Partition functions of chiral gauge theories on the two dimensional torus and their duality properties

Details Partition functions of chiral gauge theories on the two dimensional torus and their duality properties Partition functions of chiral gauge theories on the two dimensional torus and their duality properties

1998-06-04

arxiv.org/abs/hep-th/9806029v2

Phys.Lett. B440 (1998) 108-116

Physics

High Energy Physics

High Energy Physics - Theory

RevTex, 13 pages, references added

Scientific paper

10.1016/S0370-2693(98)01057-0

Two different families of abelian chiral gauge theories on the torus are investigated: the aim is to test the consistency of two-dimensional anomalous gauge theories in the presence of global degrees of freedom for the gauge field. An explicit computation of the partition functions shows that unitarity is recovered in particular regions of parameter space and that the effective dynamics is described in terms of fermionic interacting models. For the first family, this connection with fermionic models uncovers an exact duality which is conjectured to hold in the nonabelian case as well.

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