Normalization of D-instanton Amplitudes

Abstract

D-instanton amplitudes suffer from various infrared divergences associated with tachyonic or massless open string modes, leading to ambiguous contribution to string amplitudes. It has been shown previously that string field theory can resolve these ambiguities and lead to unambiguous expressions for D-instanton contributions to string amplitudes, except for an overall normalization constant that remains undetermined. In this paper we show that string field theory, together with the world-sheet description of the amplitudes, can also fix this normalization constant. We apply our analysis to the special case of two dimensional string theory, obtaining results in agreement with the matrix model results obtained by Balthazar, Rodriguez and Yin.

LaTeX file, 20 pages; v2: minor clarifications and references added

References in corpus (3)

• The boundary state from open string fields
• D-instantons, String Field Theory and Two Dimensional String Theory
• Multi-Instanton Calculus in c = 1 String Theory

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• D-instanton Induced Superpotential
• The ZZ annulus one-point function in non-critical string theory: A string field theory analysis
• Normalization of D instanton amplitudes in two dimensional type 0B string theory
• The S-Matrix of 2D Type 0B String Theory Part 2: D-Instanton Effects
• D-instanton, threshold corrections, and topological string
• The complex Liouville string: worldsheet boundaries and non-perturbative effects
• Type II superstring field theory revisited