1999/06/23 by Carlos Castro, Castro, Carlos
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9906176
Revised Tex file, 21 pages. An addition of the recent work on Chern-Simons Hadronic Bags (Ansoldi, Castro, Spallucci : hep-th/0011013) and p-branes from Moyal Deformation of Generalized Yang Mills (hep-th/9908115) has been added
openalex publication_date 1999/06/23 · arxiv created 2000/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Conformally invariant sigma models in D=2n dimensions with target non-compact O(2n,1) groups are studied. It is shown that despite the non-compact nature of the O(2n,1) groups, the classical action and Hamiltonian are positive definite. Instanton field configurations are found to correspond geometrically to conformal ``stereographic'' mappings of R2n into the Euclidean signature AdS2n spaces. Zaikov's relationship between Self Dual p-branes and Chern-Simons p'-branes, provided p=p'+1 and the embedding D=p+1-dimensional manifold is Euclidean, is elaborated further. Branes actions can be obtained also from a Moyal deformation quantization of Generalized Yang Mills Theories. Using this procedure, we show how four dimensional SU(N) YM theories contain Chern-Simons membranes and hadronic bags in the large N limit. Since Chern-Simons p'-branes have an underlying infinite dimensional algebra containing W1+∞, as shown by Zaikov, we discuss the importance that W geometry should have in the final formulation of M theory.