonic open string in the full string basis is derived using the half string overlap relations directly. Thus avoiding the coherent states technique employed in earlier derivations. The resulting form…

Mathematical Physics · Physics 2019-10-23 A Abdurrahman , I Abdurrahman , M Gassem

Using algebraic methods the Neveu-Schwarz fermionic matter sliver is constructed. Inspirited by the wedge algebra two equations for the sliver, linear and quadratic, are considered. It is shown that both equations give the same nontrivial…

High Energy Physics - Theory · Physics 2009-11-07 I. Ya. Aref'eva , A. A. Giryavets , P. B. Medvedev

We extend some aspects of vacuum string field theory to superstring field theory in Berkovits' formulation, and we study the star algebra in the fermionic matter sector. After clarifying the structure of the interaction vertex in the…

High Energy Physics - Theory · Physics 2009-11-07 Marcos Marino , Ricardo Schiappa

We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the notions of vertex algebra and of…

Quantum Algebra · Mathematics 2009-11-10 Yi-Zhi Huang , Liang Kong

String vertices of open-closed string field theory on an arbitrary closed string background with $N$ identical D-branes are investigated when $N$ is large. We identify the relevant geometric master equation and solve it using open-closed…

High Energy Physics - Theory · Physics 2024-02-28 Atakan Hilmi Fırat

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 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

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

The known Lorentz invariant string field theory for open N=2 strings is combined with a generalization of the twistor description of anti-self-dual (super) Yang-Mills theories. We introduce a Chern-Simons-type Lagrangian containing twistor…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld , Alexander D. Popov

We study a $U(N)$-invariant vector+matrix chain with the color structure of a lattice gauge theory with quarks and interpret it as a theory of open andclosed strings with target space $\Z$. The string field theory is constructed as a…

High Energy Physics - Theory · Physics 2014-11-18 Ivan K. Kostov

We propose a framework for computing the (light cone) string field theory vertex in the case when the string worldsheet QFT is a generic integrable theory. The prime example and ultimate goal would be the $AdS_5 \times S^5$ superstring…

High Energy Physics - Theory · Physics 2015-06-23 Zoltan Bajnok , Romuald A. Janik

We study a theory of particles interacting with strings. Considering such a theory for Type IIA superstring will give some clue about M-theory. As a first step toward such a theory, we construct the particle-particle-string interaction…

High Energy Physics - Theory · Physics 2007-05-23 Nobuyuki Ishibashi

We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the…

High Energy Physics - Theory · Physics 2025-06-16 Raji Ashenafi Mamade , Barton Zwiebach

Witten's open string field theory with a generalized version of stubs is reformulated as a cubic string field theory using an auxiliary string field. The gauge symmetries and equations of motion as well as the associative algebra of the…

High Energy Physics - Theory · Physics 2024-08-12 Harold Erbin , Atakan Hilmi Fırat

We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST analysis. Gauge symmetry transformations, generalized zero torsion constraints relating…

High Energy Physics - Theory · Physics 2013-05-30 Seungjin Lee , Dimitri Polyakov

We compare various ways of decomposing and decompactifying the string field theory vertex and analyze the relations between them. We formulate axioms for the octagon and show how it can be glued to reproduce the decompactified pp-wave SFT…

High Energy Physics - Theory · Physics 2017-06-28 Zoltan Bajnok , Romuald A. Janik

We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings,…

High Energy Physics - Theory · Physics 2007-05-23 A. Jevicki , J. P. Rodrigues , A. J. van Tonder

We construct the cubic interaction vertex and dynamically generated supercharges in light-cone superstring field theory for a large class half-supersymmetric D-branes in the plane-wave background. We show that these satisfy the plane-wave…

High Energy Physics - Theory · Physics 2010-04-05 B. Stefanski