Naslov
Sigma models for genuinely non-geometric backgrounds

Autori
Chatzistavrakidis, Athanasios ; Jonke, Larisa ; Lechtenfeld, Olaf

Izvornik
The Journal of high energy physics (1126-6708) 6 (2015), 11; 182-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Sigma Models ; String Duality ; Flux compactifications

Sažetak
The existence of genuinely non-geometric backgrounds, i.e. ones without geometric dual, is an important question in string theory. In this paper we examine this question from a sigma model perspective. First we construct a particular class of Courant algebroids as protobialgebroids with all types of geometric and non-geometric fluxes. For such structures we apply the mathematical result that any Courant algebroid gives rise to a 3D topological sigma model of the AKSZ type and we discuss the corresponding 2D field theories. It is found that these models are always geometric, even when both 2-form and 2-vector fields are neither vanishing nor inverse of one another. Taking a further step, we suggest an extended class of 3D sigma models, whose world volume is embedded in phase space, which allow for genuinely non-geometric backgrounds. Adopting the doubled formalism such models can be related to double field theory, albeit from a world sheet perspective.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA