"Seiberg-Witten theory"의 두 판 사이의 차이

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==introduction==
 
* Vortices and Monopoles and Instantons
 
* After describing the gauge theory of Electromagnetism, we shall define the 4-dimensional Seiberg-Witten invariant (sweeping much technical structure under the rug) and discuss its topological properties.
 
* Then we'll backtrack and try to see how this physics beast was born.
 
 
 
  
 
 
 
==4-manifolds==
 
* 1980's work of M. Freedman gave a new insight in the topological classification of simply connected compact 4-manifolds via their intersection forms
 
* Donaldson succeeded in establishing criteria how the intersection form can prevent a topological 4-manifold from being smoothable
 
 
 
 
==application to 4-manifolds==
 
* invariants of compact smooth 4-manifolds introduced by Witten (1994)
 
 
 
 
==related items==
 
* [[N=2 supersymmetric theory in d=4]]
 
* [[theory of 4-manifold]] 
 
 
==encyclopedia==
 
 
* http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_gauge_theory
 
* http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_invariant
 
 
 
 
==expositions==
 
* Bohn, Michael. 2007. “An introduction to Seiberg-Witten theory on closed 3-manifolds”. <em>0706.3604</em> (6월 25). http://arxiv.org/abs/0706.3604
 
* Nastase
 
** [http://www.ift.unesp.br/users/nastase/susystrings.pdf Susy, sugra, strings, branes, duality]
 
** [http://www.ift.unesp.br/users/nastase/duality.pdf Duality]
 
** [http://www.ift.unesp.br/users/nastase/susy.pdf Supersymmetry in 4d]
 
** [http://www.ift.unesp.br/users/nastase/sw.pdf Seiberg-Witten theory]
 
* Lerche, W. 1997. “Introduction to Seiberg-Witten Theory and Its Stringy Origin.” Fortschritte Der Physik. Progress of Physics 45 (3-4): 293–340. doi:10.1002/prop.2190450304.
 
===video lectues===
 
* Witten
 
** [http://video.ias.edu/pitp-2010-witten1 Seiberg-Witten Theory, Part 1]
 
** [http://video.ias.edu/pitp-2010-witten2 Seiberg-Witten Theory, Part 2]
 
 
 
==articles==
 
* Furuta, Mikio, and Shinichiroh Matsuo. “The Perturbation of the Seiberg-Witten Equations Revisited.” arXiv:1405.1219 [math], May 6, 2014. http://arxiv.org/abs/1405.1219.
 
* Seiberg, Nathan, and Edward Witten. “Gauge Dynamics And Compactification To Three Dimensions.” arXiv:hep-th/9607163, July 18, 1996. http://arxiv.org/abs/hep-th/9607163.
 
* Seiberg, N., and E. Witten. “Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory.” Nuclear Physics B 426, no. 1 (September 1994): 19–52. doi:10.1016/0550-3213(94)90124-4.
 
* Seiberg, N., and E. Witten. “Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD.” Nuclear Physics B 431, no. 3 (December 1994): 484–550. doi:10.1016/0550-3213(94)90214-3.
 
 
 
 
[[분류:개인노트]]
 
[[분류:math and physics]]
 
[[분류:gauge theory]]
 
[[분류:supersymmetric gauge theory]]
 

2020년 11월 13일 (금) 05:27 판