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Publications Influence

Generalised twisted partition functions

- V. Petkova, J. Zuber
- Physics
- 3 November 2000

Abstract We consider the set of partition functions that result from the insertion of twist operators compatible with conformal invariance in a given 2D conformal field theory (CFT). A consistency… Expand

184 29- PDF

Addendum to the paper "Combinatorics of the modular group II: the Kontsevich integrals"

- C. Itzykson, J. Zuber
- Physics, Mathematics
- 31 December 1991

Addendum to the paper Combinatorics of the Modular Group II The Kontsevich integrals, hep-th/9201001, by C. Itzykson and J.-B. Zuber (3 pages)

159 23- PDF

Modular Invariant Partition Functions in Two-Dimensions

- A. Cappelli, C. Otzykson, J. Zuber
- Physics
- 1987

Abstract We present a systematic study of modular invariance of partition functions, relevant both for two-dimensional minimal conformal invariant theories and for string propagation on a SU(2) group… Expand

431 15

The many faces of Ocneanu cells

- V. Petkova, J. Zuber
- Physics
- 23 January 2001

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 field theory.… Expand

134 14- PDF

Remarks about the existence of non-local charges in two-dimensional models

- E. Brézin, C. Itzykson, J. Zinn-Justin, J. Zuber
- Physics
- 9 April 1979

Abstract A simple derivation of the classical non-local conservation laws in two dimensions discovered by Luscher and Pohlmeyer is given. Several classes of models are shown to possess the same… Expand

199 12

Matrix integration and combinatorics of modular groups

- C. Itzykson, J. Zuber
- Mathematics
- 1 November 1990

Integration over Gaussian matrix ensembles was used to obtain the virtual Euler characteristics of mapping class groups. We present some simplifications in the combinatorial part of the calculation.

69 9- PDF

On some integrals over the U(N) unitary group and their large N limit

- P. Zinn-Justin, J. Zuber
- Mathematics, Physics
- 10 September 2002

The integral over the U(N) unitary group I = ? DU exp Tr AU BU? is re-examined. Various approaches and extensions are first reviewed. The second half of the paper deals with more recent developments:… Expand

87 7- PDF

On the classification of bulk and boundary conformal field theories

- R. Behrend, P. Pearce, V. Petkova, J. Zuber
- Physics
- 14 September 1998

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

97 5- PDF

From CFT to graphs

- V. Petkova, J. Zuber
- Physics
- 24 October 1995

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

45 5- PDF

Conformal Invariance of Nonunitary 2d-Models.

- C. Itzykson, H. Saleur, J. Zuber
- Physics
- 15 July 1986

Finite-size effects for the free energy as well as the spectrum of the transfer matrix are modified in a specific way for nonunitary conformal invariant 2d-systems. We illustrate this behaviour in… Expand

50 3- PDF