New insight into WDVV equation

Abstract

We show that Witten-Dijkgraaf-Verlinde-Verlinde equation underlies the construction of N=4 superconformal multi--particle mechanics in one dimension, including a N=4 superconformal Calogero model.

16 pages, no figures, LaTeX file, PACS: 04.60.Ds; 11.30.Pb

References in corpus (20)

• Black Holes and Calogero Models
• Intersecting M-branes as Four-Dimensional Black Holes
• WDVV-like equations in N=2 SUSY Yang-Mills Theory
• (Super)conformal many-body quantum mechanics with extended supersymmetry
• ABC of N=8, d=1 supermultiplets
• N=4 Supersymmetric Multidimensional Quantum Mechanics, Partial SUSY Breaking and Superconformal Quantum Mechanics
• N=8 superconformal mechanics
• Nonperturbative Relations in N=2 SUSY Yang-Mills and WDVV equation
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• N=4 Superconformal Mechanics and the Potential Structure of AdS Spaces
• N=8 supersymmetric mechanics on special Kähler manifolds
• Many-Body Superconformal Systems from Hamiltonian Reductions
• Kähler geometry and SUSY mechanics
• Comments on N=4 Superconformal Extension of the Calogero Model
• Extended superconformal symmetry and Calogero-Marchioro model
• Alternative bi-Hamiltonian structures for WDVV equations of associativity
• Super-Calogero model with OSp(2|2) supersymmetry : is the construction unique?
• N=8 Supersymmetric Quaternionic Mechanics
• On the Structure of the $N=4$ Supersymmetric Quantum Mechanics in $D=2$ and $D=3$
• Extremal Branes as Elementary Particles

Cited by in corpus (38)

• Supersymmetric Calogero models by gauging
• Superconformal mechanics
• N=4 superconformal Calogero models
• Conformal mechanics in Newton-Hooke spacetime
• Calogero models and nonlocal conformal transformations
• N=4 mechanics, WDVV equations and roots
• Many-particle mechanics with D(2,1;alpha) superconformal symmetry
• Remark on quantum mechanics with N=2 Schrodinger supersymmetry
• D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics
• Particle dynamics on AdS_2 x S^2 background with two-form flux
• N=4 superconformal n-particle mechanics via superspace
• $\mathcal{N}$-extended supersymmetric Calogero models
• Higher rank Killing tensors and Calogero model
• Harmonic N=2 Mechanics
• Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems
• Extended supersymmetric Calogero model
• Membrane Quantum Mechanics
• N=4 Multi-Particle Mechanics, WDVV Equation and Roots
• Nonlinear symmetries of perfectly invisible $PT$-regularized conformal and superconformal mechanics systems
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• $\mathcal{N}=4$ supersymmetric mechanics on curved spaces
• Curved Witten-Dijkgraaf-Verlinde-Verlinde equation and $\mathcal{N}=4$ mechanics
• SU(2$|$1) supersymmetric mechanics on curved spaces
• A new class of solutions to the WDVV equation
• Superconformal Quantum Mechanics from M2-branes
• $\mathcal{N}=2$ supersymmetric hyperbolic Calogero-Sutherland model
• Remarks on N=1 supersymmetric extension of the Euler top
• Supersymmetric V-systems
• Extended V-systems and almost-duality for extended affine Weyl orbit spaces
• Dual multiplets in N=4 superconformal mechanics
• New Super Calogero Models and OSp(4|2) Superconformal Mechanics
• $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry
• $\mathcal{N}=4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model
• Supersymmetric Calogero models from superfield gauging
• Solutions of $B{C}_n$ Type of WDVV Equations
• N=4 Mechanics, WDVV Equations and Polytopes
• Two-particle Wigner functions in a one-dimensional Calogero-Sutherland potential
• Integrability of supersymmetric Calogero-Moser models