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Courant sigma model and L_infinity algebras

Grewcoe, Clay James; Jonke, Larisa (2020) Courant sigma model and L_infinity algebras. Fortschritte der Physik, 68 (6). ISSN 0015-8208

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The Courant sigma model is a 3-dimensional topological sigma model of AKSZ type which has been used for the systematic description of closed strings in non-geometric flux backgrounds. In particular, the expression for the fluxes and their Bianchi identities coincide with the local form of the axioms of a Courant algebroid. On the other hand, the axioms of a Courant algebroid also coincide with the conditions for gauge invariance of the Courant sigma model. In this paper we embed this interplay between background fluxes of closed strings, gauge (or more precisely BRST) symmetries of the Courant sigma model and axioms of a Courant algebroid into an L∞- algebra structure. We show how the complete BV- BRST formulation of the Courant sigma model is described in terms of L∞-algebras. Moreover, the morphism between the L∞-algebra for a Courant algebroid and the one for the corresponding sigma model is constructed.

Item Type: Article
Uncontrolled Keywords: Courant algebroid ; L_infinity algebra ; sigma model
Subjects: NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Simetrije u kvantnoj gravitacijiJonke, LarisaIP-2019-04-4168HRZZ
Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer BoškovićMelic, BlazenkaKK.
Depositing User: Larisa Jonke
Date Deposited: 15 Nov 2021 15:05
DOI: 10.1002/prop.202000021

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