Ghost Structure and Closed Strings in Vacuum String Field Theory

Abstract

We complete the construction of vacuum string field theory by proposing a canonical choice of ghost kinetic term -- a local insertion of the ghost field at the string midpoint with an infinite normalization. This choice, supported by level expansion studies in the Siegel gauge, allows a simple analytic treatment of the ghost sector of the string field equations. As a result, solutions are just projectors, such as the sliver, of an auxiliary CFT built by combining the matter part with a twisted version of the ghost conformal theory. Level expansion experiments lead to surprising new projectors -- butterfly surface states, whose analytical expressions are obtained. With the help of a suitable open-closed string vertex we define open-string gauge invariant operators parametrized by on-shell closed string states. We use regulated vacuum string field theory to sketch how pure closed string amplitudes on surfaces without boundaries arise as correlators of such gauge invariant operators.

50 pages, LaTeX, 4 figures

References in corpus (5)

• Introduction to string field theory
• Split string field theory I
• The singular geometry of the sliver
• Siegel Gauge in Vacuum String Field Theory
• On Field Theory of Open Strings, Tachyon Condensation and Closed Strings

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