Integrable Structures in String Field Theory

Details Integrable Structures in String Field Theory Integrable Structures in String Field Theory

2002-11-28

arxiv.org/abs/hep-th/0211283v2

Phys.Lett. B553 (2003) 317-324

Physics

High Energy Physics

High Energy Physics - Theory

11 pages; v.2:some adjustments, some explicit equations added

Scientific paper

10.1016/S0370-2693(02)03229-X

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.

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