I have a basic confusion about how to compute string scattering amplitudes in light cone gauge, using the operator formalism reviewed in GSW. I am familiar with the covariant gauge formalism, where I know how to use the state-operator correspondence to find the vertex operators corresponding to a physical state, but I'm not sure how to carry this over to light cone gauge.
To be specific, take the open string state αi−n|0,k⟩. A naive guess for the corresponding vertex operator is ∂nXieik⋅X. Is this right? If so, what is the relation between this operator and the DDF operator Ain? As far as I understand the DDF operator is supposed to be the covariant gauge realization of a light cone gauge state. Does this mean that the DDF operator Ain reduces to ∂nXiEik⋅X if one fixes light cone gauge?
The main quantity I am trying to compute is the scattering amplitude between three tachyons and a very massive state. If anyone knows a reference that does this in detail please let me know.