Integrability in SFT and new representation of KP tau-function
High Energy Physics - Theory
2010-02-03 v2 Exactly Solvable and Integrable Systems
Abstract
We are investigating the properties of vacuum and boundary states in the CFT of free bosons under the conformal transformation. We show that transformed vacuum (boundary state) is given in terms of tau-functions of dispersionless KP (Toda) hierarchies. Applications of this approach to string field theory is considered. We recognize in Neumann coefficients the matrix of second derivatives of tau-function of dispersionless KP and identify surface states with the conformally transformed vacuum of free field theory.
Keywords
Cite
@article{arxiv.hep-th/0211010,
title = {Integrability in SFT and new representation of KP tau-function},
author = {Alexey Boyarsky and Oleg Ruchayskiy},
journal= {arXiv preprint arXiv:hep-th/0211010},
year = {2010}
}
Comments
25 pp, LaTeX, reference added in the Section 3.1