We now look to the LC quantisation of the string. The first thing to note is that the commutation relation translates on the coefficients of the Fourier mode expansion...

It follows that we now want to turn our focus to quantising the string. Following Polchinski, we shall first take the approach of light-cone quantisation (LCQ)...

when we do the Fourier mode expansion for the wave equation, the function must vanish at both ends of the string. So we must expand in terms of cosine's...

The fiducial metric comes from the gauge freedom we're afforded from the symmetries of the action, enabling us "to eliminate the integration over the metric.."

Let's engage in further discussion about the symmetries of the Polyakov action. As it is an important topic, it will serve as...

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