Spectrum-generating Symmetries for BPS Solitons

Details Spectrum-generating Symmetries for BPS Solitons Spectrum-generating Symmetries for BPS Solitons

1997-07-24

arxiv.org/abs/hep-th/9707207v2

Nucl.Phys.B520:132-156,1998

Physics

High Energy Physics

High Energy Physics - Theory

References added. Latex, 29 pages

Scientific paper

10.1016/S0550-3213(98)00057-1

We show that there exist nonlinearly realised duality symmetries that are independent of the standard supergravity global symmetries, and which provide active spectrum-generating symmetries for the fundamental BPS solitons. The additional ingredient, in any spacetime dimension, is a single scaling transformation that allows one to map between BPS solitons with different masses. Without the inclusion of this additional transformation, which is a symmetry of the classical equations of motion, but not the action, it is not possible to find a spectrum-generating symmetry. The necessity of including this scaling transformation highlights the vulnerability of duality multiplets to quantum anomalies. We argue that fundamental BPS solitons may be immune to this threat.

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