$O(9,9)$ symmetry of NS-NS couplings at order ${\alpha }^{\prime 3}$

Abstract

Recently, imposing the $O(1,1)$ symmetry on the circle reduction of the classical effective action of string theory, we have found all NS-NS couplings of type II superstring theories at order ${\alpha }^{\prime 3}$. In this paper we use the cosmological reduction on the couplings and show that, up to field redefinitions and total derivative terms, they are invariant under the $O(9,9)$ transformations.

arXiv comment14 pages, Latex file, no figure

References in corpus (16)

• Target Space Duality in String Theory
• Noncompact Symmetries in String Theory
• An Introduction to T-Duality in String Theory
• xTras: a field-theory inspired xAct package for Mathematica
• Symmetries of higher-order string gravity actions
• Duality Beyond the First Loop
• Duality Invariant Cosmology to all Orders in ${\alpha }^{\prime }$
• Heterotic Effective Action and Duality Symmetries Revisited
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$
• T-duality Constraints on Higher Derivatives Revisited
• Four-derivative couplings via T-duality constraint
• String Dualities at Order ${\alpha }^{\prime 3}$
• Minimal gauge invariant couplings at order ${\alpha }^{\prime 3}$: NS-NS fields
• Surface terms in the effective actions via duality constraints
• T-duality constraint on R-R couplings

Cited by in corpus (7)

• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• Higher Derivative Supergravities in Diverse Dimensions
• Background independence of effective actions at critical dimension
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Higher-derivative field redefinitions in the presence of boundary
• $O(25,25)$ symmetry of bosonic string theory at order ${\alpha }^{\prime 2}$
• Effective action of string theory at order ${\alpha }^{\prime }$ in the presence of boundary