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We discuss the superconformal quantum mechanics arising from the M2-branes. We begin
with a comprehensive review on the superconformal quantum mechanics and emphasize …

We overcome the barrier of constructing\(\mathcal {N}= 4\) superconformal models in one
space dimension for more than three particles. The D (2, 1; α) superalgebra of our systems is …

We present a surprising redefinition of matrix fermions which brings the supercharges of the
N-extended supersymmetric A n− 1 Calogero model introduced in [1] to the standard form …

We consider ideals of polynomials vanishing on the W-orbits of the intersections of mirrors of
a finite reflection group W. We determine all such ideals that are invariant under the action of …

We consider a complex version of the $\vee $-systems, which appeared in the theory of the
WDVV equation. We show that the class of these systems is closed under the natural …

We present N= 4 supersymmetric mechanics on n-dimensional Riemannian manifolds
constructed within the Hamiltonian approach. The structure functions entering the …

We revisit the (untwisted) superfield approach to one-dimensional multi-particle systems
with N= 4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic …

Abstract The Witten–Dijkgraaf–Verlinde–Verlinde (or WDVV) equations, as one would
expect from an integrable system, has many symmetries, both continuous and discrete. One …

Legendre transformations provide a natural symmetry on the space of solutions to the WDVV
equations, and more specifically, between different Frobenius manifolds. In this paper a …