Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-31
Physics
High Energy Physics
High Energy Physics - Theory
39 pages. A contribution to Ian Kogan memorial volume. Minor corrections, a reference added
Scientific paper
We consider the theories obtained by dimensional reduction to D=1,2,3 of 4D supersymmetric Yang--Mills theories and calculate there the effective low-energy lagrangia describing moduli space dynamics -- the low-dimensional analogs of the Seiberg--Witten effective lagrangian. The effective theories thus obtained are rather beautiful and interesting from mathematical viewpoint. In addition, their study allows one to understand better some essential features of 4D supersymmetric theories, in particular -- the nonrenormalisation theorems.
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