Vacuum String Field Theory

TL;DR

This paper reviews vacuum string field theory, focusing on the stable vacuum, the sliver state as a projector, and the construction of D-brane solutions using algebraic and geometrical methods.

Contribution

It provides a comprehensive overview of vacuum string field theory, highlighting the role of the sliver state and boundary CFT in constructing D-brane solutions.

Findings

Sliver state acts as a projector in half-string functionals.

Construction of D-brane solutions via algebraic and geometrical approaches.

Emphasizes the role of boundary CFT in vacuum string field theory.

Abstract

This is a brief review of vacuum string field theory, a new approach to open string field theory based on the stable vacuum of the tachyon. We discuss the sliver state explaining its role as a projector in the space of half-string functionals. We review the construction of D-brane solutions in vacuum string field theory, both in the algebraic approach and in the more general geometrical approach that emphasizes the role of boundary CFT. -- To appear in the Proceedings of Strings 2001, Mumbai, India.