Supersymmetric Lorentz-covariant hyperspaces and self-duality equations in dimensions greater than \((4|4)\)

DOI10.1016/S0550-3213(97)00503-8zbMath0938.81042arXivhep-th/9704036OpenAlexW2042359741MaRDI QIDQ1367560

Jean Nuyts, Chandrashekar Devchand

Publication date: 24 September 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9704036

zbMATH Keywords

differential equationsdimensionalitysuperalgebracurvature constraintsYang Mills theorylinear integrable systemssuperMinkowski spacesuperspace complexifications

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global differential geometry to the sciences (53C80)

Related Items

Polyvector super-Poincaré algebras ⋮ Lorentz covariant spin two superspaces

Cites Work

• Consistent equations for interacting massless fields of all spins in the first order in curvatures
• Classification of \(N\)-(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of \(Spin(p,q)\)
• Integrable and solvable systems, and relations among them
• Interacting fields of arbitrary spin and \(N>4\) supersymmetric self-dual Yang-Mills equations
• Interacting fields of arbitrary spin and \(N>4\) supersymmetric self-dual Yang-Mills equations