On the field-antifield (a)symmetry of the pure spinor superstring

Abstract

In this work, the DDF-like approach to the pure spinor cohomology is extended to the next ghost number level, the so called antifields. In a direct (supersymmetric) parallel to the bosonic string, some properties of the ghost number two cohomology are derived with the enlargement of the DDF algebra. Also, the DDF conjugates of the b ghost zero mode emerge naturally from the extended algebra and the physical state condition is discussed. Unlike the bosonic string case, the cohomology analysis of the pure spinor b ghost is restricted to BRST-closed states.

54 pages (including review section and two appendices). Comments added in the Introduction. Published version

References in corpus (10)

• The closed-string 3-loop amplitude and S-duality
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• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
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• On the $\mathcal{N}$ = 4, d = 4 pure spinor measure factor
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Cited by in corpus (2)

• Connecting the ambitwistor and the sectorized heterotic strings
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism