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Pure Spinor Formalism as an N=2 Topological String
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abstract
Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat c$=3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spin-one generator, and the formalism is interpreted as a critical topological string. Three applications of this topological string theory include the super-Poincare covariant computation of multiloop superstring amplitudes without picture-changing operators, the construction of a cubic open superstring field theory without contact-term problems, and a new four-dimensional version of the pure spinor formalism which computes F-terms in the spacetime action.
Forward citations
Cited by 3 Pith papers
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Equivalence Proof of Pure Spinor and Ramond-Neveu-Schwarz Superstring Amplitudes
A new pure spinor amplitude prescription is proven equivalent to the RNS prescription and reduces to the original pure spinor prescription for F-term amplitudes.
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The Double EFT Expansion in Quantum Gravity
Quantum gravity EFT actions organize higher-curvature corrections into a field-theoretic expansion suppressed by the lightest new mass and a quantum-gravitational expansion suppressed by the species scale.
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Vertex operators for the superstring with manifest $d=6$ $\mathcal{N}=1$ supersymmetry
A manifestly d=6 N=1 supersymmetric vertex operator and amplitude prescription are constructed for the superstring, with BRST invariance implying the SYM equations of motion.
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