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arXiv · hep-th/9511091

The Zero Curvature Formulation of TB, sTB Hierarchy and Topological Algebras

Ashok Das·Shibaji Roy
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Abstract

A particular dispersive generalization of long water wave equation in $1+1$ dimensions, which is important in the study of matrix models without scaling limit, known as two--Boson (TB) equation, as well as the associated hierarchy has been derived from the zero curvature condition on the gauge group $SL(2,R)\otimes U(1)$. The supersymmetric extension of the two--Boson (sTB) hierarchy has similarly been derived from the zero curvature condition associated with the gauge supergroup $OSp(2|2)$. Topological algebras arise naturally as the second Hamiltonian structure of these classical integrable systems, indicating a close relationship of these models with 2d topological field theories.

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Ashok Das, Shibaji Roy. 1995-11-13. The Zero Curvature Formulation of TB, sTB Hierarchy and Topological Algebras. https://doi.org/10.1142/s0217732396001326

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