Critical points of Yang-Mills for noncommutative two-tori
From MaRDI portal
Publication:1812901
DOI10.4310/jdg/1214444326zbMath0820.58007OpenAlexW1530543440WikidataQ115182248 ScholiaQ115182248MaRDI QIDQ1812901
Publication date: 25 June 1992
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214444326
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)
Related Items
On the plethora of representations arising in noncommutative quantum mechanics and an explicit construction of noncommutative 4-tori ⋮ Strong connections on quantum principal bundles ⋮ Subadditivity and additivity of the noncommutative Yang-Mills action functional ⋮ Dirac operators for matrix algebras converging to coadjoint orbits ⋮ On the moduli space of a quantum Heisenberg manifold ⋮ On noncommutative Levi-Civita connections ⋮ Yang-Mills connections on quantum Heisenberg manifolds ⋮ A note on nonlinear σ-models in noncommutative geometry ⋮ Noncommutative Kähler structure on \(C^\ast\)-dynamical systems ⋮ The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds ⋮ Unitary dilations of commutation relations associated to alternating bilinear forms ⋮ Equivalence of two approaches to Yang-Mills on noncommutative torus
