  In this paper, we show that the Givental group action on genus zero
cohomological field theories, also known as formal Frobenius manifolds or
hypercommutative algebras, naturally arises in the deformation theory of
Batalin--Vilkovisky algebras. We prove that the Givental action is equal to an
action of the trivialisations of the trivial circle action. This result relies
on the equality of two Lie algebra actions coming from two apparently remote
domains: geometry and homotopical algebra.
