Supersymmetric extension of Hopf maps: \({\mathcal N}=4\) \(\sigma \)-models and the \(S^{3}\rightarrow S^{2}\) fibration

DOI10.1016/j.nuclphysb.2010.03.017zbMath1204.81159arXiv0912.3279OpenAlexW2071250234MaRDI QIDQ622722

Francesco Toppan, L. Faria Carvalho, Zhanna G. Kuznetsova

Publication date: 3 February 2011

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

Full work available at URL: https://arxiv.org/abs/0912.3279

zbMATH Keywords

supersymmetric quantum mechanicssigma modelsHopf mapsrepresentations of superalgebras

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Smash products of general Hopf actions (16S40) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05)

Related Items (5)

${\mathcal N} = 4$ SUPERSYMMETRIC QUANTUM MECHANICS AND HARMONICS ⋮ Graded Hopf maps and fuzzy superspheres ⋮ Generating all 36,864 four-color adinkras via signed permutations and organizing into \(\ell\)- and \(\widetilde{\ell}\)-equivalence classes ⋮ On nonminimal ${\cal N}=4$N=4 supermultiplets in 1D and their associated σ-models ⋮ Pure and entangled ${\cal N}=4$N=4 linear supermultiplets and their one-dimensional sigma-models

Cites Work

• Dynamical breaking of supersymmetry
• Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries
• \(N=4\) supersymmetric mechanics with nonlinear chiral supermultiplet
• \(N=8\) non-linear supersymmetric mechanics
• \(N=4,d=1\) tensor multiplet and hyper-Kähler \(\sigma \)-models
• Nonlinear \(({\mathbf 4},{\mathbf 8},{\mathbf 4})\) multiplet of \(\mathcal N=8\), \(d=1\) supersymmetry
• Abc of \(N=8,\;d=1\) supermultiplets
• Gauging \(\mathcal N=4\) supersymmetric mechanics. II: (1,4,3) models from the (4,4,0) ones
• Gauging \(\mathcal N=4\) supersymmetric mechanics
• \(N=4\) supersymmetric 3-particles Calogero model
• HKT and OKT geometries on soliton black hole moduli spaces
• Hierarchy of \(N=8\) mechanics models
• The common origin of linear and nonlinear chiral multiplets in \(\mathcal N =4\) mechanics
• On the classification of N-extended supersymmetric quantum mechanical systems
• The second Hopf map and Yang–Coulomb system on a 5D (pseudo)sphere
• REFINING THE CLASSIFICATION OF THE IRREPS OF THE 1D N-EXTENDED SUPERSYMMETRY
• DECOMPOSITION AND OXIDATION OF THE N-EXTENDED SUPERSYMMETRIC QUANTUM MECHANICS MULTIPLETS
• ONE-DIMENSIONAL σ-MODELS WITH N = 5, 6, 7, 8 OFF-SHELL SUPERSYMMETRIES
• Real representations of finite Clifford algebras. I. Classification
• The geometry of the one-dimensional supersymmetric non-linear sigma models
• N = 4, d = 1 supermultiplets from nonlinear realizations of D (2, 1;  )

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