Complex and quaternionic analyticity in chiral and gauge theories. I

DOI10.1016/0003-4916(80)90056-1zbMath0457.30039OpenAlexW1972829580MaRDI QIDQ1150729

Hsiung Chia Tze, Feza Gürsey

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0003-4916(80)90056-1

zbMATH Keywords

instantonsanalytic function theory of hypercomplex variablesAtiyah-Drifel'd-Hitchin-Manin construction of instantonsBogomol'nyi-Prasad-Sommerfield solutions of the Yang-Mills equationCP(n) and HP(n) sigma modelshypercomplex Kähler manifoldsMoisil-Fueter quaternionic holomorphyNarasimhanRamanan-Schlafly construction of universal connections on Stiefel bundles over Grassmann manifoldsquaternionic analyticity a la Moisil and Fueterquaternionic Weierstrass zeta functionSU(2) self-dual Yang-Mills connections

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Functions of hypercomplex variables and generalized variables (30G35) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80)

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