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Type II superstring field theory: geometric approach and operadic description

Publication at Faculty of Mathematics and Physics |
2013

Abstract

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 in finite tower of superstring field products de fining a N = 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.