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Theta expansion of first massive vertex operator in pure spinor

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A bstractWe provide the covariant superspace equations that are sufficient to determine the complete θ expansion of the vertex operator of the open string massive states with (mass)2 = 1/α′… Click to show full abstract

A bstractWe provide the covariant superspace equations that are sufficient to determine the complete θ expansion of the vertex operator of the open string massive states with (mass)2 = 1/α′ in pure spinor formalism of superstring theory. These equations get rid of the redundant degrees of freedom in superfields and are consistent with the BRST conditions derived in [1]. Further, we give the explicit θ expansion of the superfields appearing in the unintegrated vertex to O(θ3). Finally, we compute the contribution to a 3-point tree amplitude with the resulting vertex operator upto O(θ3) and find its kinematic structure to be identical to the corresponding RNS computation.

Keywords: vertex; vertex operator; theta expansion; pure spinor

Journal Title: Journal of High Energy Physics
Year Published: 2017

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