A. V. Popolitov, “Relation between Nekrasov functions and Bohr–Sommerfeld periods in the pure $SU(N)$ case”, TMF, 178:2 (2014), 274–289; Theoret. and Math. Phys., 178:2 (2014), 239

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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

S U (N)

$SU(N)$ case

A. V. Popolitov

Institute for Theoretical and Experimental Physics, Moscow, Russia

Full-text PDF (530 kB) Citations (6)

References:

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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 (ℏ^{6}, \ln Λ)

$o(\hbar^6, \ln\Lambda)$ for arbitrary

N

$N$ (giving explicit formulas. Moreover, we present the calculation details that are needed for verification using a computer. This allows verifying the conjecture up to

ℏ^{6}

$\hbar^6$ and polynomial degrees of

Λ

$\Lambda$ for

N = 2, 3, 4

$N=2,3,4$ . We consider only the case of the pure

S U (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

S U (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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Linking options:

https://www.mathnet.ru/eng/tmf8565

https://doi.org/10.4213/tmf8565

https://www.mathnet.ru/eng/tmf/v178/i2/p274

This publication is cited in the following 6 articles:

Bruno Le Floch, “A slow review of the AGT correspondence”, J. Phys. A: Math. Theor., 55:35 (2022), 353002
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
K. Ito, T. Okubo, “Quantum periods for $\mathcal{N}=2$ $SU(2)$ SQCD around the superconformal point”, Nucl. Phys. B, 934 (2018), 356–379
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
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	540
Full-text PDF :	198
References:	84
First page:	21

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