Homotopy representations of extended holomorphic symmetry in holomorphic twists

Autor:	Jonsson, Simon, Kim, Hyungrok, Young, Charles Alastair Stephen
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Mathematical Physics 81T13 (Primary) 17B55 17B81 32A38 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We argue that holomorphic twists of supersymmetric field theories naturally come with a symmetry $L_\infty$-algebra that nontrivially extends holomorphic symmetry. This symmetry acts on spacetime fields only up to homotopy, and the extension is only visible at the level of higher components of the action. We explicitly compute this for the holomorphic twist of ten-dimensional supersymmetric Yang-Mills theory, which produces a nontrivial action of a higher $L_\infty$-algebra on (a graded version) of five-dimensional affine space. Comment: 26 pages. Added additional references and minor clarifications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.00704 Zobrazit plný text záznamu View this record from Arxiv