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

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

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)

References:

PDF

HTML

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

\Bibitem{Che04}

\by L.~O.~Chekhov

\paper Genus-One Correction to Multicut Matrix Model Solutions

\jour TMF

\yr 2004

\vol 141

\issue 3

\pages 358--374

\mathnet{http://mi.mathnet.ru/tmf129}

\crossref{https://doi.org/10.4213/tmf129}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141134}

\zmath{https://zbmath.org/?q=an:1178.81217}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...141.1640C}

\transl

\jour Theoret. and Math. Phys.

\yr 2004

\vol 141

\issue 3

\pages 1640--1653

\crossref{https://doi.org/10.1023/B:TAMP.0000049759.01361.79}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000226332800003}

Linking options:

https://www.mathnet.ru/eng/tmf129

https://doi.org/10.4213/tmf129

https://www.mathnet.ru/eng/tmf/v141/i3/p358

This publication is cited in the following 28 articles:

Iwaki K., Marchal O., Saenz A., “Painlevé Equations, Topological Type Property and Reconstruction By the Topological Recursion”, J. Geom. Phys., 124 (2018), 16–54
Manabe M. Sulkowski P., “Quantum Curves and Conformal Field Theory”, Phys. Rev. D, 95:12 (2017), 126003
Penner R.C., “Moduli spaces and macromolecules”, Bull. Amer. Math. Soc., 53:2 (2016), 217–268
Eynard B., “Counting Surfaces: Crm Aisenstadt Chair Lectures”, Counting Surfaces: Crm Aisenstadt Chair Lectures, Progress in Mathematical Physics, 70, Birkhauser Boston, 2016, 1–414
Bertrand Eynard, Progress in Mathematical Physics, 70, Counting Surfaces, 2016, 53
Andersen J.E. Chekhov L.O. Penner R.C. Reidys Ch.M. Sulkowski P., “Topological Recursion for Chord Diagrams, Rna Complexes, and Cells in Moduli Spaces”, Nucl. Phys. B, 866:3 (2013), 414–443
Huang M.-x., “Dijkgraaf-Vafa Conjecture and Beta-Deformed Matrix Models”, J. High Energy Phys., 2013, no. 7, 173
L. O. Chekhov, “Logarithmic potential $\beta$ -ensembles and Feynman graphs”, Proc. Steklov Inst. Math., 272 (2011), 58–74
B. Eynard, Random Matrices, Random Processes and Integrable Systems, 2011, 415
Klitz, A, “Proof of the Lagrangean formalism of Hermitean 1-matrix models to all orders”, Journal of High Energy Physics, 2010, no. 1, 034
Manabe, M, “Topological open string amplitudes on local toric del Pezzo surfaces via remodeling the B-model”, Nuclear Physics B, 819:1–2 (2009), 35
Eynard, B, “Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence”, Journal of High Energy Physics, 2009, no. 3, 003
Flume, R, “A Lagrangean formalism for Hermitean matrix models”, Nuclear Physics B, 812:3 (2009), 322
Eynard, B, “Topological recursion in enumerative geometry and random matrices”, Journal of Physics A-Mathematical and Theoretical, 42:29 (2009), 293001
Marino M., “Open string amplitudes and large order behavior in topological string theory”, Journal of High Energy Physics, 2008, no. 3, 060
Eynard B., Orantin N., “Invariants of algebraic curves and topological expansion”, Communications in Number Theory and Physics, 1:2 (2007), 347–452
L. O. Chekhov, “Solving matrix models in $1/N$ -expansion”, Russian Math. Surveys, 61:3 (2006), 483–543
Chekhov L, “Matrix models with hard walls: geometry and solutions”, Journal of Physics A-Mathematical and General, 39:28 (2006), 8857–8893
Zabrodin A, Wiegmann P, “Large-N expansion for the 2D Dyson gas”, Journal of Physics A-Mathematical and General, 39:28 (2006), 8933–8963
Chekhov L., Eynard B., “Matrix eigenvalue model: Feynman graph technique for all genera”, Journal of High Energy Physics, 2006, no. 12, 026

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

Statistics & downloads:
Abstract page:	400
Full-text PDF :	194
References:	57
First page:	1

Что такое QR-код?

Registration to the website

Logotypes