String theories and Hirota’s bilinear difference equation
- 19 October 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 59 (16) , 1798-1801
- https://doi.org/10.1103/physrevlett.59.1798
Abstract
The ratio of an N-point p-loop string amplitude to the N-point tree amplitude is shown to solve Hirota’s bilinear difference equation which is satisfied by all solutions to the Kadomtsev-Petviashvili hierarchy. Evolution of solutions is determined by Koba-Nielsen variables and external momenta. Fay’s trisecant formula emerges as a result.Keywords
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