Duality Symmetries in Non-Linear Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, LaTeX, added references

Scientific paper

10.1142/S0217751X99000579

Duality symmetries are discussed for non-linear gauge theories of (n-1)-th rank antisymmetric tensor fields in general even dimensions d=2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be compact. We find conditions on the Lagrangian required by compact duality symmetries and show an example of duality invariant non-linear theories. We also discuss how to enlarge the duality symmetries to non-compact groups by coupling scalar fields described by non-linear sigma models.

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