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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 178, Number 2, Pages 274–289
DOI: https://doi.org/10.4213/tmf8565 (Mi tmf8565) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Relation between Nekrasov functions and Bohr–Sommerfeld periods in the pure SU(N)SU(N) case

A. V. Popolitov

Institute for Theoretical and Experimental Physics, Moscow, Russia
Full-text PDF (530 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8565
Abstract: We investigate the duality between the Nekrasov function and the quantized Seiberg–Witten prepotential. We test the hypothesis more thoroughly than has yet been done and do not discuss the motivation and historical context of this duality. We verify the conjecture analytically up to o(ℏ6,lnΛ)o(ℏ6,lnΛ) for arbitrary NN (giving explicit formulas. Moreover, we present the calculation details that are needed for verification using a computer. This allows verifying the conjecture up to ℏ6ℏ6 and polynomial degrees of ΛΛ for N=2,3,4N=2,3,4. We consider only the case of the pure SU(N)SU(N) gauge theory.
Keywords: gauge theory, integrable system.
Received: 20.06.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 178, Issue 2, Pages 239–252
DOI: https://doi.org/10.1007/s11232-014-0139-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Popolitov, “Relation between Nekrasov functions and Bohr–Sommerfeld periods in the pure SU(N)SU(N) case”, TMF, 178:2 (2014), 274–289; Theoret. and Math. Phys., 178:2 (2014), 239–252
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    1. Bruno Le Floch, “A slow review of the AGT correspondence”, J. Phys. A: Math. Theor., 55:35 (2022), 353002  crossref
    2. Ito K., Koizumi S., Okubo T., “Quantum Seiberg-Witten Periods For N=2 Su(N-C) Sqcd Around the Superconformal Point”, Nucl. Phys. B, 954 (2020), 115004  crossref  mathscinet  isi
    3. K. Ito, T. Okubo, “Quantum periods for $\mathcal{N}=2$ $SU(2)$ SQCD around the superconformal point”, Nucl. Phys. B, 934 (2018), 356–379  crossref  mathscinet  zmath  isi  scopus
    4. Beccaria M. Fachechi A. Macorini G. Martina L., “Exact partition functions for deformed $\mathcal{N}=2 $ theories with $ {\mathcal{N}}_f=4 $ flavours”, J. High Energy Phys., 2016, no. 12, 029  crossref  mathscinet  isi  elib  scopus
    5. Beccaria M., Macorini G., “Exact partition functions for the $\Omega$-deformed $ \mathcal{N}={2}^*$ $\mathrm{SU(2)}$ gauge theory”, J. High Energy Phys., 2016, no. 7, 066  crossref  isi  scopus
    6. Beccaria M., “On the large $\Omega$-deformations in the Nekrasov–Shatashvili limit of $ \mathcal{N}={2}^{*} $ SYM”, J. High Energy Phys., 2016, no. 7, 055  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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