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Reviews of topical problems


Integrability structures in string theory

  a, b,   a
a Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
b National Research Centre Kurchatov Institute, pl. akad. 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.

Fulltext pdf (991 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2023.06.039407
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/
001222840200005
Citation: Gubarev K A, Musaev E T "Integrability structures in string theory" Phys. Usp. 67 219–250 (2024)
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Received: 20th, January 2023, revised: 7th, June 2023, 17th, June 2023

:   ,    « » 194 233–267 (2024); DOI: 10.3367/UFNr.2023.06.039407

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