Abstract
The algebra of spacetime supersymmetry generators in the RNS formalism for the superstring closes only up to a picture-changing operation. After adding non-minimal variables and working in the “large” Hilbert space, the algebra closes without picture-changing and spacetime supersymmetry can be made manifest. The resulting non-minimal version of the RNS formalism is related by a field redefinition to the pure spinor formalism.
Highlights
The resulting non-minimal version of the RNS formalism is related by a field redefinition to the pure spinor formalism
The first step to making spacetime supersymmetry manifest in the RNS formalism is to work in the “large” Hilbert space including the ghost zero modes (ξ0, η0) and to define the extended BRST operator Q = QRNS − η0
The resulting worldsheet action and BRST operator for this B-RNS-GSS formalism are manifestly spacetime supersymmetric, and BRST-invariant vertex operators are constructed in terms of d=10 superfields
Summary
Abstract: The algebra of spacetime supersymmetry generators in the RNS formalism for the superstring closes only up to a picture-changing operation. The first step to making spacetime supersymmetry manifest in the RNS formalism is to work in the “large” Hilbert space including the ghost zero modes (ξ0, η0) and to define the extended BRST operator Q = QRNS − η0. The resulting worldsheet action and BRST operator for this B-RNS-GSS formalism are manifestly spacetime supersymmetric, and BRST-invariant vertex operators are constructed in terms of d=10 superfields.
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