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How does one arrive at the relation of commutator $\left[M^{-i}, M^{-j}\right]$ of Lorentz generators $M^i$ in terms of the string modes $\alpha_n^i$?
I am reading the book "String theory demystified" by David McMahon.
On page 149, the author discusses the "critical dimension" for superstrings.
the number of spacetime dimensions ...
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Why Must Conserved Currents of Lorentz Symmetry Satisfy the Lorentz Algebra?
I've seen it written many times that the commutation relation
$$[M^{I-},M^{J-}]=0$$
is required for Lorentz invariance in the light cone gauge quantisation of the bosonic string. This follows ...