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We propose new gauge invariant actions for open NS, heterotic NS, and closed NS-NS superstring field theories. They are based on the large Hilbert space, and have Wess-Zumino-Witten-like expressions which are the $\mathbb{Z}_{2}$-reversed…

High Energy Physics - Theory · Physics 2018-07-17 Keiyu Goto , Hiroaki Matsunaga

We discuss general properties of $A_\infty$-algebras and their applications to the theory of open strings. The properties of cyclicity for $A_\infty$-algebras are examined in detail. We prove the decomposition theorem, which is a stronger…

Quantum Algebra · Mathematics 2010-11-11 Hiroshige Kajiura

We first discuss how open/closed chord diagrams, both with and without marked points, act on appropriate Hochschild complexes possibly coupled with the two-sided cobar complex. Then, in the main part of the paper, we introduce the notion of…

Quantum Algebra · Mathematics 2007-05-23 Thomas Tradler , Mahmoud Zeinalian

We discuss general properties of classical string field theories with symmetric vertices in the context of deformation theory. For a given conformal background there are many string field theories corresponding to different decomposition of…

High Energy Physics - Theory · Physics 2015-06-26 Hiroshige Kajiura

We construct a class of analytic solutions of WZW-type open superstring field theory describing marginal deformations of a reference D-brane background. The deformations we consider are generated by on-shell vertex operators with vanishing…

High Energy Physics - Theory · Physics 2009-04-17 Theodore Erler

In this paper we discuss various aspects of open-closed homotopy algebras (OCHAs) presented in our previous paper, inspired by Zwiebach's open-closed string field theory, but that first paper concentrated on the mathematical aspects. Here…

High Energy Physics - Theory · Physics 2009-11-11 Hiroshige Kajiura , Jim Stasheff

We clarify a Wess-Zumino-Wtten-like structure including Ramond fields and propose one systematic way to construct gauge invariant actions: Wess-Zumino-Witten-like complete action $S_{\rm WZW}$. We show that Kunitomo-Okawa's action proposed…

High Energy Physics - Theory · Physics 2018-07-17 Hiroaki Matsunaga

In a previous paper it was shown that the recently constructed action for open superstring field theory based on $A_\infty$ algebras can be re-written in Wess-Zumino-Witten-like form, thus establishing its relation to Berkovits' open…

High Energy Physics - Theory · Physics 2016-01-07 Theodore Erler

We verify that certain algebras appearing in string field theory are algebras over Feynman transform of modular operads which we describe explicitly. Equivalent description in terms of solutions of generalized BV master equations are…

Algebraic Topology · Mathematics 2015-10-02 Martin Doubek , Branislav Jurco , Korbinian Muenster

I review the construction of an action for open superstring field theory which does not suffer from the contact term problems of other approaches. This action resembles a Wess-Zumino-Witten action and can be constructed in a manifestly D=4…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Berkovits

Interactions in complex systems are widely observed across various fields, drawing increased attention from researchers. In mathematics, efforts are made to develop various theories and methods for studying the interactions between spaces.…

Algebraic Topology · Mathematics 2023-11-29 Jian Liu , Dong Chen , Guo-Wei Wei

We argue that some supersymmetric multiplets can naturally be equipped with the structure of an open-closed homotopy algebra. This structure is readily described through the pure spinor superfield formalism, which in particular associates a…

Mathematical Physics · Physics 2024-08-28 Simon Jonsson

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

We construct mappings that send solutions of the cubic and non-polynomial open superstring field theories to each other. We prove that the action is invariant under the maps and that gauge orbits are mapped into gauge orbits. It follows…

High Energy Physics - Theory · Physics 2014-11-18 Ehud Fuchs , Michael Kroyter

We propose a new type of interaction of closed superstrings with the electromagnetic field, other than the usual Kaluza-Klein type or a gauge field with internal gauge group origin. This model with a constant magnetic field is also shown to…

High Energy Physics - Theory · Physics 2010-02-09 Akira Kokado , Gaku Konisi , Takesi Saito

We study generic properties of string theory effective actions obtained by classically integrating out massive excitations from string field theories based on cyclic homotopy algebras of $A_\infty$ or $L_\infty$ type. We construct…

High Energy Physics - Theory · Physics 2020-12-30 Harold Erbin , Carlo Maccaferri , Martin Schnabl , Jakub Vošmera

We outline the construction of type II superstring field theory leading to a geometric and algebraic BV master equation, analogous to Zwiebach's construction for the bosonic string. The construction uses the small Hilbert space. Elementary…

High Energy Physics - Theory · Physics 2013-05-13 Branislav Jurco , Korbinian Muenster

We endow the category of bialgebras over a pair of operads in distribution with a cofibrantly generated model category structure. We work in the category of chain complexes over a field of characteristic zero. We split our construction in…

Algebraic Topology · Mathematics 2013-09-27 Sinan Yalin

We construct the Neveu-Schwarz sector of heterotic string field theory using the large Hilbert space of the superghosts and the multi-string products of bosonic closed string field theory. No picture-changing operators are required as in…

High Energy Physics - Theory · Physics 2009-11-10 Yuji Okawa , Barton Zwiebach

We investigate algebraic structure of light-cone string field theory which respects the spacetime supersymmetry su(2|2). Extracting building blocks from the explicit oscillator expressions of light-cone superstring field theory on the…

High Energy Physics - Theory · Physics 2011-06-24 Isao Kishimoto , Sanefumi Moriyama