O(25,25) symmetry of bosonic string theory at order α′2

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 ' 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.

Automated summary

The paper explores the effects of circle reduction and cosmological reduction on the action, concluding that the action can be expressed in the O(25, 25)-invariant form proposed by Hohm and Zwiebach, with one-dimensional field redefinitions and total derivative terms accounted for.