Manifest Moebius invariance of massive tree-level three-point amplitudes in pure spinor superspace

Abstract

Using BRST cohomology properties in pure spinor superspace and identities for OPE brackets of non-free fields, we obtain a new compact nested-bracket representation of massive tree-level three-point open-string amplitudes in which Moebius invariance is manifest. Explicit superspace calculations for amplitudes with level-one massive states confirm this finding, and we derive new BRST recurrence relations among three-point numerators to extend the result to arbitrary mass levels. This provides a manifestly Moebius-invariant expression for massive three-point amplitudes in the pure spinor formalism.

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Identifiers

ORCID for Chen Huang: orcid.org/0000-0002-8919-0044

ORCID for Carlos R. Mafra: orcid.org/0000-0001-9842-9654

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