@inbook{3a61e45daa724df2ba4493442b869b4d,
title = "Yang–Mills theory and a superquadric",
abstract = "We construct a real-analytic CR supermanifold R, holomorphically embedded into a superquadric Q ⊂ P3|3 × P∗3|3. A CR distribution F on R enables us to define a tangential CR complex (Ω•F, ∂). We define a ∂-closed trace functional ∫: Ω•F → ℂ and conjecture that a Chern-Simons theory associated with a triple (Ω•F ⊗ Matn, ∂, ∫ tr) is equivalent to N = 3, D = 4 Yang–Mills theory with a gauge group U(n). We give some evidences to this conjecture.",
keywords = "Lagrangian, Supermanifold, Supersymmetry, Yang–Mills theory",
author = "Movshev, \{Mikhail V.\}",
note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media, LLC 2009.",
year = "2009",
doi = "10.1007/978-0-8176-4747-6\_11",
language = "English",
series = "Progress in Mathematics",
publisher = "Springer Basel",
pages = "355--382",
booktitle = "Progress in Mathematics",
}