- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
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ItemNo Preview AvailableSingular vectors for the WN algebrasRidout, D ; Siu, S ; Wood, S (AMER INST PHYSICS, 2018-03)In this paper, we use free field realisations of the A-type principal, or Casimir, WN algebras to derive explicit formulae for singular vectors in Fock modules. These singular vectors are constructed by applying screening operators to Fock module highest weight vectors. The action of the screening operators is then explicitly evaluated in terms of Jack symmetric functions and their skew analogues. The resulting formulae depend on sequences of pairs of integers that completely determine the Fock module as well as the Jack symmetric functions.
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ItemNo Preview AvailableCosets, characters and fusion for admissible-level osp (1|2) minimal modelsCreutzig, T ; Kanade, S ; Liu, T ; Ridout, D (ELSEVIER, 2019-01)
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ItemAn admissible level (osp)over-cap (1|2)-model: modular transformations and the Verlinde formulaSnadden, J ; Ridout, D ; Wood, S (SPRINGER, 2018-11)
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ItemModularity of logarithmic parafermion vertex algebrasAuger, J ; Creutzig, T ; Ridout, D (SPRINGER, 2018-12)
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ItemBoundary algebras and Kac modules for logarithmic minimal modelsMorin-Duchesne, A ; Rasmussen, J ; Ridout, D (ELSEVIER SCIENCE BV, 2015-10)
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ItemSuperconformal minimal models and admissible Jack polynomialsBlondeau-Fournier, O ; Mathieu, P ; Ridout, D ; Wood, S (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017-07-09)
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ItemThe super-Virasoro singular vectors and Jack superpolynomials relationship revisitedBlondeau-Fournier, O ; Mathieu, P ; Ridout, D ; Wood, S (ELSEVIER, 2016-12)
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ItemExclusion statistics in conformal field theory and the UCPF for WZW modelsBouwknegt, P ; Chim, L ; Ridout, D (ELSEVIER, 2000-04-24)
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ItemConvergence properties of gradient descent noise reductionRidout, D ; Judd, K (ELSEVIER, 2002-05-01)
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ItemD-branes on group manifolds and fusion ringsBouwknegt, P ; Dawson, P ; Ridout, D (SPRINGER, 2002-12)