Spectrum generating algebra for the pure spinor superstring

preprint2015arXivOpen access

Abstract

In this work, a DDF-like construction within the pure spinor formalism is presented. Starting with the light-cone massless vertices, the creation/annihilation algebra is derived in a simple manner, enabling a systematic construction of the physical vertex operators at any mass level in terms of SO(8)SO\left(8\right) superfields, in both integrated and unintegrated forms.

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