منابع مشابه
Heterotic Coset Models
A description is given of how to construct (0, 2) supersymmetric conformal field theories as coset models. These models may be used as non–trivial backgrounds for Heterotic String Theory. They are realised as a combination of an anomalously gauged Wess–Zumino–Witten model, right–moving supersymmetric fermions, and left–moving current algebra fermions. Requiring the sum of the gauge anomalies fr...
متن کاملCoset Group Construction of Multidimensional Number Systems
Extensions of real numbers in more than two dimensions, in particular quaternions and octonions, are finding applications in physics due to the fact that they naturally capture symmetries of physical systems. However, in the conventional mathematical construction of complex and multicomplex numbers multiplication rules are postulated instead of being derived from a general principle. A more tra...
متن کاملCoset Construction of Parafermionic Hall States
Fractional quantum Hall fluids with fillings 2 < ν < 3 have been recently proposed which generalize the Pfaffian state (ν = 2 + 1/2) into a hierarchy of states with parafermionic excitations. We describe here the corresponding Zk-parafermion conformal field theory by means of the coset construction ŝu(k)1⊕ ŝu(k)1/ŝu(k)2. This extends our earlier derivation of the Pfaffian state from a “parent” ...
متن کاملHandle Operators of Coset Models*
Several interesting features of coset models " without fixed points " are easily understood via Chern-Simons theory. In this paper we derive explicit formulae for the handle-squashing operator in these cosets. These operators are fixed, linear combinations of the irreducible representations of the coset. As a simple application of these curious formulae, we compute the traces of all genus-one o...
متن کاملCoset Construction for Winding Subalgebras and Applications
In this paper we review the coset construction for winding subalgebras of affine Lie algebras. We classify all cosets of central charge ĉ < 1 and calculate their branching rules. The corresponding character identities give certain ‘doubling formulae’ for the affine characters. We discuss some applications of our construction, in particular we find a simple proof of a crucial identity needed for...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1993
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x93002241