Type II superstring field theory: geometric approach and operadic description

A bstract 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 vertices of the non-polynomial action are describe...

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Published inThe journal of high energy physics Vol. 2013; no. 4; pp. 1 - 37
Main Authors Jurco, Branislav, Münster, Korbinian
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2013
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Construction
Elementary Particles
Field theory
High energy physics
Lie groups
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Strings
Towers
String Field Theory
Superstrings and Heterotic Strings
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Summary:A bstract 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 vertices of the non-polynomial action are described with the help of a properly formulated minimal area problem. They give rise to an infinite tower of superstring field products defining a = 1 generalization of a loop homotopy Lie algebra, the genus zero part generalizing a homotopy Lie algebra. Finally, we give an operadic interpretation of the construction.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2013)126