Lectures on Supersymmetric Yang-Mills Theory and Integrable Systems

Part of the CRM Series in Mathematical Physics book series (CRM)


We present a series of four self-contained lectures on the following topics;
  1. (I)

    An introduction to 4-dimensional 1 ≤ N ≤ 4 supersymmetric Yang-Mills theory, including particle and field contents, N = 1 and N = 2 superfield methods and the construction of general invariant Lagrangians;

  2. (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;

  3. (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;

  4. (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.



Gauge Theory Gauge Group Spectral Curve Supersymmetric Gauge Theory Gauge Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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