Generalized symmetries as homotopy Lie algebras

Jonke, Larisa (2023) Generalized symmetries as homotopy Lie algebras. The European Physical Journal Special Topics, 232 (23-24). pp. 3715-3721. ISSN 1951-6355

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Abstract

Homotopy Lie algebras are a generalization of differential graded Lie algebras encoding both the kinematics and dynamics of a given field theory. Focusing on kinematics, we show that these algebras provide a natural framework for the description of generalized gauge symmetries using two specific examples. The first example deals with the non-commutative gauge symmetry obtained using Drinfel’d twist of the symmetry Hopf algebra. The homotopy Lie algebra compatible with the twisted gauge symmetry turns out to be the recently proposed braided L_infinity-algebra. In the second example, we focus on the generalized gauge symmetry of the double field theory. The symmetry includes both diffeomorphisms and gauge transformation and can consistently be defined using a curved L_infinity-algebra.

Item Type:	Article
Uncontrolled Keywords:	homotopy algebras; gauge theory
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Simetrije u kvantnoj gravitaciji-SYMM4QG Larisa Jonke IP-2019-04-4168 HRZZ
Depositing User:	Larisa Jonke
Date Deposited:	16 Dec 2025 15:55
URI:	http://fulir.irb.hr/id/eprint/10553
DOI:	10.1140/epjs/s11734-023-00841-5

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