  We will discuss two inequivalent generalizations of the standard (2,0)
supergravity action gr-qc/9501018 to include gravitational Chern-Simons term.
One is in the first order formalism where we treat \omega_{M}^{ab} as
independent and the other is in the second order formalism where
\omega_{M}^{ab} is determined in terms of other fields via a standard
constraint equation. The two theories have different equations of motion and
the solutions to the equations of motion of the first order theory spans only a
subset of those of the second order theory. We will be interested in computing
the boundary S-matrix, describing correlation functions in a dual conformal
field theory, in this sector and hence we use the equations of motion coming
out of the first order theory. We restrict ourselves to the gauge+fermionic
sector of the theory to compute the boundary S-matrix. We will also look at the
effect of higher derivative terms on the boundary S-matrix obtained using the
standard supergravity action.

High Energy Physics - Theory;General Relativity and Quantum Cosmology