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Lectures on Supersymmetric Yang-Mills Theory and Integrable Systems | | Eric D’Hoker
; D. H. Phong
; | | Date: |
29 Dec 1999 | | Subject: | hep-th | | Affiliation: | UCLA), D. H. Phong (Columbia University | | Abstract: | We present a series of four self-contained lectures on the following topics: (I) An introduction to 4-dimensional 1leq N leq 4 supersymmetric Yang-Mills theory, including particle and field contents, N=1 and N=2 superfield methods and the construction of general invariant Lagrangians; (II) A review of holomorphicity and duality in N=2 super-Yang-Mills, of Seiberg-Witten theory and its formulation in terms of Riemann surfaces; (III) An introduction to mechanical Hamiltonian integrable systems, such as the Toda and Calogero-Moser systems associated with general Lie algebras; a review of the recently constructed Lax pairs with spectral parameter for twisted and untwisted elliptic Calogero-Moser systems; (IV) A review of recent solutions of the Seiberg-Witten theory for general gauge algebra and adjoint hypermultiplet content in terms of the elliptic Calogero-Moser integrable systems. | | Source: | arXiv, hep-th/9912271 | | Services: | Forum | Review | PDF | Favorites | |
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