1.3k citations · 3k across the 62 of their papers we have counts for
18 papers · 1 filter
OPE for XXX
Philippe Di Francesco, Fedor Smirnov
We explain a new method for finding the correlation functions for the XXX model which is based on the concepts of Operator Product Expansion of Quantum Field Theory on one hand and…
Generalized Lorentzian Triangulations and the Calogero Hamiltonian
P. Di Francesco, E. Guitter, C. Kristjansen
We introduce and solve a generalized model of 1+1D Lorentzian triangulations in which a certain subclass of outgrowths is allowed, the occurrence of these being governed by a coupl…
Integrable 2D Lorentzian Gravity and Random Walks
P. Di Francesco, E. Guitter, C. Kristjansen
We introduce and solve a family of discrete models of 2D Lorentzian gravity with higher curvature, which possess mutually commuting transfer matrices, and whose spectral parameter…
New Integrable Lattice Models From Fuss-Catalan Algebras
P. Di Francesco
We construct new trigonometric solutions of the Yang-Baxter equation, using the Fuss-Catalan algebras, a set of multi-colored versions of the Temperley-Lieb algebra, recently intro…
SU(N) Meander Determinants
P. Di Francesco
We propose a generalization of meanders, i.e., configurations of non-selfintersecting loops crossing a line through a given number of points, to SU(N). This uses the reformulation…
Meander Determinants
P. Di Francesco
We prove a determinantal formula for quantities related to the problem of enumeration of (semi-) meanders, namely the topologically inequivalent planar configurations of non-self-i…
Meanders: A Direct Enumeration Approach
P. Di Francesco, O. Golinelli, E. Guitter
We study the statistics of semi-meanders, i.e. configurations of a set of roads crossing a river through n bridges, and possibly winding around its source, as a toy model for compa…
Meanders and the Temperley-Lieb algebra
P. Di Francesco, O. Golinelli, E. Guitter
The statistics of meanders is studied in connection with the Temperley-Lieb algebra. Each (multi-component) meander corresponds to a pair of reduced elements of the algebra. The as…
Meander, Folding and Arch Statistics
P. Di Francesco, O. Golinelli, E. Guitter
The statistics of meander and related problems are studied as particular realizations of compact polymer chain foldings. This paper presents a general discussion of these topics, w…
Laughlin's wave functions, Coulomb gases and expansions of the discriminant
P. Di Francesco, M. Gaudin, C. Itzykson +1
In the context of the fractional quantum Hall effect, we investigate Laughlin's celebrated ansatz for the groud state wave function at fractional filling of the lowest Landau level…
Elliptic Genera and the Landau-Ginzburg Approach to N=2 Orbifolds
P. Di Francesco, O. Aharony, S. Yankielowicz
We compute the elliptic genera of orbifolds associated with super--conformal theories which admit a Landau-Ginzburg description. The identification of the elliptic genera of…
Graph Rings and Integrable Perturbations of Superconformal Theories
P. Di Francesco, F. Lesage, J. -B. Zuber
We show that the connection between certain integrable perturbations of superconformal theories and graphs found by Lerche and Warner extends to a broader class. These pertur…
2D Gravity and Random Matrices
P. Di Francesco, P. Ginsparg, J. Zinn-Justin
We review recent progress in 2D gravity coupled to conformal matter, based on a representation of discrete gravity in terms of random matrices. We discuss the saddle point ap…
Ramond Sector Characters and N=2 Landau-Ginzburg Models
P. Di Francesco, S. Yankielowicz
We give a direct proof of the new "product" expression for the Ramond sector characters of N=2 minimal models recently suggested by E. Witten. Our construction allows us to general…
Fusion potentials I
P. Di Francesco, J. -B. Zuber
We reconsider the conjecture by Gepner that the fusion ring of a rational conformal field theory is isomorphic to a ring of polynomials in variables quotiented by an ideal of c…
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.
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…
World Sheet and Space Time Physics in Two Dimensional (Super) String Theory
P. Di Francesco, D. Kutasov
We show that tree level ``resonant'' tachyon scattering amplitudes, which define a sensible ``bulk'' S -- matrix in critical (super) string theory in any dimension, have a simp…