A. V. Marshakov, “Semiclassical geometry and integrability of the ads/cft correspondence”, TMF, 142:2 (2005), 265–283; Theoret. and Math. Phys., 142:2 (2005), 222

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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 142, Number 2, Pages 265–283
DOI: https://doi.org/10.4213/tmf1780 (Mi tmf1780)

This article is cited in 9 scientific papers (total in 9 papers)

Semiclassical geometry and integrability of the ads/cft correspondence

A. V. Marshakov^ab

^a P. N. Lebedev Physical Institute, Russian Academy of Sciences
^b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)

Full-text PDF (314 kB) Citations (9)

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DOI: https://doi.org/10.4213/tmf1780

Abstract: We discuss the semiclassical geometry and integrable systems related to the gauge-string duality. We analyze semiclassical solutions of the Bethe ansatz equations arising in the context of the AdS/CFT correspondence, comparing them to stationary phase equations for the matrix integrals. We demonstrate how the underlying geometry is related to the integrable sigma models of the dual string theory and investigate some details of this correspondence.

Keywords: strings, matrix models, integrable systems, Bethe ansatz, supersymmetric Yang–Mills theory.

English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 2, Pages 222–236
DOI: https://doi.org/10.1007/s11232-005-0006-0

Bibliographic databases:

Language: Russian

Citation: A. V. Marshakov, “Semiclassical geometry and integrability of the ads/cft correspondence”, TMF, 142:2 (2005), 265–283; Theoret. and Math. Phys., 142:2 (2005), 222–236

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1780

https://doi.org/10.4213/tmf1780

https://www.mathnet.ru/eng/tmf/v142/i2/p265

This publication is cited in the following 9 articles:

Vicedo B., “The method of finite-gap integration in classical and semi-classical string theory”, J. Phys. A: Math. Theor., 44:12 (2011), 124002
A. V. Marshakov, “Matrix models, complex geometry, and integrable systems: I”, Theoret. and Math. Phys., 147:2 (2006), 583–636
A. V. Marshakov, “Matrix models, complex geometry, and integrable systems: II$^*$”, Theoret. and Math. Phys., 147:3 (2006), 777–820
Dorey N., Vicedo B., “On the Dynamics of finite-gap solutions in classical string theory”, Journal of High Energy Physics, 2006, no. 7, 014
Berenstein D., Correa D.H., Vazquez S.E., “All loop BMN state energies from matrices”, Journal of High Energy Physics, 2006, no. 2, 048
L. O. Chekhov, A. V. Marshakov, A. D. Mironov, D. Vasiliev, “Complex Geometry of Matrix Models”, Proc. Steklov Inst. Math., 251 (2005), 254–292
Mann, N, “Bethe ansatz for a quantum supercoset sigma model”, Physical Review D, 72:8 (2005), 086002
Mikhailov A., “Anomalous dimension and local charges”, J. of High Energy Phys., 2005, no. 12
Andrei Mikhailov, “Anomalous dimension and local charges”, J. High Energy Phys., 2005:12 (2005), 009

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

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Abstract page:	558
Full-text PDF :	253
References:	105
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