4 problems

Consider the non-dimensional Goodwin oscillator … with Hill coefficient $m\in\mathbbm{N}$. Its discrete symmetries include the commutative group $C_m\times C_2$. Goodwin oscillator…

Let a torus fibered Calabi–Yau manifold define an F-theory compactification, and denote the Tate–Shafarevich group of its fibration by the corresponding group of genus-one fibratio…

Let an F-theory compactification be associated with a torus fibered Calabi–Yau manifold, and let the fibration have Tate–Shafarevich group. The Tate–Shafarevich discrete-symmetry c…

The ${\bf 28}$ representation is derived from ${\bf 3^6}$, where ${\bf 3}$ denotes the gauged $SU(3)$ representation. The vacuum expectation value (VEV) is the scalar vacuum config…