Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-19
Nucl.Phys. B557 (1999) 459-479
Physics
High Energy Physics
High Energy Physics - Theory
21 pp
Scientific paper
10.1016/S0550-3213(99)00397-1
We construct dual Lagrangians for $G/H$ models in two space-time dimensions for arbitrary Lie groups $G$ and $H\subset G$. Our approach does not require choosing coordinates on $G/H$, and allows for a natural generalization to Lie-Poisson duality. For the case where the target metric on $G/H$ is induced from the invariant metric on $G$, the dual system is a gauged Higgs model, with a nonconstant metric and a coupling to an antisymmetric tensor. The dynamics for the gauge connection is governed by a $BF$-term. Lie-Poisson duality is relevant once we allow for a more general class of target metrics, as well as for couplings to an antisymmetric tensor, in the primary theory. Then the dual theory is written on a group $\tilde G$ dual to $G$, and the gauge group $H$ (which, in general, is not a subgroup of $\tilde G$) acts nonlinearly on $\tilde G$. The dual system therefore gives a nonlinear realization of a gauge theory. All dual descriptions are shown to be canonically equivalent to the corresponding primary descriptions, at least at the level of the current algebra.
No associations
LandOfFree
T-Duality for Coset Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with T-Duality for Coset Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and T-Duality for Coset Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-458219