Integrability structures in string theory

K.A. Gubarev^†^a, b, E.T. Musaev^‡^a
^aMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russian Federation
^bNational Research Centre ‘Kurchatov Institute’, pl. Akademika Kurchatova 1, Moscow, 123182, Russian Federation

This review is a collection of various methods and observations relevant to structures in three-dimensional systems similar to those responsible for the integrability of two-dimensional systems. Particular focus is on Nambu structures and loop variables naturally appearing in membrane dynamics. While reviewing each topic in more detail, we emphasize connections among them and speculate on possible relations to membrane integrability.

Correspondence should be addressed to
Keywords: integrability, Nambu structure, loop algebra, membranes, M-theory
PACS: 02.30.Ik, 04.65.+e, 11.25.−w (all)
DOI: 10.3367/UFNe.2023.06.039407
URL: https://ufn.ru/en/articles/2024/3/a/
Web of Science

001222840200005
Scopus

2-s2.0-85191884316
ADS NASA

2024PhyU...67..219G
Citation: Gubarev K A, Musaev E T "Integrability structures in string theory" Phys. Usp. 67 219–250 (2024)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 20th, January 2023, revised: 7th, June 2023, accepted: 17th, June 2023

Оригинал: Губарев К А, Мусаев Э Т «Интегрируемые структуры в теории струн» УФН 194 233–267 (2024); DOI: 10.3367/UFNr.2023.06.039407

References (185) Cited by (6) Similar articles (20) ↓

S.G. Gukov “Introduction to string dualities” Phys. Usp. 41 627–638 (1998)
A.V. Marshakov “String theory or field theory?” Phys. Usp. 45 915–954 (2002)
K.L. Zarembo, Yu.M. Makeenko “An introduction to matrix superstring models” Phys. Usp. 41 1–23 (1998)
M.I. Vysotskii “Supersymmetric models of elementary particles—the physics for new-generation accelerators?” Sov. Phys. Usp. 28 667–693 (1985)
M.I. Tribel’skii “Short-wavelength instability and transition to chaos in distributed systems with additional symmetry” Phys. Usp. 40 159–180 (1997)
L.A. Zubkov, V.P. Romanov “Critical opalescence” Sov. Phys. Usp. 31 328–353 (1988)
N.D. Kondratyuk, V.V. Pisarev “Theoretical and computational approaches to predicting the viscosity of liquids” Phys. Usp. 66 410–432 (2023)
Ya.S. Lyakhova, G.V. Astretsov, A.N. Rubtsov “Mean-field concept and post-DMFT methods in the modern theory of correlated systems” Phys. Usp. 66 775–793 (2023)
A.V. Tutukov, S.V. Vereshchagin “Destruction of astronomical systems: theory and observations” Phys. Usp. 66 859–884 (2023)
S.N. Vergeles, N.N. Nikolaev et al “General relativity effects in precision spin experimental tests of fundamental symmetries” Phys. Usp. 66 109–147 (2023)
V.E. Panchuk, Yu.Yu. Balega et al “Study of exoplanets by spectroscopic methods” Phys. Usp. 63 562–582 (2020)
T.V. Tropin, Ju.W.P. Schmelzer, V.L. Aksenov “Modern aspects of the kinetic theory of glass transition” Phys. Usp. 59 42–66 (2016)
V.L. Popov, A.E. Filippov, S.N. Gorb “Biological microstructures with high adhesion and friction. Numerical approach” Phys. Usp. 59 829–845 (2016)
A.D. Pogrebnjak, A.P. Shpak et al “Structures and properties of hard and superhard nanocomposite coatings” Phys. Usp. 52 29–54 (2009)
A.A. Shashkin “Metal-insulator transitions and the effects of electron-electron interactions in two-dimensional electron systems” Phys. Usp. 48 129–149 (2005)
Yu.N. Lyubitov “Effusion and processes on the surface” Sov. Phys. Usp. 19 670–696 (1976)
A.D. Panov, D.M. Podorozhnyi, A.N. Turundaevskii “Direct observations of cosmic rays: state of the art” Phys. Usp. 67 639–667 (2024)
A.V. Slunyaev, D.E. Pelinovsky, E.N. Pelinovsky “Rogue waves in the sea: observations, physics, and mathematics” Phys. Usp. 66 148–172 (2023)
B.A. Klumov “Universal structural properties of three-dimensional and two-dimensional melts” Phys. Usp. 66 288–311 (2023)
N.A. Veretenov, N.N. Rosanov, S.V. Fedorov “Laser solitons: topological and quantum phenomena” Phys. Usp. 65 131–162 (2022)

The list is formed automatically.