The Higgs boson spectrum of the next-to-minimal supersymmetric standard model is
examined. The model includes a singlet Higgs field S in addition to the two Higgs doublets …

Conformal many-body mechanics in Newton–Hooke spacetime is studied within the
framework of the Lagrangian formalism. Global symmetries and Noether charges are given …

The set of dynamic symmetries of the scalar free Schrödinger equation in d space
dimensions gives a realization of the Schrödinger algebra that may be extended into a …

New insight into the Witten-Dijkgraff-Verlinde-Verlinde equation Page 1 New insight into the
Witten-Dijkgraff-Verlinde-Verlinde equation S. Bellucci,1,* A. Galajinsky,2,† and E. Latini1,‡ …

The development in the study of supersymmetric many-particle quantum systems with
inverse-square interactions is reviewed. The main emphasis is on quantum systems with …

We show that the N-particle AN− 1 and BN rational Calogero models without the harmonic
interaction admit a new class of bound and scattering states. These states owe their …

A unitary transformation which relates a many-body quantum mechanics with N= 2
Schrödinger supersymmetry to a set of decoupled superparticles is proposed. The …

We propose a new reduction mechanism which allows one to construct n-particle (super)
conformal theories with a pairwise interaction starting from a composite system involving n …

It is shown that for a given Hermitian Hamiltonian possessing supersymmetry, there is
always a non-Hermitian Jaynes–Cummings-type Hamiltonian (JCTH) admitting entirely real …

We define a new multispecies model of Calogero type in D dimensions with harmonic, two-
body and three-body interactions. Using the underlying conformal SU (1, 1) algebra, we …