Exact Resurgent Trans-series and Multi-Bion Contributions to All Orders

Understand

The full resurgent trans-series is found exactly in near-supersymmetric $\mathbb C P^1$ quantum mechanics.

• By expanding in powers of the SUSY breaking deformation parameter, we obtain the first and second expansion coefficients of the ground state energy.
• They are absolutely convergent series of nonperturbative exponentials corresponding to multi-bions with perturbation series on those background.
• We obtain all multi-bion exact solutions for finite time interval in the complexified theory.