Hamiltonian Approach to Poisson Lie T-Duality

Details Hamiltonian Approach to Poisson Lie T-Duality Hamiltonian Approach to Poisson Lie T-Duality

1998-11-30

arxiv.org/abs/hep-th/9811256v1

Phys.Lett. B450 (1999) 141-148

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/S0370-2693(99)00111-2

The Hamiltonian formalism offers a natural framework for discussing the notion of Poisson Lie T-duality. This is because the duality is inherent in the Poisson structures alone and exists regardless of the choice of Hamiltonian. Thus one can pose alternative dynamical systems possessing nonabelian T-duality. As an example, we find a dual Hamiltonian formulation of the O(3) nonlinear sigma-model. In addition, starting from a general quadratic Hamiltonian, we easily recover the known dynamical systems having Poisson Lie T-duality.

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