7 problems

Let $d$ be the spacetime dimension and let $\mathcal{I}_2$ be the invariant discussed in the 2T-physics construction. Consider a massive non-relativistic model, obtained from a rel…

Let $d$ be the spacetime dimension and let $\mathcal{I}_2$ be the invariant discussed in the 2T-physics construction. Consider a massless relativistic system with conformal symmetr…

Higher-point 4K-pattern conjecture. This pattern may extend to even higher-point functions when the external mass invariants are separated from the remaining scalar products of two…

Calogero's conjecture. There should exist a nontrivial relation between the multiparticle Calogero model and the system of decoupled oscillators.

Let $A$ be the ambient vector space and let $C\subseteq A$ be the constraint surface defined by the linear relations in the paper. Write $R_A$ and $R_C$ for the corresponding funct…

Let $\Phi_\ell$ be the scalar field mode of angular momentum $\ell$, let $D^{(\ell)}_{i_1,i_2,\cdots,i_\ell}$ be the differential operator appearing in the ladder-operator construc…

Let the Pais–Uhlenbeck oscillator be the higher-derivative oscillator discussed above, and let the $l$-conformal Newton–Hooke group denote the corresponding nonrelativistic conform…