منابع مشابه
Fermionic characters for graded parafermions
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.
متن کاملGraded parafermions: standard and quasi-particle bases
Two bases of states are presented for modules of the graded parafermionic conformal field theory associated to the coset ôsp(1, 2)k/û(1). The first one is formulated in terms of the two fundamental (i.e., lowest dimensional) parafermionic modes. In that basis, one can identify the completely reducible representations, i.e., those whose modules contain an infinite number of singular vectors; the...
متن کاملNew path description for the M ( k + 1 , 2 k + 3 ) models and the dual Z k graded parafermions
New path description for the M(k + 1, 2k + 3) models and the dual Z k graded parafermions ABSTRACT We present a new path description for the states of the non-unitary M(k + 1, 2k + 3) models. This description differs from the one induced by the Forrester-Baxter solution, in terms of configuration sums, of their restricted-solid-on-solid model. The proposed path representation is actually very s...
متن کاملDiscretely Holomorphic Parafermions and Integrable Loop Models
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...
متن کاملNon-Abelian duality, parafermions, and supersymmetry.
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)00505-7