Star Democracy in Open String Field Theory

Abstract

We study three types of star products in SFT: the ghosts, the twisted ghosts and the matter. We find that their Neumann coefficients are related to each other in a compact way which includes the Gross-Jevicki relation between matter and ghost sector: we explicitly show that the same relation, with a minus sign, holds for the twisted and nontwisted ghost (which are different but define the same solution). In agreement with this, we prove that matter and twisted ghost coefficients just differ by a minus sign. As a consistency check, we also compute the spectrum of the twisted ghost vertices from conformal field theory and, using equality of twisted and reduced slivers, we derive the spectrum of the non twisted ghost star.

20 pages, JHEP style v2: typos corrected, two references added

References in corpus (14)

• Tachyon Condensation on the Brane Antibrane System
• Descent Relations Among Bosonic D-branes
• Analytical construction of a nonperturbative vacuum for the open bosonic string
• Star Algebra Spectroscopy
• D-brane effective field theory from string field theory
• The singular geometry of the sliver
• Star Algebra Projectors
• Open String States around a Classical Solution in Vacuum String Field Theory
• Comma Vertex and String Field Algebra
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• Fermionic Ghosts in Moyal String Field Theory
• Witten's Vertex Made Simple
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Cited by in corpus (10)

• Analytical Solutions of Open String Field Theory
• String theory as a diffusing system
• Ghost story. I. Wedge states in the oscillator formalism
• Dressed Sliver solutions in Vacuum String Field Theory
• Normalization anomalies in level truncation calculations
• String Field Theory Projectors for Fermions of Integral Weight
• Ghost story. III. Back to ghost number zero
• On surface states and star-subalgebras in string field theory
• Ghost story. II. The midpoint ghost vertex
• Spectral properties of ghost Neumann matrices