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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 3, Pages 499–514
DOI: https://doi.org/10.4213/tmf10528 (Mi tmf10528) 		 
Sigma models as Gross–Neveu models. II

D. V. Bykovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10528
Abstract: We summarize some (mostly geometric) facts underlying the relation between $2$D integrable sigma models and generalized Gross–Neveu models, emphasizing connections to the theory of nilpotent orbits, Springer resolutions, and quiver varieties. This is meant to shed light on the general setup when this correspondence holds.
Keywords: sigma model, Gross–Neveu model, nilpotent orbit.
Funding agency Grant number
Russian Science Foundation 22-72-10122
This work was supported by the Russian Science Foundation under grant No. 22-72-10122, https://rscf.ru/en/project/22-72-10122/.
Received: 26.04.2023
Revised: 16.06.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 3, Pages 1842–1854
DOI: https://doi.org/10.1134/S0040577923120048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Bykov, “Sigma models as Gross–Neveu models. II”, TMF, 217:3 (2023), 499–514; Theoret. and Math. Phys., 217:3 (2023), 1842–1854
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
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\pages 1842--1854
\crossref{https://doi.org/10.1134/S0040577923120048}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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