Instantons and transseries of the Mathieu potential deformed by a $\mathcal{P}\mathcal{T}$-symmetry parameter

N. M. Alvarenga, E. Cavalcanti, C. A. Linhares +3

We investigate the non-perturbative effects of a deformation of the Mathieu differential equation consistent with $\mathcal{P}\mathcal{T}$ symmetry. First, we develop a connection between th…