f(R) Theories of Supergravities and Pseudo-supergravities

Understand

We present f(R) theories of ten-dimensional supergravities, including the fermionic sector up to the quadratic order in fermion fields.

• They are obtained by performing the conformal scaling on the usual supergravities to the f(R) frame in which the dilaton becomes an auxiliary field and can be integrated out.
• The f(R) frame coincides with that of M-theory, D2-branes or NS-NS 5-branes.
• We study various BPS p-brane solutions and their near-horizon AdS \times sphere geometries in the context of the f(R) theories.