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- Title
Cohomological Hall Algebras, Vertex Algebras and Instantons.
- Authors
Rapčák, Miroslav; Soibelman, Yan; Yang, Yaping; Zhao, Gufang
- Abstract
We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We identify this action with the one of the affine Yangian of gl (1) . Based on that we derive the vertex algebra at the corner W r 1 , r 2 , r 3 of Gaiotto and Rapčák. We conjecture that our approach works for a big class of Calabi–Yau categories, including those associated with toric Calabi–Yau 3-folds.
- Subjects
INSTANTONS; ALGEBRA; C*-algebras; WORKING class; VERTEX operator algebras
- Publication
Communications in Mathematical Physics, 2020, Vol 376, Issue 3, p1803
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-019-03575-5