Determining a nonperturbative definition of a chiral Spin(10) gauge theory with specific interactions, highlighting implications for theoretical physics.
Key Points
The paper aims to define a chiral Spin(10) gauge theory on the lattice and establish a nonperturbative definition under certain assumptions.
Defined the chiral Spin(10) gauge theory with a specific gapping interaction and symmetric conditions.
Proved the anomaly conditions necessary for symmetric gapping and established unique couplings using a CRT theorem.
Provided deterministic scripts for reproducibility of all computed statements.
Established that mirror gaps G-symmetrically through dimerization; the unique structure holds across dimensions.
Demonstrated that the conditional theorem provides a defined non-negative measure and light spectrum closely related to the Standard Model.
Identified limitations regarding specific assumptions in four dimensions at intermediate coupling and open problems for future studies.