Work

Homotopy representations of extended holomorphic symmetry in holomorphic twists

Year: 2025

Type: article

Abstract: We argue that holomorphic twists of supersymmetric field theories naturally come with a symmetry L ∞ -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 ∞ -algebra on (a graded version) of five-dimensional affine space.

Source: Journal of Geometry and Physics

DOI: 10.1016/j.geomphys.2025.105632

Authors: D. Simon H. Jonsson, Hyungrok Kim, Charles A.S. Young

Institution: University of Hertfordshire

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funder: Leverhulme Trust