 School of Mathematics and Statistics  Research Publications
School of Mathematics and Statistics  Research Publications
Permanent URI for this collection
12 results
Filters
Reset filtersSettings
Statistics
Citations
Search Results
Now showing
1  10 of 12

ItemExclusion statistics in conformal field theory and the UCPF for WZW modelsBouwknegt, P ; Chim, L ; Ridout, D (ELSEVIER, 20000424)

ItemConvergence properties of gradient descent noise reductionRidout, D ; Judd, K (ELSEVIER SCIENCE BV, 20020501)

ItemDbranes on group manifolds and fusion ringsBouwknegt, P ; Dawson, P ; Ridout, D (SPRINGER, 20021201)

ItemA note on the equality of algebraic and geometric Dbrane charges in WZW modelsBouwknegt, P ; Ridout, D (SPRINGER, 20040501)

ItemPresentations of WessZuminoWitten fusion ringsBouwknegt, P ; Ridout, D (WORLD SCIENTIFIC PUBL CO PTE LTD, 20060301)The fusion rings of the Wess–Zumino–Witten models are reexamined. Attention is drawn to the difference between fusion rings over ℤ (which are often of greater importance in applications) and fusion algebras over ℂ. Complete proofs are given by characterizing the fusion algebras (over ℂ) of the SU (r+1) and Sp (2r) models in terms of the fusion potentials, and it is shown that the analagous potentials cannot describe the fusion algebras of the other models. This explains why no other representationtheoretic fusion potentials have been found. Instead, explicit generators are then constructed for general WZW fusion rings (over ℤ). The Jacobi–Trudy identity and its Sp (2r) analogue are used to derive the known fusion potentials. This formalism is then extended to the WZW models over the spin groups of odd rank, and explicit presentations of the corresponding fusion rings are given. The analogues of the Jacobi–Trudy identity for the spinor representations (for all ranks) are derived for this purpose, and may be of independent interest.

ItemThe extended algebra of the SU(2) WessZuminoWitten modelsMathieu, P ; Ridout, D (ELSEVIER SCIENCE BV, 20070319)

ItemThe extended algebra of the minimal modelsMathieu, P ; Ridout, D (ELSEVIER, 20070806)

ItemFrom percolation to logarithmic conformal field theoryMathieu, P ; Ridout, D (ELSEVIER, 20071129)

ItemLogarithmic M(2, p) minimal models, their logarithmic couplings, and dualityMathieu, P ; Ridout, D (ELSEVIER, 20081001)

ItemOn staggered indecomposable Virasoro modulesKytola, K ; Ridout, D (AMER INST PHYSICS, 20091201)