\emph{Ab initio} multi-irrep symplectic no-core configuration interaction calculations

The $\mathrm{Sp}(3,R)$ symplectic symmetry has a close physical connection to both the microscopic shell model and the collective deformation and rotational degrees of freedom. In addition, recent SU(3)-coupled no-core shell model [SU(3)-NCSM] calculations indicate that rotational nuclei have an approximate symplectic symmetry. \emph{Ab Initio} multi-irrep symplectic no-core configuration interaction (NCCI) calculations combine the traditional symplectic model with the SU(3)-NCSM to extend the range of NCCI calculations beyond the $p$-shell nuclei. Moreover, carrying out calculations in a symplectic basis provides a natural framework in which to study the emerging rotational behavior observed in NCCI calculations. We present key elements of this framework and initial calculations.