nLab Seiberg-Witten theory



Quantum field theory




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.



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

The original articles are

Reviews include

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)

Discussion of lifts of SW-invariants to M-theory includes

A lift of Seiberg-Witten invariants to classes in circle group-equivariant stable cohomotopy is discussed in

  • M. Furuta, (2001), Monopole Equation and the 11/8-Conjecture , Mathematical Research Letters 8: 279–291 (doi)

  • Stefan Bauer, Mikio Furuta, A stable cohomotopy refinement of Seiberg-Witten invariants: I (arXiv:math/0204340)

  • Stefan Bauer, A stable cohomotopy refinement of Seiberg-Witten invariants: II (arXiv:math/0204267)

Relation to Rozansky-Witten invariants

On relation between Rozansky-Witten invariants and Seiberg-Witten invariants of 3-manifolds:

  • Matthias Blau, George Thompson, On the Relationship between the Rozansky-Witten and the 3-Dimensional Seiberg-Witten Invariants, Adv. Theor. Math. Phys. 5 (2002) 483–498 (arXiv:hep-th/0006244)

Last revised on October 26, 2023 at 13:28:33. See the history of this page for a list of all contributions to it.