Bibliographic Details
| Title: |
Modifications of bundles, elliptic integrable systems, and related problems. |
| Authors: |
Zotov, A. V.1,2,3 zotov@itep.ru, Smirnov, A. V.1,4 asmirnov@itep.ru |
| Source: |
Theoretical & Mathematical Physics. Oct2013, Vol. 177 Issue 1, p1281-1338. 58p. |
| Subjects: |
Elliptic integrals, Characteristic classes, Quantum theory, R-matrices, Painlevé equations, Elliptic curves, Duality theory (Mathematics) |
| Abstract: |
We describe a construction of elliptic integrable systems based on bundles with nontrivial characteristic classes, especially attending to the bundle-modification procedure, which relates models corresponding to different characteristic classes. We discuss applications and related problems such as the Knizhnik-Zamolodchikov-Bernard equations, classical and quantum R-matrices, monopoles, spectral duality, Painlevé equations, and the classical-quantum correspondence. For an SL(N,ℂ)-bundle on an elliptic curve with nontrivial characteristic classes, we obtain equations of isomonodromy deformations. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
