Integrable deformations of CFTs and the discrete Hirota equations

Details Integrable deformations of CFTs and the discrete Hirota equations Integrable deformations of CFTs and the discrete Hirota equations

2009-05-24

arxiv.org/abs/0905.3776v2

Physics

High Energy Physics

High Energy Physics - Theory

This is a more recent version of a previous submission

Scientific paper

We solve the discrete Hirota equations (Kirillov-Reshetikhin Q-systems) for $A_r$, and their analogue for $D_r$, for the cases where the second variable ranges over either a finite set or over all integers. Until now only special solutions were known. We find all solutions for which no component vanishes, as required in the known applications. As an introduction we present the known solution where the second variable ranges over the natural numbers.

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