"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. | ||
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| + | ==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 | ||
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| + | ==application to 4-manifolds== | ||
| + | * invariants of compact smooth 4-manifolds introduced by Witten (1994) | ||
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| + | ==related items== | ||
| + | * [[N=2 supersymmetric theory in d=4]] | ||
| + | * [[theory of 4-manifold]] | ||
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| + | ==encyclopedia== | ||
| + | |||
| + | * http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_gauge_theory | ||
| + | * http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_invariant | ||
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| + | ==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] | ||
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| + | ==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. | ||
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| + | [[분류:개인노트]] | ||
| + | [[분류:math and physics]] | ||
| + | [[분류:gauge theory]] | ||
| + | [[분류:supersymmetric gauge theory]] | ||
| + | [[분류:migrate]] | ||
2020년 11월 13일 (금) 05:27 판
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)
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”. 0706.3604 (6월 25). http://arxiv.org/abs/0706.3604
- Nastase
- 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
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.