nLab
Seiberg-Witten theory

Idea

Seiberg-Witten theory studies the moduli space of vacua in N=2 D=4 super Yang-Mills theory, in particular the electric-magnetic duality (Montonen-Olive duality) of the theory.

Related concepts

• Chern-Simons theory, topological Yang-Mills theory

References

For more and for general references see at N=2 D=4 super Yang-Mills theory.

The original article is

• Nathan Seiberg, Edward Witten, Monopole Condensation, And Confinement In $N=2$ Supersymmetric Yang-Mills Theory. Nucl.Phys.B426:19-52,1994; Erratum-ibid.B430:485-486,1994 (arXiv:hep-th/9407087)

Reviews include

• Jürgen Eihhorn, Thomas Friedrich, Seiberg-Witten theory (pdf)

• Simon Donaldson, The Seiberg-Witten equations and 4-manifold topology (pdf)

• Matilde Marcolli, Seiberg-Witten gauge theory, pdf

A useful discussion of the physical origins of the Seiberg-Witten equations for mathematicians is in

• Siye Wu, The Geometry and Physics of the Seiberg-Witten Equations, Progress in mathematics, volume 205 (2002)