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arXiv · hep-th/9306126

$SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents

Sasanka Ghosh·Samir K. Paul
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Abstract

It is shown that $SL(n,R)$ KdV hierarchy can be expressed as definite nonpolynomials in Kac Moody currents and their derivatives by the action of Borel subgroup of $SL(n,R)$ on the phase space of centrally extended $sl(n,R)$ Kac Moody currents. Construction of Lax pair is shown, confirming Drinfeld Sokolov type Hamiltonian reduction. This suggests an example of a moduli space with symplectic structure corresponding to extended conformal symmetries.

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Sasanka Ghosh, Samir K. Paul. 1993-06-24. $SL(n,R)$ KDV Hierarchy and its Nonpolynomial Realization Through Kac-Moody Currents. https://arxiv.org/abs/hep-th/9306126

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