Relating Berkovits and $A_{\infty }$ Superstring Field Theories; Large Hilbert Space Perspective

Abstract

We lift the dynamical field of the $A_{\infty }$ superstring field theory to the large Hilbert space by introducing a gauge invariance associated with the eta zero mode. We then provide a field redefinition which relates the lifted field to the dynamical field of Berkovits' superstring field theory in the large Hilbert space. This generalizes the field redefinition in the small Hilbert space described in earlier works, and gives some understanding of the relation between the gauge symmetries of the theories. It also provides a new perspective on the algebraic structure underlying gauge invariance of the Wess-Zumino-Witten-like action.

V2: 32 pages, 1 figure. Some enlightening formal developments concerning the structure of the WZW-like action

References in corpus (7)

• BV Master Action for Heterotic and Type II String Field Theories
• NS-NS Sector of Closed Superstring Field Theory
• Ramond Equations of Motion in Superstring Field Theory
• $A_{\infty }$ structure from the Berkovits formulation of open superstring field theory
• Relating Berkovits and $A_{\infty }$ Superstring Field Theories; Small Hilbert Space Perspective
• On-shell equivalence of two formulations for superstring field theory
• Relation between the Reducibility Structures and between the Master Actions in the Witten Formulation and the Berkovits Formulation of Open Superstring Field Theory

Cited by in corpus (8)

• Closed Superstring Field Theory and its Applications
• Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure
• Open superstring field theory based on the supermoduli space
• Open string stub as an auxiliary string field
• Construction of action for heterotic string field theory including the Ramond sector
• Closed string deformations in open string field theory II: superstring
• Fermion scattering amplitudes from gauge-invariant actions for open superstring field theory
• Open superstring field theory including the Ramond sector based on the supermoduli space