https://doi.org/10.1140/epjc/s10052-017-5418-0
Regular Article - Theoretical Physics
S- and T-self-dualities in dilatonic 
theories
1
Department of Physics, Boğaziçi University, 34342, Istanbul, Turkey
2
Department of Physics, İzmir Institute of Technology, 35430, Izmir, Turkey
* e-mail: tonguc.rador@boun.edu.tr
Received:
25
August
2017
Accepted:
27
November
2017
Published online:
6
December
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.
© The Author(s), 2017
