Integrable Structures in String Field Theory
高能物理 - 理论
2010-04-05 v2 数学物理
math.MP
可精确求解与可积系统
摘要
We give a simple proof that the Neumann coefficients of surface states in Witten's SFT satisfy the Hirota equations for dispersionless KP hierarchy. In a similar way we show that the Neumann coefficients for the three string vertex in the same theory obey the Hirota equations of the dispersionless Toda Lattice hierarchy. We conjecture that the full (dispersive) Toda Lattice hierachy and, even more attractively a two--matrix model, may underlie open SFT.
引用
@article{arxiv.hep-th/0211283,
title = {Integrable Structures in String Field Theory},
author = {L. Bonora and A. S. Sorin},
journal= {arXiv preprint arXiv:hep-th/0211283},
year = {2010}
}
备注
11 pages; v.2:some adjustments, some explicit equations added