'The one-loop effective action (EA) with an accuracy up to linear curvature terms in d=4 R2-gravity, conformal gravity, and N=1, d=4 conformal supergravity on the background R4×T4-k, k=1, 2, 3 is calculated. (Here, Rk is the k-dimensional curved space, Tn is the n-dimensional torus). The one-loop EA in multidimensional R2-gravity and in d=10 conformal supergravity on the background R4 ×Td-4 is also obtained. The mechanism of inducing the Einstein gravity from the EA of considered theories of higher derivative (super)gravity is presented.
ASJC Scopus subject areas
- Physics and Astronomy(all)