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...inner integrated vertex operators. 2 An efficient recursive method for computing these d=10 massless amplitudes uses the pure spinor BRST cohomology techniques developed by Mafra and collaborators in =-=[1]-=-. It would be very interesting to relate their pure spinor recursive method with the amplitudes computed by the infinite tension pure spinor superstring. 1 Using the relation of pure spinors and RNS f...

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...ince they follow from the simple pole of the OPE between two integrated vertices. The BRST building blocks play a key role in the recursive BRST cohomology method to compute SYM tree-level amplitudes =-=[8,10]-=- and in obtaining a manifestly local representation of BCJ-satisfying [23] tree-level numerators [32]. However, their explicit superspace 6 Recall that in a topological conformal field theory Qb0 = L0...

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...tion 9 of this paper. 5 1.3. BRST cohomology considerations as a method to simplify computations Following observations based on the BRST structure of explicit lower-point results it was suggested in =-=[15]-=- that the field-theory amplitudes at tree-level could be uniquely obtained as pure spinor superspace expressions in the BRST cohomology. Indeed, the color-ordered N -point tree amplitude of SYM can be...

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...litudes in the pure spinor formalism is a consequence of BRST invariance independently of the α′ order, so the SYM amplitudes must also be BRST invariant. The above reasoning led to the conjecture in =-=[13]-=- that the n-point tree amplitudes of SYM could be obtained by requiring BRST invariance of linear combinations of VAVBVC with the appropriate kinematic pole structure. This conjecture eventually led t...