\(N=4\) supersymmetric 3-particles Calogero model

DOI10.1016/j.nuclphysb.2008.06.024zbMath1190.81114arXiv0805.3480OpenAlexW2085945077WikidataQ62558584 ScholiaQ62558584MaRDI QIDQ980863

Stefano Bellucci, Anton Sutulin, Sergey Krivonos

Publication date: 8 July 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3480

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Quantization in field theory; cohomological methods (81T70) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (16)

Superconformal \(SU(1, 1|n)\) mechanics ⋮ New realizations of the supergroup \(D(2,1;\alpha)\) in \(\mathcal N=4\) superconformal mechanics ⋮ SU\((1, 1 | N)\) superconformal mechanics with fermionic gauge symmetry ⋮ Many-particle mechanics with \(D(2, 1; {\alpha})\) superconformal symmetry ⋮ Supersymmetric extension of Hopf maps: \({\mathcal N}=4\) \(\sigma \)-models and the \(S^{3}\rightarrow S^{2}\) fibration ⋮ Action-angle variables for dihedral systems on the circle ⋮ Super 0-brane action on the coset space of \(D(2, 1; \alpha)\) supergroup ⋮ \(N =4 \ell\)-conformal Galilei superalgebras inspired by \(D(2,1; \alpha)\) supermultiplets ⋮ Supersymmetric V-systems ⋮ \(\mathcal{N}\)-extended supersymmetric Calogero models ⋮ Extended supersymmetric Calogero model ⋮ Higher-derivative mechanics with N=2l-conformal Galilei supersymmetry ⋮ \({\mathcal N}=4\) superconformal n-particle mechanics via superspace ⋮ Hidden symmetries of integrable conformal mechanical systems ⋮ Generating all 36,864 four-color adinkras via signed permutations and organizing into \(\ell\)- and \(\widetilde{\ell}\)-equivalence classes ⋮ D-module representations of ${\cal N}=2,4,8$N=2,4,8 superconformal algebras and their superconformal mechanics

Cites Work

• Gauging \(\mathcal N=4\) supersymmetric mechanics. II: (1,4,3) models from the (4,4,0) ones
• Quantum completely integrable systems connected with semi-simple Lie algebras
• Sum rules for codon usage probabilities
• (Super)conformal many-body quantum mechanics with extended supersymmetry
• Geometric superfield approach to superconformal mechanics
• N = 4, d = 1 supermultiplets from nonlinear realizations of D (2, 1;  )

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