Can (electricmagnetic) duality be gauged?
Abstract
There exists a formulation of the Maxwell theory in terms of two vector potentials, one electric and one magnetic. The action is then manifestly invariant under electricmagnetic duality transformations, which are rotations in the twodimensional internal space of the two potentials, and local. We ask the question: Can duality be gauged? The only known and battletested method of accomplishing the gauging is the Noether procedure. In its decanted form, it amounts to turning on the coupling by deforming the Abelian gauge group of the free theory, out of whose curvatures the action is built, into a nonAbelian group which becomes the gauge group of the resulting theory. In this article, we show that the method cannot be successfully implemented for electricmagnetic duality. We thus conclude that, unless a radically new idea is introduced, electricmagnetic duality cannot be gauged. The implication of this result for supergravity is briefly discussed.
 Publication:

Physical Review D
 Pub Date:
 February 2011
 DOI:
 10.1103/PhysRevD.83.045031
 arXiv:
 arXiv:1011.5889
 Bibcode:
 2011PhRvD..83d5031B
 Keywords:

 11.15.q;
 04.65.+e;
 11.30.Ly;
 Gauge field theories;
 Supergravity;
 Other internal and higher symmetries;
 High Energy Physics  Theory
 EPrint:
 Some minor typos corrected