Abstract
In this work, we obtain a simple measure factor for the $\lambda$ and $\theta$ zero-mode integrations in the pure-spinor formalism in the context of an $\mathcal{N}$ = 4, d = 4 theory. We show that the measure can be defined unambiguously up to BRST-trivial terms and an overall factor, and is much simpler than (although equivalent to) the expression obtained by dimensional reduction from the $\mathcal{N}$ = 1, d = 10 measure factor. We also give two explicit examples of how to obtain the dual to a vertex operator using this measure.
Highlights
In this work, we obtain a simple measure factor for the λ and θ zero-mode integrations in the pure-spinor formalism in the context of an N = 4, d = 4 theory
We find that the N = 4, d = 4 measure factor is unique up to BRST-trivial terms and an overall factor
−iβ T5 − T†5 − T4 + T†4 (λ θ ) = −α T4 − T5 − T6 + H.c. This shows that the measure is unique up to BRST-trivial terms and an overall factor
Summary
Received: January 18, Revised: February 23, Accepted: March 6, Published: March 25, Thales Azevedo. ICTP South American Institute for Fundamental Research, Instituto de Fısica Teórica, UNESP - Univ. Ferraz 271, 01140-070, São Paulo, SP, Brasil
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