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We study the action of the Burg-Metzner-Sachs (BMS) group in critical, bosonic string theory living on a target space of the form M^d. Here M^d is d-dimensional (asymptotically) flat spacetime and C is an arbitrary compactification. We provide a treatment of generalized Ward-Takahashi identities and derive consistent boundary conditions for any d from string theory considerations. Finally, we derive BMS transformations in higher-dimensional spacetimes and show that the generalized Ward-Takahashi identity of BMS produces Weinberg's soft theorem in string theory.
Avery et al. (Thu,) studied this question.