D-instanton Perturbation Theory

Abstract

D-instanton world-volume theory has open string zero modes describing collective coordinates of the instanton. The usual perturbative amplitudes in the D-instanton background suffer from infra-red divergences due to the presence of these zero modes, and the usual approach of analytic continuation in momenta does not work since all open string states on a D-instanton carry strictly zero momentum. String field theory is well-suited for tackling these issues. However we find a new subtlety due to the existence of additional zero modes in the ghost sector. This causes a breakdown of the Siegel gauge, but a different gauge fixing consistent with the BV formalism renders the perturbation theory finite and unambiguous. At each order, this produces extra contribution to the amplitude besides what is obtained from integration over the moduli space of Riemann surfaces.

arXiv commentLaTeX file, 24 pages; v2: expanded discussion on ghost zero modes

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• Divergent to Complex Amplitudes in Two Dimensional String Theory
• The classical cosmological constant of open-closed string field theory
• Cutkosky Rules and Unitarity (Violation) in D-instanton Amplitudes
• Open string stub as an auxiliary string field
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• Closed string deformations in open string field theory I: bosonic string
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• The complex Liouville string: worldsheet boundaries and non-perturbative effects
• Hypermultiplet metric and NS5-instantons
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• What U Can Do: New Solutions and New Challenges Beyond Leading Order
• Multi-instantons in 2d string theory