superalgebra and (synthetic ) supergeometry
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
supersymmetric QCD, Nucl. Phys. B431 (1994) 484–550, hep-th/9408099
Reviews include
Jürgen Einhorn, Thomas Friedrich, Seiberg-Witten theory (pdf)
Simon Donaldson, The Seiberg-Witten equations and 4-manifold topology (pdf)
Matilde Marcolli, Seiberg-Witten gauge theory, pdf
piljin yi, Seiberg-Witten theory – with a view toward MQCD (pdf)
Wikipedia, Seiberg-Witten invariants
A useful discussion of the physical origins of the Seiberg-Witten equations for mathematicians is in
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)
On relation between Rozansky-Witten invariants and Seiberg-Witten invariants of 3-manifolds:
Last revised on October 26, 2023 at 13:28:33. See the history of this page for a list of all contributions to it.