Miura operators, degenerate fields and the M2-M5 intersection

Abstract We determine the mathematical structures which govern the Ω deformation of supersymmetric intersections of M2 and M5 branes. We find that the supersymmetric intersections govern many aspects of the theory of W-algebras, including degenerate modules, the Miura transform and Coulomb gas const...

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Main Authors: Davide Gaiotto, Miroslav Rapčák
Format: Article
Language:English
Published: SpringerOpen 2022-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2022)086
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author Davide Gaiotto
Miroslav Rapčák
author_facet Davide Gaiotto
Miroslav Rapčák
author_sort Davide Gaiotto
collection DOAJ
description Abstract We determine the mathematical structures which govern the Ω deformation of supersymmetric intersections of M2 and M5 branes. We find that the supersymmetric intersections govern many aspects of the theory of W-algebras, including degenerate modules, the Miura transform and Coulomb gas constructions. We give an algebraic interpretation of the Pandharipande-Thomas box counting in ℂ3.
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spelling doaj.art-b1bae84bf39941e39c56b09542b55a542022-12-21T19:44:11ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022118010.1007/JHEP01(2022)086Miura operators, degenerate fields and the M2-M5 intersectionDavide Gaiotto0Miroslav Rapčák1Perimeter Institute for Theoretical PhysicsCenter for Theoretical Physics, University of CaliforniaAbstract We determine the mathematical structures which govern the Ω deformation of supersymmetric intersections of M2 and M5 branes. We find that the supersymmetric intersections govern many aspects of the theory of W-algebras, including degenerate modules, the Miura transform and Coulomb gas constructions. We give an algebraic interpretation of the Pandharipande-Thomas box counting in ℂ3.https://doi.org/10.1007/JHEP01(2022)086Conformal and W SymmetryM-TheoryIntegrable HierarchiesTopological Field Theories
spellingShingle Davide Gaiotto
Miroslav Rapčák
Miura operators, degenerate fields and the M2-M5 intersection
Journal of High Energy Physics
Conformal and W Symmetry
M-Theory
Integrable Hierarchies
Topological Field Theories
title Miura operators, degenerate fields and the M2-M5 intersection
title_full Miura operators, degenerate fields and the M2-M5 intersection
title_fullStr Miura operators, degenerate fields and the M2-M5 intersection
title_full_unstemmed Miura operators, degenerate fields and the M2-M5 intersection
title_short Miura operators, degenerate fields and the M2-M5 intersection
title_sort miura operators degenerate fields and the m2 m5 intersection
topic Conformal and W Symmetry
M-Theory
Integrable Hierarchies
Topological Field Theories
url https://doi.org/10.1007/JHEP01(2022)086
work_keys_str_mv AT davidegaiotto miuraoperatorsdegeneratefieldsandthem2m5intersection
AT miroslavrapcak miuraoperatorsdegeneratefieldsandthem2m5intersection