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 TMF, 1993, Volume 95, Number 2, Pages 317–340 (Mi tmf1470)

On the continuum limit of the conformal matrix models

A. D. Mironov, S. Z. Pakulyak

Abstract: The double scaling limit of a new class of the multi-matrix models proposed in [1], which possess the $W$-symmetry at the discrete level, is investigated in details. These models are demonstrated to fall into the same universality class as the standard multi-matrix models. In particular, the transformation of the $W$-algebra at the discrete level into the continuum one of the paper [2] is proposed, the corresponding partition functions being compared. All calculations are demonstrated in full in the first non-trivial case of $W^{(3)}$-constraints.

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Theoretical and Mathematical Physics, 1993, 95:2, 604–625

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Citation: A. D. Mironov, S. Z. Pakulyak, “On the continuum limit of the conformal matrix models”, TMF, 95:2 (1993), 317–340; Theoret. and Math. Phys., 95:2 (1993), 604–625

Citation in format AMSBIB
\Bibitem{MirPak93} \by A.~D.~Mironov, S.~Z.~Pakulyak \paper On the continuum limit of the conformal matrix models \jour TMF \yr 1993 \vol 95 \issue 2 \pages 317--340 \mathnet{http://mi.mathnet.ru/tmf1470} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1243258} \zmath{https://zbmath.org/?q=an:0852.35135} \transl \jour Theoret. and Math. Phys. \yr 1993 \vol 95 \issue 2 \pages 604--625 \crossref{https://doi.org/10.1007/BF01017146} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993ML10100015} 

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

This publication is cited in the following articles:
1. Alexandrov A, Morozov A, Mironov A, “Partition functions of matrix models: First special functions of string theory”, International Journal of Modern Physics A, 19:24 (2004), 4127–4163
2. A. S. Alexandrov, A. D. Mironov, A. Yu. Morozov, “Partition functions of matrix models as the first special functions of string theory: Finite Hermitian one-matrix model”, Theoret. and Math. Phys., 142:3 (2005), 349–411
3. Morozov A., “Challenges of matrix models”, String Theory: From Gauge Interactions to Cosmology, Nato Science Series, Series II: Mathematics, Physics and Chemistry, 208, 2006, 129–162
4. Alexandrov, A, “BGWM as second constituent of complex matrix model”, Journal of High Energy Physics, 2009, no. 12, 053
5. Alexandrov, A, “PARTITION FUNCTIONS OF MATRIX MODELS AS THE FIRST SPECIAL FUNCTIONS OF STRING THEORY II. KONTSEVICH MODEL”, International Journal of Modern Physics A, 24:27 (2009), 4939
6. Mironov A., Morozov A., “Virasoro constraints for Kontsevich-Hurwitz partition function”, Journal of High Energy Physics, 2009, no. 2, 024
7. Alexandrov A. Mironov A. Morozov A. Natanzon S., “On KP-Integrable Hurwitz Functions”, J. High Energy Phys., 2014, no. 11, 080
8. Awata H., Kanno H., Matsumoto T., Mironov A., Morozov A., Morozov A., Ohkubo Yu., Zenkevich Y., “Explicit examples of DIM constraints for network matrix models”, J. High Energy Phys., 2016, no. 7, 103
9. Andrei Mironov, Alexei Morozov, “Check-Operators and Quantum Spectral Curves”, SIGMA, 13 (2017), 047, 17 pp.
10. Mironov A. Morozov A., “On Determinant Representation and Integrability of Nekrasov Functions”, Phys. Lett. B, 773 (2017), 34–46
11. Aminov G. Mironov A. Morozov A., “Modular Properties of 6D (Dell) Systems”, J. High Energy Phys., 2017, no. 11, 023
12. Mironov A., Morozov A., “Q-Painleve Equation From Virasoro Constraints”, Phys. Lett. B, 785 (2018), 207–210
13. Morozov A., “Cauchy Formula and the Character Ring”, Eur. Phys. J. C, 79:1 (2019), 76
14. Morozov A., “On W-Representations of Beta- and Q, T-Deformed Matrix Models”, Phys. Lett. B, 792 (2019), 205–213
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