Type II superstring field theory: geometric approach and operadic description

Open Access
Article

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 infinite tower of superstring field products defining a \( \mathcal{N} \) = 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.

Keywords

Superstrings and Heterotic Strings String Field Theory 

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Copyright information

© SISSA 2013

Authors and Affiliations

  1. 1.Mathematical Institute, Faculty of Mathematics and PhysicsCharles UniversityPraha 8Czech Republic
  2. 2.CERN, Theory DivisionGeneva 23Switzerland
  3. 3.Arnold Sommerfeld Center for Theoretical PhysicsMunichGermany

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