One easily shows that this configurations satisfies the equations of motion and the Virasoro constraints.
A glance at Equations (4, 5) reveals that the cyclic coordinates of the action are leading to the conserved charges , corresponding to the energy and two spins on as well as the three angular momenta on the five sphere respectively. The energy and the first angular momentum are the only non vanishing conserved quantities of the above point-particle configuration and take the values (we also spell out for later use) was to consider the limit with the parameter held fixed. This limit of a large quantum number suppresses all the higher loop contributions beyond one-loop, i.e. , which arises from the geometry through a so-called Penrose limit (see [38, 39] for this construction). The quantization of this string model is straightforward in the light-cone gauge [88, 90] and leads to a free, massive two-dimensional theory for the transverse degrees of freedom () [94, 97, 104, 103].
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