8 problems

Dirac's conjecture. All first-class constraints, both primary and secondary, are independent generators of gauge transformations.

In the DFM model, let the additional generators of the Dolbeault cohomology groups of the holomorphic non-abelian bundle be modes that are non-smooth on the singular space and have…

The paper constructs coherent states for a system whose subsystems have kinematical state spaces $\mathcal{N}_i^{H,\text{kin.}}$ and whose full kinematical state space is … A gauge…

Let a consistent theory of quantum gravity have a gauge-charge lattice, and let states be charged under this gauge symmetry. Charge-lattice completeness conjecture. A consistent th…

Let $\Lambda=(\xi,f)\in\mathbb{F}^1_-$ generate an infinitesimal symmetry of the generalized Maurer-Cartan equation, and let $\mathbb{M}$ be the corresponding component of a soluti…

Let $\mathbb{M}$ be the metric and $B$-field component of a solution of the generalized Maurer–Cartan equation, and let $\Lambda=(\xi,f)\in\mathbb{F}^1_-$ generate its infinitesima…

The Faddeev–Jackiw (FJ) method is a symplectic procedure whose algebra can provide both $SU(3)$ theory and $SU(3)\otimes SU(2)\otimes U(1)$ theory, together with their gauge symmet…

The orientation-orbifold string systems involve a single set of gauges, namely the gauges in (12.4), and the discussion uses the physical-state norms and the allowed even-dimension…