Some exact results on the matter star-product in the half-string formalism

Abstract

We show that the D25 sliver wavefunction, just as the D-instanton sliver, factorizes when expressed in terms of half-string coordinates. We also calculate analytically the star-product of two zero-momentum eigenstates of $\hat{x}$ using the vertex in the oscillator basis, thereby showing that the star-product in the matter sector can indeed be seen as multiplication of matrices acting on the space of functionals of half strings. We then use the above results to establish that the matrices ${\rho }_{1,2}$, conjectured by Rastelli, Sen and Zwiebach to be left and right projectors on the sliver, are indeed so.

27 pages; footnote added

References in corpus (6)

• Split string field theory I
• Boundary CFT Construction of D-branes in Vacuum String Field Theory
• Split string field theory II
• Comma Vertex and String Field Algebra
• Open String Fields As Matrices
• Oscillator Representation of the BCFT Construction of D-branes in Vacuum String Field Theory

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• CFT Description of Identity String Field: Toward Derivation of the VSFT Action
• String theory as a diffusing system
• Dressed Sliver solutions in Vacuum String Field Theory
• The Perturbative Spectrum of the Dressed Sliver
• Bubbling AdS and Vacuum String Field Theory
• Stretched strings in tachyon condensation models
• Ghost Sector of Vacuum String Field Theory and the Projection Equation