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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 141, Number 3, Pages 358–374
DOI: https://doi.org/10.4213/tmf129 (Mi tmf129) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Genus-One Correction to Multicut Matrix Model Solutions

L. O. Chekhov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (264 kB) Citations (28)
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DOI: https://doi.org/10.4213/tmf129
Abstract: We calculate genus-one corrections to the Hermitian one-matrix model solution with an arbitrary number of cuts based on the loop equation, confirming the answer previously obtained from algebro-geometric considerations and generalizing it to the case of arbitrary potentials.
Keywords: loop equation, genus expansion, hyperelliptic geometry.
Received: 01.04.2004
English version:
Theoretical and Mathematical Physics, 2004, Volume 141, Issue 3, Pages 1640–1653
DOI: https://doi.org/10.1023/B:TAMP.0000049759.01361.79
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. O. Chekhov, “Genus-One Correction to Multicut Matrix Model Solutions”, TMF, 141:3 (2004), 358–374; Theoret. and Math. Phys., 141:3 (2004), 1640–1653
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v141/i3/p358
    • This publication is cited in the following 28 articles:
    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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    References:58
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