Witten,s Equations
المؤلف:
Cipra, B.
المصدر:
"A Tale of Two Theories." What,s Happening in the Mathematical Sciences, 1995-1996, Vol. 3. Providence, RI: Amer. Math. Soc
الجزء والصفحة:
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28-6-2021
3896
Witten's Equations
For a connection 
and a positive spinor 
, Witten's equations (also called the Seiberg-Witten invariants) are given by
The solutions are called monopoles and are the minima of the functional
 |
(3)
|
REFERENCES:
Cipra, B. "A Tale of Two Theories." What's Happening in the Mathematical Sciences, 1995-1996, Vol. 3. Providence, RI: Amer. Math. Soc., pp. 14-25, 1996.
Donaldson, S. K. "The Seiberg-Witten Equations and 4-Manifold Topology." Bull. Amer. Math. Soc. 33, 45-70, 1996.
Kotschick, D. "Gauge Theory is Dead!--Long Live Gauge Theory!" Not. Amer. Math. Soc. 42, 335-338, 1995.
Seiberg, N. and Witten, E. "Monopoles, Duality, and Chiral Symmetry Breaking in 
Supersymmetric QCD." Nucl. Phys. B 431, 581-640, 1994.
Witten, E. "Monopoles and 4-Manifolds." Math. Res. Let. 1, 769-796, 1994.
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