The European Physical Journal C, Dec 2017
We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S- or T-self-dualities. The theories we find are free of Ostrogradsky instabilities. We also show that within the framework we are confining ourselves, a theory of the form mentioned above cannot have both T- and S-dualities except for the case where the action is linear in the scalar curvature.
This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-017-5418-0.pdf
Tonguç Rador. S- and T-self-dualities in dilatonic \(f(R)\) theories, The European Physical Journal C, 2017, 834, DOI: 10.1140/epjc/s10052-017-5418-0