P
Pierre Mathieu
Researcher at Laval University
Publications - 165
Citations - 6584
Pierre Mathieu is an academic researcher from Laval University. The author has contributed to research in topics: Minimal models & Superspace. The author has an hindex of 30, co-authored 164 publications receiving 6309 citations.
Papers
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Book
Conformal Field Theory
TL;DR: This paper developed conformal field theory from first principles and provided a self-contained, pedagogical, and exhaustive treatment, including a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algesas.
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Extended Classical Conformal Algebras and the Second Hamiltonian Structure of Lax Equations
TL;DR: In this article, it was shown that extended classical conformal algebras can be obtained from the second hamiltonian structure of Lax equations for a Lax operator of order n, i.e. L(n)=∂xn+Σi=0n−2ui∂xi.
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$N=2$ Superconformal Algebra and Integrable O(2) Fermionic Extensions of the Korteweg-de Vries Equation
C.-A. Laberge,Pierre Mathieu +1 more
TL;DR: The N = 2 superconformal algebra is related to the second hamiltonian structure of three integrable fermionic extensions of the Korteweg-de Vries equation as mentioned in this paper.
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From percolation to logarithmic conformal field theory
Pierre Mathieu,David Ridout +1 more
TL;DR: In this paper, the smallest deformation of the minimal model M ( 2, 3 ) that can accommodate Cardy's derivation of the percolation crossing probability is presented, which leads to a consistent logarithmic conformal field theory at c = 0.
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Structure of the Conservation Laws in Quantum Integrable Spin Chains with Short Range Interactions
M.P. Grabowski,Pierre Mathieu +1 more
TL;DR: In this article, a detailed analysis of the structure of the conservation laws in quantum integrable chains of the XYZ-type and in the Hubbard model is presented, with the help of the boost operator, which provides a recursive way of calculating the integrals of motion.