Year: 2018
Type: article
Abstract: Double field theory is a manifestly T-duality invariant formulation of string theory in which the effective theory at any order of ${\ensuremath{\alpha}}^{\ensuremath{'}}$ is invariant under global $O(D,D)$ transformations and ought to be invariant under gauge transformations which receive ${\ensuremath{\alpha}}^{\ensuremath{'}}$-corrections. On the other hand, the effective theory in the usual $D$-dimensional formulation of string theory is manifestly gauge invariant and ought to be invariant under T-duality transformations which receive ${\ensuremath{\alpha}}^{\ensuremath{'}}$-corrections. We speculate that the combination of these two constraints may fix both the $2D$-dimensional and the $D$-dimensional effective actions without knowledge of the ${\ensuremath{\alpha}}^{\ensuremath{'}}$-corrections of the gauge and the T-duality transformations. In this paper, using generalized fluxes, we construct arbitrary $O(D,D)$-invariant actions at orders ${\ensuremath{\alpha}}^{\ensuremath{'}0}$ and ${\ensuremath{\alpha}}^{\ensuremath{'}}$, and then dimensionally reduce them to the $D$-dimensional spacetime. On the other hand, at these orders, we construct arbitrary covariant $D$-dimensional actions. Constraining the two $D$-dimensional actions to be equal up to noncovariant field redefinitions, we find that both actions are fixed up to overall factors and up to field redefinitions.
Author: Mohammad R. Garousi
Institution: Ferdowsi University of Mashhad
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funder: Ferdowsi University of Mashhad
Award: G7546879514
OpenAlex ID: W2804571692