Massless Excitations of Long Strings in $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$

We consider the $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$ IIA superstring sigma model in the background of a “spinning string” classical solution with two charges. In the limit when one of the spins is infinite, there are massless excitations which govern the long-range worldsheet properties of the model. We obtain a sigma model of $\mathbb C\mathrm P^3$ with fermions which describes the dynamics of these massless modes.

Received in September 2010