Duality rotations for interacting fields
Abstract
We study the properties of interacting field theories which are invariant under duality rotations which transform a vector field strength into its dual. We consider non-abelian duality groups and find that the largest group for n interacting field strengths is the non-compact Sp(2 n,R), which has U( n) as its maximal compact subgroup. We show that invariance of the equations of motion requires that the lagrangian change in a particular way under duality. We use this property to demonstrate the existence of conserved currents, the invariance of the energy-momentum tensor and the S-matrix, and also in the general construction of the lagrangian. Finally we comment on the existence of zero-mass spin-one bound states in N=8 supergravity, which possesses a non-compact E7 dual invariance.
- Publication:
-
Nuclear Physics B
- Pub Date:
- December 1981
- DOI:
- 10.1016/0550-3213(81)90527-7
- Bibcode:
- 1981NuPhB.193..221G