New insight into the Witten-Dijkgraff-Verlinde-Verlinde equation

2004/11/25 by Stefano Bellucci, S. Bellucci, Anton Galajinsky +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Dimension (graph theory) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1103/physrevd.71.044023

published as Phys.Rev. D71 (2005) 044023 · 16 pages, no figures, LaTeX file, PACS: 04.60.Ds; 11.30.Pb

arxiv created 2004/11/25 · openalex publication_date 2005/02/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• New many-body superconformal models as reductions of simple composite systems
• Intersecting M-branes as four-dimensional black holes
• Remarks on N = 4 Superconformal Extension of the Calogero Model
• N=8 supersymmetric mechanics on special Kähler manifolds
• N=4 superconformal mechanics and the potential structure of AdS spaces

Cited by

• SU(1, 1|N) superconformal mechanics with fermionic gauge symmetry