Courant sigma model and L_infinity algebras (CROSBI ID 278671)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Grewcoe, Clay James ; Jonke, Larisa
engleski
Courant sigma model and L_infinity algebras
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.
Courant algebroid ; L_infinity algebra ; sigma model
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Podaci o izdanju
68 (6)
2020.
2000021
19
objavljeno
0015-8208
1521-3978
10.1002/prop.202000021