Low--dimensional sisters of Seiberg-Witten effective theory

Abstract

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.

39 pages. A contribution to Ian Kogan memorial volume. Minor corrections, a reference added

References in corpus (2)

• Background field calculations and nonrenormalization theorems in 4d supersymmetric gauge theories and their low-dimensional descendants
• Symplectic sigma models in superspace

Cited by in corpus (8)

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• Gauging N=4 Supersymmetric Mechanics
• Background field calculations and nonrenormalization theorems in 4d supersymmetric gauge theories and their low-dimensional descendants
• Hierarchy of N=8 Mechanics Models
• Biharmonic Superspace for N=4 Mechanics
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• Witten index in supersymmetric 3d theories revisited
• Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics