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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.07168 |
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| _version_ | 1866909134655324160 |
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| author | Grekov, Andrey Nekrasov, Nikita |
| author_facet | Grekov, Andrey Nekrasov, Nikita |
| contents | We review the limit shape problem for the Plancherel measure and its generalizations found in supersymmetric gauge theory instanton count. We focus on the measure, interpolating between the Plancherel measure and uniform measure, a U(1) case of N=2* gauge theory. We give the formula for its limit shape in terms of elliptic functions, generalizing the trigonometric ``arcsin'' law of Vershik-Kerov and Logan-Schepp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Elliptic analogue of Vershik-Kerov limit shape Grekov, Andrey Nekrasov, Nikita Mathematical Physics High Energy Physics - Theory Combinatorics Probability 60F15, 14H81, 81Q60 We review the limit shape problem for the Plancherel measure and its generalizations found in supersymmetric gauge theory instanton count. We focus on the measure, interpolating between the Plancherel measure and uniform measure, a U(1) case of N=2* gauge theory. We give the formula for its limit shape in terms of elliptic functions, generalizing the trigonometric ``arcsin'' law of Vershik-Kerov and Logan-Schepp. |
| title | Elliptic analogue of Vershik-Kerov limit shape |
| topic | Mathematical Physics High Energy Physics - Theory Combinatorics Probability 60F15, 14H81, 81Q60 |
| url | https://arxiv.org/abs/2403.07168 |