It is well known that the action of General Relativity $$S = \frac{1}{16\pi G}\int R\;\sqrt{-g} d^D X$$ is invariant under "diffeomorphisms".

The low energy effective action for bosonic strings is

$$S = \frac{1}{2\kappa_0^2}\int d^D X\; \sqrt{-g}\; \mathrm{e}^{-2\Phi}\,(R-\frac{1}{12}H_{\mu\nu\lambda}H^{\mu\nu\lambda}+4 \partial_{\mu}\Phi\partial^{\mu}\Phi). \; \; (H=dB)$$ Is also the low energy effective action invariant under "diffeomorphism"?

Perhaps there is a sort of generalization to include gauge invariance in $B$ (Kalb-Ramond field) and in the dilaton. please, give references.

This post imported from StackExchange Physics at 2015-02-10 11:03 (UTC), posted by SE-user Anthonny