Status Report on the Instanton Counting
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Status Report on the Instanton Counting
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| Creator |
Shadchin, S.
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| Description |
The non-perturbative behavior of the N = 2 supersymmetric Yang-Mills theories is both highly non-trivial and tractable. In the last three years the valuable progress was achieved in the instanton counting, the direct evaluation of the low-energy effective Wilsonian action of the theory. The localization technique together with the Lorentz deformation of the action provides an elegant way to reduce functional integrals, representing the effective action, to some finite dimensional contour integrals. These integrals, in their turn, can be converted into some difference equations which define the Seiberg-Witten curves, the main ingredient of another approach to the non-perturbative computations in the N = 2 super Yang-Mills theories. Almost all models with classical gauge groups, allowed by the asymptotic freedom condition can be treated in such a way. In my talk I explain the localization approach to the problem, its relation to the Seiberg-Witten approach and finally I give a review of some interesting results.
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| Date |
2019-02-09T17:21:09Z
2019-02-09T17:21:09Z 2006 |
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| Type |
Article
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| Identifier |
Status Report on the Instanton Counting / S. Shadchin // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 20 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 81T60; 81T13 http://dspace.nbuv.gov.ua/handle/123456789/146448 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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