2 research outputs found
More About Discrete Gauge Anomalies
I discuss and extend several results concerning the cancellation of discrete
gauge anomalies. I show how heavy fermions do not decouple in the presence of
discrete gauge anomalies. As a consequence, in general, cancellation of
discrete gauge anomalies cannot be described merely in terms of low energy
operators involving only the light fermions. I also discuss cancellation of
discrete gauge anomalies through a discrete version of the Green-Schwarz (GS)
mechanism as well as the possibility of discrete gauge R-symmetries and their
anomalies.
Finally, some phenomenological applications are discussed. This includes
symmetries guaranteeing absence of FCNC in two-Higgs models and generalized
matter parities stabilizing the proton in the supersymmetric standard model. In
the presence of a discrete GS mechanism or/and gauge R-symmetries, new
possibilities for anomaly free such symmetries are found.Comment: 25 pages CERN-TH.6662/92 (replaced version contains additional
tex-macros
Selberg Supertrace Formula for Super Riemann Surfaces III: Bordered Super Riemann Surfaces
This paper is the third in a sequel to develop a super-analogue of the
classical Selberg trace formula, the Selberg supertrace formula. It deals with
bordered super Riemann surfaces. The theory of bordered super Riemann surfaces
is outlined, and the corresponding Selberg supertrace formula is developed. The
analytic properties of the Selberg super zeta-functions on bordered super
Riemann surfaces are discussed, and super-determinants of Dirac-Laplace
operators on bordered super Riemann surfaces are calculated in terms of Selberg
super zeta-functions.Comment: 43 pages, amste