Poisson-Lie T-duality of string effective actions: A new approach to the dilaton puzzle

Abstrakt

For a particular class of backgrounds, equations of motion for string sigma models targeted in mutually dual Poisson-Lie groups are equivalent. This phenomenon is called the Poisson-Lie T-duality.

On the level of the corresponding string effective actions, the situation becomes more complicated due to the presence of the dilaton field. A novel approach to this problem using Levi-Civita connections on Courant algebroids is presented.

After the introduction of necessary geometrical tools, formulas for the Poisson Lie T-dual dilaton fields are derived. This provides a version of Poisson-Lie T-duality for string effective actions.

Klíčová slova

• Poisson Lie T-duality
• String effective actions
• Dilaton field
• Courant algebroids
• Levi-Civita connections