activity
19982010
most citedTwisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries

41 citations · 125 across the 10 of their papers we have counts for

collaborators

10 papers

math.QA2010★ 5 cited

Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells

Robert Coquereaux, Esteban Isasi, Gil Schieber

After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of triangular cells on fusi…

math.QA2008★ 10 cited

Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings

Robert Coquereaux, Gil Schieber

Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion.…

math-ph2007★ 15 cited

From conformal embeddings to quantum symmetries: an exceptional SU(4) example

Robert Coquereaux, Gil Schieber

We briefly discuss several algebraic tools that are used to describe the quantum symmetries of Boundary Conformal Field Theories on a torus. The starting point is a fusion category…

math-ph2006★ 10 cited

Orders and dimensions for sl(2) or sl(3) module categories and Boundary Conformal Field Theories on a torus

Robert Coquereaux, Gil Schieber

After giving a short description, in terms of action of categories, of some of the structures associated with sl(2) and sl(3) boundary conformal field theories on a torus, we provi…

math-ph2006★ 4 cited

From modular invariants to graphs: the modular splitting method

E. Isasi, Gil Schieber

We start with a given modular invariant M of a two dimensional su(n)_k conformal field theory (CFT) and present a general method for solving the Ocneanu modular splitting equation…

math-ph2005★ 16 cited

Comments about quantum symmetries of SU(3) graphs

R. Coquereaux, D. Hammaoui, G. Schieber +1

For the SU(3) system of graphs generalizing the ADE Dynkin digrams in the classification of modular invariant partition functions in CFT, we present a general collection of algebra…