Scattering in the adjoint sector of the c = 1 Matrix Model

TL;DR

This paper analyzes the interaction between long strings and closed string tachyons in Liouville string theory by computing the exact collective field Hamiltonian in the adjoint sector of the c=1 matrix model, revealing precise emission amplitudes.

Contribution

It provides the first exact computation of the collective field Hamiltonian in the adjoint sector for the c=1 matrix model related to long string interactions.

Findings

Exact collective field Hamiltonian derived for the adjoint sector.

Closed-form amplitude for single tachyon emission obtained.

Insights into long string and tachyon interactions in Liouville string theory.

Abstract

Closed string tachyon emission from a traveling long string in Liouville string theory is studied. The exact collective field Hamiltonian in the adjoint sector of the c=1 matrix model is computed to capture the interaction between the tip of the long string and the closed string tachyon field. The amplitude for emission of a single tachyon quantum is obtained in a closed form using the chiral formalism.