Effective action of bosonic string theory at order ${\alpha }^{\prime 2}$

Abstract

Recently, it has been shown that the gauge invariance requires the minimum number of independent couplings for $B$-field, metric and dilaton at order ${\alpha }^{\prime 2}$ to be 60. In this paper we fix the corresponding 60 parameters in string theory by requiring the couplings to be invariant under the global T-duality transformations. The Riemann cubed terms are exactly the same as the couplings that have been found by the S-matrix calculations.

18 pages, Latex file, no figure; V2: the version appears in EPJC; V3: a sign typo corrected

References in corpus (5)

• Double Field Theory
• Duality and Dilaton
• Heterotic $\alpha$'-corrections in Double Field Theory
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Four-derivative couplings via T-duality constraint

Cited by in corpus (24)

• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• Duality Invariance and Higher Derivatives
• On NS-NS couplings 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
• The $\beta$-symmetry of supergravity
• Background independence of effective actions at critical dimension
• $O(9,9)$ symmetry of NS-NS couplings at order ${\alpha }^{\prime 3}$
• 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
• String theory at order ${\alpha }^{\prime 2}$ and the generalized Bergshoeff-de Roo identification
• Couplings of order six in the gauge field strength and the second fundamental form on a D${}_p$-brane at order ${\alpha }^{\prime 2}$
• Higher-derivative couplings and torsional Riemann curvature
• O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength
• Surface terms in effective action of O-plane at order ${\alpha }^{\prime 2}$
• T-duality constraint on R-R couplings
• The data on the boundary at order ${\alpha }^{\prime }$
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Six-Derivative Yang-Mills Couplings in Heterotic String Theory
• T-duality of D-brane versus O-plane actions
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• Minimal gauge invariant couplings at order ${\ell }_p^6$ in M-theory