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It is said that the Virasoro algebra/constraint is the most important algebra is string theory.

(i) Why is that?

(ii) How is it related to the world-sheet conformal symmetry?

(iii) How do I see that the Virasoro constraints are the vanishing of the stress tensor, which can be solved classically in the light-cone gauge?

Thanks

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# Virasoro Algebra

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