$O(25,25)$ symmetry of bosonic string theory at order ${\alpha }^{\prime 2}$

Abstract

It has been recently observed that the imposition of the $O(1,1)$ symmetry on the circle reduction of the classical effective action of string theory, can fix the effective action of the bosonic string theory at order ${\alpha }^{\prime 2}$, up to an overall factor. In this paper, we use the cosmological reduction on the action and show that, up to one-dimensional field redefinitions and total derivative terms, it can be written in the $O(25,25)$-invariant form proposed by Hohm and Zwiebach.

14 pages, Latex file, no figure. arXiv admin note: substantial text overlap with arXiv:2105.07598; v2:it appears in EPJC

References in corpus (6)

• Heterotic Effective Action and Duality Symmetries Revisited
• Effective action of type II superstring theories at order ${\alpha }^{\prime 3}$: NS-NS couplings
• Four-derivative couplings via T-duality constraint
• String Tension between de Sitter vacua and Curvature Corrections
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Cited by in corpus (5)

• General String Cosmologies at Order ${\alpha }^{\prime }{}^3$
• 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
• Effective action of string theory at order ${\alpha }^{\prime }$ in the presence of boundary