Higher Symmetries in Twisted Eleven-Dimensional Supergravity

In supersymmetric theories, protected quantities can be reorganized into holomorphic-topological theories by twisting. Recently, it was observed by Jonsson, Kim, and Young that residual super-Poincaré symmetries in certain twisted theories can receive higher corrections, turning them into ∞ algebras...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Hahner, Fabian, Paquette, Natalie M., Raghavendran, Surya
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/214181
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Higher Symmetries in Twisted Eleven-Dimensional Supergravity. Fabian Hahner, Natalie M. Paquette and Surya Raghavendran. SIGMA 21 (2025), 100, 30 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Hahner, Fabian
Paquette, Natalie M.
Raghavendran, Surya
author_facet Hahner, Fabian
Paquette, Natalie M.
Raghavendran, Surya
citation_txt Higher Symmetries in Twisted Eleven-Dimensional Supergravity. Fabian Hahner, Natalie M. Paquette and Surya Raghavendran. SIGMA 21 (2025), 100, 30 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description In supersymmetric theories, protected quantities can be reorganized into holomorphic-topological theories by twisting. Recently, it was observed by Jonsson, Kim, and Young that residual super-Poincaré symmetries in certain twisted theories can receive higher corrections, turning them into ∞ algebras with non-strict actions on the twisted fields. In this note, we show that the same phenomenon occurs for the two admissible twists of eleven-dimensional supergravity. Along the way, we discuss in detail the connection between components of physical and twisted fields.
first_indexed 2026-03-15T10:42:34Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2026-03-15T10:42:34Z
publishDate 2025
publisher Інститут математики НАН України
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spelling Hahner, Fabian
Paquette, Natalie M.
Raghavendran, Surya
2026-02-20T07:53:36Z
2025
Higher Symmetries in Twisted Eleven-Dimensional Supergravity. Fabian Hahner, Natalie M. Paquette and Surya Raghavendran. SIGMA 21 (2025), 100, 30 pages
1815-0659
2020 Mathematics Subject Classification: 83E50; 17B81; 17B55
arXiv:2506.02246
https://nasplib.isofts.kiev.ua/handle/123456789/214181
https://doi.org/10.3842/SIGMA.2025.100
In supersymmetric theories, protected quantities can be reorganized into holomorphic-topological theories by twisting. Recently, it was observed by Jonsson, Kim, and Young that residual super-Poincaré symmetries in certain twisted theories can receive higher corrections, turning them into ∞ algebras with non-strict actions on the twisted fields. In this note, we show that the same phenomenon occurs for the two admissible twists of eleven-dimensional supergravity. Along the way, we discuss in detail the connection between components of physical and twisted fields.
We would like to thank K. Costello, N. Garner, and I. Saberi for helpful discussions. In addition, we would like to thank the anonymous referees for their useful suggestions. NP and FH are both supported by the DOE Early Career Research Program under award DE-SC0022924. NP is also supported by funds from the Department of Physics and the College of Arts & Sciences at the University of Washington, and the Simons Foundation as part of the Simons Collaboration on Celestial Holography.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Higher Symmetries in Twisted Eleven-Dimensional Supergravity
Article
published earlier
spellingShingle Higher Symmetries in Twisted Eleven-Dimensional Supergravity
Hahner, Fabian
Paquette, Natalie M.
Raghavendran, Surya
title Higher Symmetries in Twisted Eleven-Dimensional Supergravity
title_full Higher Symmetries in Twisted Eleven-Dimensional Supergravity
title_fullStr Higher Symmetries in Twisted Eleven-Dimensional Supergravity
title_full_unstemmed Higher Symmetries in Twisted Eleven-Dimensional Supergravity
title_short Higher Symmetries in Twisted Eleven-Dimensional Supergravity
title_sort higher symmetries in twisted eleven-dimensional supergravity
url https://nasplib.isofts.kiev.ua/handle/123456789/214181
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