Supercharges in the hyper-Kähler with torsion supersymmetric sigma models

DOI10.1063/1.4769452zbMath1278.81137arXiv1209.0539OpenAlexW3123567117MaRDI QIDQ2872421

Andrei V. Smilga

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/1209.0539

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on curved space or space-time backgrounds (81T20) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Superalgebras (17A70)

Related Items (8)

Taming the zoo of supersymmetric quantum mechanical models ⋮ \(\mathrm{SU}(2|2)\) supersymmetric mechanics ⋮ Superconformal mechanics of \(\mathrm{AdS}_2\) d-brane boundstates ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ The geometry of gauged (super)conformal mechanics ⋮ Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds ⋮ $\!\!\!{\cal N}{=}\,4$ N = 4 mechanics with diverse (4, 4, 0) multiplets: Explicit examples of hyper-Kähler with torsion, Clifford Kähler with torsion, and octonionic Kähler with torsion geometries ⋮ Bi-HKT and bi-Kähler supersymmetric sigma models

Cites Work

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• DIRAC OPERATOR ON COMPLEX MANIFOLDS AND SUPERSYMMETRIC QUANTUM MECHANICS
• A note on the Atiyah-Singer index theorem for manifolds with totally antisymmetric H torsion

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