منابع مشابه
2 M ar 1 99 9 Non - abelian Exclusion Statistics
We introduce the notion of ‘order-k non-abelian exclusion statistics’. We derive the associated thermodynamic equations by employing the Thermodynamic Bethe Ansatz for specific non-diagonal scattering matrices. We make contact with results obtained by different methods and we point out connections with ‘fermionic sum formulas’ for characters in a Conformal Field Theory. As an application, we de...
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We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multi-valued function of the scattering angle. There can be an exchange contribution to the vortex-vortex scattering amplitude th...
متن کاملNon-abelian statistics from an abelian model
It is well known that the abelian Z2 anyonic model (toric code) can be realized on a highly entangled two-dimensional spin lattice, where the anyons are quasiparticles located at the endpoints of string-like concatenations of Pauli operators. Here we show that the same entangled states of the same lattice are capable of supporting the non-abelian Ising model, where the concatenated operators ar...
متن کامل0 Non - Abelian Quantum Hall States – Exclusion Statistics , K - Matrices and Duality –
We study excitations in edge theories for non-abelian quantum Hall states, focussing on the spin polarized states proposed by Read and Rezayi and on the spin singlet states proposed by two of the authors. By studying the exclusion statistics properties of edge-electrons and edge-quasiholes, we arrive at a novel K-matrix structure. Interestingly, the duality between the electron and quasihole se...
متن کاملNon-Abelian Statistics Of Axion Strings
We examine an axion string coupled to a Majorana fermion. It is found that there exist a Majorana-Weyl zero mode on the string. Due to the zero mode, the axion strings obey non-abelian statistics. Fermionic zero modes on topological defects often cause non-trivial phenomena in relativistic quantum field theory. Some examples are fermion number fractionalization [1], baryon number violation in t...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1999
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(99)00358-2