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We investigate space-time supersymmetry in the WZW-like open superstring field theory, whose complete action was recently constructed. Starting from a natural space-time supersymmetry transformation at the linearized level, we construct a…

High Energy Physics - Theory · Physics 2019-12-06 Hiroshi Kunitomo

A consistent action for heterotic and type II superstring field theory was recently proposed by Sen. We give an algebraic formulation of this action in terms of certain twisted $L_\infty$-algebra. We further show that Sen's Wilsonian…

High Energy Physics - Theory · Physics 2024-12-05 Ranveer Kumar Singh

We prove the decomposition theorem for the loop homotopy algebra of quantum closed string field theory and use it to show that closed string field theory is unique up to gauge transformations on a given string background and given S-matrix.…

High Energy Physics - Theory · Physics 2012-08-29 Korbinian Muenster , Ivo Sachs

We revisit the existence, background independence and uniqueness of closed, open and open-closed bosonic- and topological string field theory, using the machinery of homotopy algebra. In a theory of classical open- and closed strings, the…

Quantum Algebra · Mathematics 2013-09-12 Korbinian Muenster , Ivo Sachs

This is the second paper of a series of three. We construct effective open-closed superstring couplings by classically integrating out massive fields from open superstring field theories coupled to an elementary gauge invariant tadpole…

High Energy Physics - Theory · Physics 2021-09-29 Carlo Maccaferri , Jakub Vošmera

We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is related to the situation of Kontsevich's…

Quantum Algebra · Mathematics 2009-11-10 Hiroshige Kajiura , Jim Stasheff

We show that the tree-level S-matrices of the superstring field theories based on the homotopy-algebra structure agree with those obtained in the first-quantized formulation. The proof is given in detail for the heterotic string field…

High Energy Physics - Theory · Physics 2021-04-07 Hiroshi Kunitomo

We complete the construction of the Neveu-Schwarz sector of heterotic string field theory begun in hep-th/0406212 by giving a closed-form expression for the action and gauge transformations. Just as the Wess-Zumino-Witten (WZW) action for…

High Energy Physics - Theory · Physics 2008-11-26 Nathan Berkovits , Yuji Okawa , Barton Zwiebach

I review the construction of an action for open superstring field theory which does not suffer from the contact term problems of other approaches. I also discuss a possible generalization of this action for closed superstring field theory.

High Energy Physics - Theory · Physics 2015-06-26 Nathan Berkovits

This is an expanded and updated version of a talk given at the Conference on Topics in Geometry and Physics at the University of Southern California, November 6, 1992. It is a survey talk, aimed at mathematicians AND physicists, which…

High Energy Physics - Theory · Physics 2007-05-23 Jim Stasheff

By use of geometrical methods of surface theory we demonstrate links of Green-Schwarz superstring dynamics with supersymmetric exactly-solvable nonlinear systems and super-WZNW models reduced in an appropriate way.

High Energy Physics - Theory · Physics 2007-05-23 Dmitri Sorokin

The possible tensor constructions of open string theories are analyzed from first principles. To this end the algebraic framework of open string field theory is clarified, including the role of the homotopy associative A_\infty algebra, the…

High Energy Physics - Theory · Physics 2009-10-30 Matthias R. Gaberdiel , Barton Zwiebach

We reformulate the algebraic structure of Zwiebach's quantum open-closed string field theory in terms of homotopy algebras. We call it the quantum open-closed homotopy algebra (QOCHA) which is the generalization of the open-closed homotopy…

High Energy Physics - Theory · Physics 2015-05-30 Korbinian Muenster , Ivo Sachs

Barton Zwiebach constructed the `string products' on the Hilbert space of combined conformal field theory of matter and ghosts. It is well-known that the `tree level' specialization of these products forms a strongly homotopy Lie algebra. A…

High Energy Physics - Theory · Physics 2009-10-30 Martin Markl

Homotopy algebra and its involutive generalisation plays an important role in the construction of string field theory. I will review recent progress in these applications of homotopy algebra and its relation to moduli spaces.

High Energy Physics - Theory · Physics 2021-07-28 Ivo Sachs

We complete the construction of a gauge-invariant action for NS-NS superstring field theory in the large Hilbert space begun in arXiv:1305.3893 by giving a closed-form expression for the action and nonlinear gauge transformations. The…

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

We construct Lorentz invariant and gauge invariant 1PI effective action for closed and open superstrings and demonstrate that it satisfies the classical BV master equation. We also construct the quantum master action for this theory…

High Energy Physics - Theory · Physics 2019-12-04 Seyed Faroogh Moosavian , Ashoke Sen , Mritunjay Verma

We describe a notion of "higher" Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the action is characterized by a pair of commuting…

High Energy Physics - Theory · Physics 2017-10-23 Theodore Erler

There is an interpretation of open string field theory in algebraic topology. An interpretation of closed string field theory can be deduced from this open string theory to obtain as well the interpretation of open and closed string field…

Quantum Algebra · Mathematics 2007-05-23 Dennis Sullivan

Using a Hamiltonian approach, we construct the classical and quantum theory of open WZW strings on a strip. (These are the strings which end on WZW branes.) The development involves non-abelian generalized Dirichlet images in an essential…

High Energy Physics - Theory · Physics 2014-11-18 S. Giusto , M. B. Halpern
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