Unification of Galileon Dualities

Understand

We study dualities of the general Galileon theory in d dimensions in terms of coordinate transformations on the coset space corresponding to the spontaneously broken Galileon group.

• The most general duality transformation is found to be determined uniquely up to four free parameters and under compositions these transformations form a group which can be identified with GL(2,R).
• This group represents a unified framework for all the up to now known Galileon dualities.
• We discuss a representation of this group on the Galileon theory space and using concrete examples we illustrate its applicability both on the classical and quantum level.