School of Mathematics and Statistics - Research Publications
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ItemPresentations of Wess-Zumino-Witten fusion rings(WORLD SCIENTIFIC PUBL CO PTE LTD, 2006-03-01)The fusion rings of the Wess–Zumino–Witten models are re-examined. 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 representation-theoretic 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.
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ItemThe extended algebra of the SU(2) Wess-Zumino-Witten models(ELSEVIER SCIENCE BV, 2007-03-19)
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ItemThe extended algebra of the minimal models(ELSEVIER, 2007-08-06)
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ItemFrom percolation to logarithmic conformal field theory(ELSEVIER, 2007-11-29)
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ItemLogarithmic M(2, p) minimal models, their logarithmic couplings, and duality(ELSEVIER, 2008-10-01)
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ItemOn staggered indecomposable Virasoro modules(AMER INST PHYSICS, 2009-12-01)
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ItemOn the percolation BCFT and the crossing probability of Watts(ELSEVIER, 2009-04-01)
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Item(sl)over-cap(2)(-1/2): A case study(ELSEVIER SCIENCE BV, 2009-06-21)