On Superstring Disk Amplitudes in a Rolling Tachyon Background

Abstract

We study the tree level scattering or emission of n closed superstrings from a decaying non-BPS brane in Type II superstring theory. We attempt to calculate generic n-point superstring disk amplitudes in the rolling tachyon background. We show that these can be written as infinite power series of Toeplitz determinants, related to expectation values of a periodic function in Circular Unitary Ensembles. Further analytical progress is possible in the special case of bulk-boundary disk amplitudes. These are interpreted as probability amplitudes for emission of a closed string with initial conditions perturbed by the addition of an open string vertex operator. This calculation has been performed previously in bosonic string theory, here we extend the analysis for superstrings. We obtain a result for the average energy of closed superstrings produced in the perturbed background.

15 pages, LaTeX2e; uses latexsym, amssymb, amsmath, slashed macros; (v2): references added, some typo fixes; (v3): reference added

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Cited by in corpus (21)

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• A Thermodynamic Interpretation of Time for Rolling Tachyons
• String Mass Shifts
• The Hilbert series of U/SU SQCD and Toeplitz Determinants
• Timelike Boundary Sine-Gordon Theory and Two-Component Plasma
• The Hilbert series of N=1 SO(N_c) and Sp(N_c) SQCD, Painlevé VI and Integrable Systems
• N-point functions in rolling tachyon background
• The Final Fate of the Rolling Tachyon
• A Thermodynamic Interpretation of Time for Superstring Rolling Tachyons
• Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action
• Electrostatics of Coulomb gas, lattice paths, and discrete polynuclear growth
• Disk Partition Function and Oscillatory Rolling Tachyons
• New results for the SQCD Hilbert series
• Moduli space of supersymmetric QCD in the Veneziano limit
• Electrostatics approach to closed string pair production from a decaying D-brane
• The Partition Function of a Multi-Component Coulomb Gas on a Circle
• Inhomogeneous tachyon dynamics and the zipper
• The energy-momentum tensor of perturbed tachyon matter
• High-energy asymptotics of D-brane decay amplitudes from Coulomb gas electrostatics
• Time-dependent Backgrounds in String Theory and Dualities
• Entropy of String States at fixed Mass and Size