Operator Mapping between RNS and Extended Pure Spinor Formalisms for Superstring

Abstract

An explicit operator mapping in the form of a similarity transformation is constructed between the RNS formalism and an extension of the pure spinor formalism (to be called EPS formalism) recently proposed by the present authors. Due to the enlarged field space of the EPS formalism, where the pure spinor constraints are removed, the mapping is completely well-defined in contrast to the one given previously by Berkovits in the original pure spinor (PS) formalism. This map provides a direct demonstration of the equivalence of the cohomologies of the RNS and the EPS formalisms and is expected to be useful for better understanding of various properties of the PS and EPS formalisms. Furthermore, the method of construction, which makes systematic use of the nilpotency of the BRST charges, should find a variety of applications.

31 pages, no figure; a new subsection 5.2 on the proper Hilbert space and cohomology added, together with other minor corrections; published version

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Cited by in corpus (19)

• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring
• Origin of Pure Spinor Superstring
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Y-formalism in Pure Spinor Quantization of Superstrings
• On the b-antighost in the Pure Spinor Quantization of Superstrings
• Relating Green-Schwarz and Extended Pure Spinor Formalisms by Similarity Transformation
• Partition Functions of Pure Spinors
• Pure-spinor superstrings in d=2,4,6
• D-Brane Boundary States in the Pure Spinor Superstring
• Worldline Approach of Topological BF Theory
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• Covariant Map Between Ramond-Neveu-Schwarz and Pure Spinor Formalisms for the Superstring
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --