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4 papers · 2 filters
Integrability of the quantum KdV equation at c = -2
P. Di Francesco, P. Mathieu, D. Senechal
We present a simple a direct proof of the complete integrability of the quantum KdV equation at , with an explicit description of all the conservation laws.
On the classical algebras
D. A. Depireux, P. Mathieu
We analyze the W_N^l algebras according to their conjectured realization as the second Hamiltonian structure of the integrable hierarchy resulting from the interchange of x and t i…
Field Identification in Non-Unitary Diagonal Cosets
Pierre Mathieu, David Senechal, Mark Walton
We study the nonunitary diagonal cosets constructed from admissible representations of Kac-Moody algebras at fractional level, with an emphasis on the question of field identificat…
Singular Vectors and Conservation Laws of Quantum KdV type equations
P. Di Francesco, P. Mathieu
We give a direct proof of the relation between vacuum singular vectors and conservation laws for the quantum KdV equation or equivalently for -perturbed conformal field…