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We continue our study of effective field theory via homotopy transfer of $L_\infty$-algebras, and apply it to tree-level non-Wilsonian effective actions of the kind discussed by Sen in which the modes integrated out are comparable in mass…

High Energy Physics - Theory · Physics 2021-07-08 Alex S. Arvanitakis , Olaf Hohm , Chris Hull , Victor Lekeu

We construct open-closed superstring interactions based on the open-closed homotopy algebra structure. It provides a classical open superstring field theory on general closed-superstring-field backgrounds described by classical solutions of…

High Energy Physics - Theory · Physics 2022-08-29 Hiroshi Kunitomo

By integrating out the heavy fields in type II or heterotic string field theory one can construct the effective action for the light fields. This effective theory inherits all the algebraic structures of the parent theory and the effective…

High Energy Physics - Theory · Physics 2017-03-08 Ashoke Sen

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 use the dictionary between general field theories and strongly homotopy algebras to provide an algebraic formulation of the procedure of integrating out of degrees of freedom in terms of homotopy transfer. This includes more general…

High Energy Physics - Theory · Physics 2020-08-11 Alex S. Arvanitakis , Olaf Hohm , Chris Hull , Victor Lekeu

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

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

We construct a complete type II superstring field theory that includes all the NS-NS, R-NS, NS-R and R-R sectors. As in the open and heterotic superstring cases, the R-NS, NS-R and R-R string fields are constrained by using the…

High Energy Physics - Theory · Physics 2020-04-08 Hiroshi Kunitomo , Tatsuya Sugimoto

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 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

A fundamental task for the heterotic superstring theory is the determination of the effective action describing the physics of massless string excitations at low energies. This is necessary for the phenomenological applications of string…

High Energy Physics - Theory · Physics 2007-05-23 T. R. Taylor

We consider the algebraic couplings in the tree level effective action of the heterotic string. We show how these couplings can be computed from closed string field theory. When the light fields we are interested in are charged under an…

High Energy Physics - Theory · Physics 2020-03-18 Harold Erbin , Carlo Maccaferri , Jakub Vošmera

We consider the algebraic effective couplings for open superstring massless modes in the framework of the $A_\infty$ theory in the small Hilbert space. Focusing on quartic algebraic couplings, we reduce the effective action of the…

High Energy Physics - Theory · Physics 2019-06-04 Carlo Maccaferri , Alberto Merlano

We reconstruct a complete type II superstring field theory with L-infinity structure in a symmetric way concerning the left- and right-moving sectors. Based on the new construction, we show again that the tree-level S-matrix agrees with…

High Energy Physics - Theory · Physics 2021-09-15 Hiroshi Kunitomo

In this letter we establish that the supersymmetric R^2 effective action for the heterotic string, obtained from the supersymmetrisation of the Lorentz Chern-Simons term, is to order $\alpha'$ equivalent modulo field redefinitions to…

High Energy Physics - Theory · Physics 2008-11-26 W. A. Chemissany , Mees de Roo , Sudhakar Panda

Sen's superstring field theory successfully formulates perturbative superstring theory but has a number of unusual features. The action is not background independent and the resulting effective field theory does not appear to have standard…

High Energy Physics - Theory · Physics 2026-02-27 Chris Hull

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

The heterotic and type II superstring actions are identified in different anomaly-free decompositions of a single topological sigma-model action depending on bosonic and fermionic coordinates, $X^\mu$ and $\r^A$ respectively, and of their…

High Energy Physics - Theory · Physics 2009-10-30 Laurent Baulieu , Michael B. Green , Eliezer Rabinovici

We review and develop the general properties of $L_\infty$ algebras focusing on the gauge structure of the associated field theories. Motivated by the $L_\infty$ homotopy Lie algebra of closed string field theory and the work of Roytenberg…

High Energy Physics - Theory · Physics 2017-04-26 Olaf Hohm , Barton Zwiebach

We determine the reality conditions on the string fields that make the action for heterotic and type II string field theories real.

High Energy Physics - Theory · Physics 2016-11-23 Ashoke Sen
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