The $\beta$-symmetry of supergravity

Abstract

Continuous O$(d,d)$ global symmetries emerge in Kaluza-Klein reductions of $D$-dimensional string supergravities to $D-d$ dimensions. We show that the non-geometric elements of this group effectively act in the $D$-dimensional parent theory as a hidden bosonic symmetry that fixes its couplings: the $\beta$-symmetry. We give the explicit $\beta$-transformations to first order in ${\alpha }^{\prime }$ and verify the invariance of the action as well as the closure of the transformation rules.

8 pages

References in corpus (5)

• Double Field Theory
• Double Field Theory at Order ${\alpha }^{\prime }$
• Frame-like Geometry of Double Field Theory
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction

Cited by in corpus (2)

• Fermionic T-duality of DFT
• Symmetries of non-maximal supergravities with higher-derivative corrections