Bi-algebras, generalised geometry and T-duality

Understand

A study of sigma models whose target space is a group G that admits a compatible Poisson structure is presented.

• The natural action of O(D,D;Z) on the generalised tangent bundle TG+T*G and a generalisation of the Courant bracket that appears are reviewed.
• This background provides a concrete example where the generalised geometry and doubled geometry descriptions are both well understood.
• Connections between the two formalisms are discussed and the world-sheet theory from Hamiltonian and Lagrangian perspectives is investigated.