Status Report on the Instanton Counting
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 localiza...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146448 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Status Report on the Instanton Counting / S. Shadchin // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 20 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862595993927680000 |
|---|---|
| author | Shadchin, S. |
| author_facet | Shadchin, S. |
| citation_txt | Status Report on the Instanton Counting / S. Shadchin // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-11-27T14:28:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146448 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T14:28:37Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Shadchin, S. 2019-02-09T17:21:09Z 2019-02-09T17:21:09Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146448 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Status Report on the Instanton Counting Article published earlier |
| spellingShingle | Status Report on the Instanton Counting Shadchin, S. |
| title | Status Report on the Instanton Counting |
| title_full | Status Report on the Instanton Counting |
| title_fullStr | Status Report on the Instanton Counting |
| title_full_unstemmed | Status Report on the Instanton Counting |
| title_short | Status Report on the Instanton Counting |
| title_sort | status report on the instanton counting |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146448 |
| work_keys_str_mv | AT shadchins statusreportontheinstantoncounting |