## FANDOM

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 Attribution: This question is taken from this Maths Overflow question by "Dilaton" with it's answer given by "Samuel Monnier".

## QuestionEdit

Does fixing the reparameterisation invariance of the string action, for example by choosing the light-cone gauge

$X^{+} = \beta\alpha' p^{+}\tau$

$p^{+} = \frac{2\pi}{\beta} P^{\tau +}$

correspond to some kind of orbifolding?

This answer explains that gauge systems are orbifolds after removing the gauge redundancy. So, as the reparameterization invariance of the string action is nothing else but the worldsheet diffeomorphism invariance which is a gauge symmetry, does fixing it by the light-cone gauge correspond to some kind of orbifolding too?

And if so, what are the characteristics of this orbifold, what singularities does it have, and is there some kind of double strike which projects certain states out of the theory and leads at the same time to the emergence new ones?

If this way of thinking is wrong, I would highly appreciate any clarifications of what I am confusing.