Critical scaling dimension of D-module representations of ${\cal N}=4,7,8$N=4,7,8 superconformal algebras and constraints on superconformal mechanics

DOI10.1063/1.4758923zbMath1278.81142arXiv1208.3612OpenAlexW1993821071MaRDI QIDQ2872335

Sadi Khodaee, Francesco Toppan

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3612

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Other elementary particle theory in quantum theory (81V25) Supersymmetric field theories in quantum mechanics (81T60) Superalgebras (17A70) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) More general nonquantum field theories in mechanics of particles and systems (70S20)

Related Items (10)

Superconformal quantum mechanics and the exterior algebra ⋮ \(\mathrm{SU}(2|2)\) supersymmetric mechanics ⋮ A world-line framework for 1D topological conformal σ-models ⋮ The quasi-nonassociative exceptional F(4) deformed quantum oscillator ⋮ Multiparticle \(\mathcal{N} = 8\) mechanics with \(F(4)\) superconformal symmetry ⋮ On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators ⋮ Target duality in ${\cal N}{=}\,8$N=8 superconformal mechanics and the coupling of dual pairs ⋮ Chiral and real ${\cal N}=2$N=2 supersymmetric ℓ-conformal Galilei algebras ⋮ Four types of (super)conformal mechanics: D-module reps and invariant actions ⋮ GOLDEN RATIO CONTROLLED CHAOS IN SUPERSYMMETRIC DYNAMICS

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