activity
19942025
most citedOn the Classification of Bulk and Boundary Conformal Field Theories

108 citations · 404 across the 7 of their papers we have counts for

collaborators

7 papers

math-ph2025

Finite precursors of the free cumulants

Sylvain Lacroix, Jean-Bernard Zuber

We study invariant polynomials on the space of matrices first introduced by Capitaine and Casalis, that are precursors of free cumulants in various resp…

math-ph2006★ 33 cited

Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups

A. Prats Ferrer, B. Eynard, P. Di Francesco +1

The Harish-Chandra correlation functions, i.e. integrals over compact groups of invariant monomials prod tr{X^{p_1} Omega Y^{q_1} Omega^dagger X^{p_2} ... with the weight exp tr{X…

hep-th2001★ 43 cited

Conformal Boundary Conditions and what they teach us

V. B. Petkova, J. -B. Zuber

The question of boundary conditions in conformal field theories is discussed, in the light of recent progress. Two kinds of boundary conditions are examined, along open boundaries…

hep-th2001★ 94 cited

The many faces of Ocneanu cells

V. B. Petkova, J. -B. Zuber

We define generalised chiral vertex operators covariant under the Ocneanu ``double triangle algebra'' {\cal A}, a novel quantum symmetry intrinsic to a given rational 2-d conformal…

hep-th1998★ 108 cited

On the Classification of Bulk and Boundary Conformal Field Theories

R. Behrend, P. Pearce, V. Petkova +1

The classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions. Solving Cardy's equation expressing the consistency condition on…

hep-th1995★ 55 cited

From CFT's to Graphs

V. B. Petkova, J. -B. Zuber

In this paper, we pursue the discussion of the connections between rational conformal field theories (CFT) and graphs. We generalize our recent work on the relations of operator pr…