Issues

 / 

1994

 / 

January

  

Reviews of topical problems


Integrability and matrix models


Russian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, ’conformal’ (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites (’W-constraints’), determinantal formulas and continuum limits, taking one kind of model into another. Subtle points and directions of the future research are also discussed.

Fulltext pdf (1.5 MB)
Fulltext is also available at DOI: 10.1070/PU1994v037n01ABEH000001
PACS: 02.10.+b, 11.17.+y
DOI: 10.1070/PU1994v037n01ABEH000001
URL: https://ufn.ru/en/articles/1994/1/a/
A1994NA86300001
Citation: Morozov A Yu "Integrability and matrix models" Phys. Usp. 37 1–55 (1994)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI Integrability and matrix models
AU Morozov A Yu
FAU Morozov AY
DP 10 Jan, 1994
TA Phys. Usp.
VI 37
IP 1
PG 1-55
RX 10.1070/PU1994v037n01ABEH000001
URL https://ufn.ru/en/articles/1994/1/a/
SO Phys. Usp. 1994 Jan 10;37(1):1-55

Îðèãèíàë: Ìîðîçîâ À Þ «Èíòåãðèðóåìîñòü è ìàòðè÷íûå ìîäåëè» ÓÔÍ 164 3–62 (1994); DOI: 10.3367/UFNr.0164.199401a.0003

References (113) Cited by (207) Similar articles (20)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions