منابع مشابه
Admissible ˆ sl(2|1; C)k Characters and Parafermions.
Admissiblê sl(2|1; C) k Characters and Parafermions. Abstract The branching functions of the affine superalgebrâ sl(2|1; C) k characters into characters of the subalgebrâ sl(2; C) k are calculated for fractional levels k = 1 u − 1, u ∈ N. They involve rational torus A u(u−1) and Z u−1 parafermion characters.
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Fermionic-type character formulae are presented for charged irreducible modules of the graded parafermionic conformal field theory associated to the coset ôsp(1, 2)k/û(1). This is obtained by counting the weakly ordered ‘partitions’ subject to the graded Z̃k exclusion principle. The bosonic form of the characters is also presented.
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We define parafermionic observables in various lattice loop models, including examples where no Kramers-Wannier duality holds. For a particular rhombic embedding of the lattice in the plane and a value of the parafermionic spin these variables are discretely holomorphic (they satisfy a lattice version of the Cauchy-Riemann equations) as long as the Boltzmann weights satisfy certain linear const...
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Non–Abelian duality in relation to supersymmetry is examined. When the action of the isometry group on the complex structures is non–trivial, extended supersymmetry is realized non–locally after duality, using path ordered Wilson lines. Prototype examples considered in detail are, hyper–Kahler metrics with SO(3) isometry and supersymmetric WZW models. For the latter, the natural objects in the ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(98)00522-7