A Change of Variables to the Dual and Factorization of Composite Anomalous Jacobians

Details A Change of Variables to the Dual and Factorization of Composite Anomalous Jacobians A Change of Variables to the Dual and Factorization of Composite Anomalous Jacobians

1995-08-20

arxiv.org/abs/hep-th/9508095v2

Phys.Rev. D57 (1998) 6350-6355

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures, Latex file, A treatment of the global aspects of the abelian and of semisimple duality groups are added.

Scientific paper

10.1103/PhysRevD.57.6350

Changes of variables giving the dual model are constructed explicitly for sigma-models without isotropy. In particular, the jacobian is calculated to give the known results. The global aspects of the abelian case as well as some of those of the cases where the isometry group is simply connected are considered. Considering the anomalous case, we infer by a consistency argument that the `multiplicative anomaly' should be replaceable by adequate rules for factorization of composite jacobians. These rules are then generalized in a simple way for composite jacobians defined in spaces of different types. Implimentation of these rules then gives specific formulas for the anomally for semisimple algebras and also for solvable ones.

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