7,063 research outputs found
Schwinger terms in Weyl-invariant and diffeomorphism-invariant 2-d scalar field theory
We compute the Schwinger terms in the energy-momentum tensor commutator
algebra from the anomalies present in Weyl-invariant and
diffeomorphism-invariant effective actions for two dimensional massless scalar
fields in a gravitational background. We find that the Schwinger terms are not
sensitive to the regularization procedure and that they are independent of the
background metric.Comment: 8 pages, RevTex. Conclusions and references added. To appear in Phys.
Rev.
Fermionic Coset Models as Topological Models
By considering the fermionic realization of coset models, we show that
the partition function for the model defines a Topological Quantum
Field Theory and coincides with that for a 2-dimensional Abelian BF system. In
the non-Abelian case, we prove the topological character of coset models
by explicit computation, also finding a natural extension of 2-dimensional BF
systems with non-Abelian symmetry.Comment: 14p
Spinons as Composite Fermions
We show that gauge invariant composites in the fermionic realization of
conformal field theory explicitly exhibit the holomorphic
factorization of the corresponding WZW primaries. In the case we show
that the holomorphic sector realizes the spinon algebra, thus
allowing the classification of the chiral Fock space in terms of semionic
quasi-particle excitations created by the composite fermions.Comment: SU(N)_1 case included. Final version to appear in Mod. Phys. Lett. A.
Latex, 13 page
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