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Journal of High Energy Physics Volume 2009 JHEP11(2009) Create an alert RSS this journal

L. Bonora et al JHEP11(2009)086 doi:10.1088/1126-6708/2009/11/086

Ghost story. III. Back to ghost number zero

L. Bonoraa,b, C. Maccaferric and D.D. Tollad

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Abstract References Cited By
After having defined a 3-strings midpoint-inserted vertex for the bc system, we analyze the relation between gh=0 states (wedge states) and gh=3 midpoint duals. We find explicit and regular relations connecting the two objects. In the case of wedge states this allows us to write down a spectral decomposition for the gh=0 Neumann matrices, despite the fact that they are not commuting with the matrix representation of K1. We thus trace back the origin of this noncommutativity to be a consequence of the imaginary poles of the wedge eigenvalues in the complex κ-plane. With explicit reconstruction formulas at hand for both gh=0 and gh=3, we can finally show how the midpoint vertex avoids this intrinsic noncommutativity at gh=0, making everything as simple as the zero momentum matter sector.

Keywords

String Field Theory

Tachyon Condensation

BRST Symmetry

PACS

11.25.Sq Nonperturbative techniques; string field theory

02.10.Yn Matrix theory

02.10.Ud Linear algebra

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 11 (November 2009)

Received 27 August 2009, accepted for publication 1 November 2009

Published 19 November 2009



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