Grewcoe, Clay James; Jonke, Larisa
(2020)
Courant sigma model and L_infinity algebras.
Fortschritte der Physik, 68
(6).
ISSN 00158208
Abstract
The Courant sigma model is a 3dimensional topological sigma model of AKSZ type which has been used for the systematic description of closed strings in nongeometric 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.
Actions (login required)

View Item 
6689
WOS:000524271400001