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Materializing Superghosts

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arxiv 0707.1906 v1 pith:7EPLQWJK submitted 2007-07-13 hep-th math-phmath.MPmath.QA

classification hep-thmath-phmath.MPmath.QA
keywords fieldsactionauxillaryghostson-shellpurespinorssupersymmetry
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We construct the off-shell BV realization of N=1, d=10 SYM with 7 auxillary fields. This becomes possible due to materialized ghost phenomenon. Namely, supersymmetry ghosts are coordinates on a manifold B of 10-dimensional spinors with pure spinors cut out. Auxillary fields are sections of a bundle over B, and supersymmetry transformations are nonlinear in ghosts. By integrating out axillary fields we obtain on-shell supersymmetric BV action with terms quadratic in antifields. Exactly this on-shell BV action was obtained in our previous paper after integration out of auxiliary fields in the framework of Pure Spinor Superfield Formalism.

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  1. B-RNS-GSS formalism and $L_{\infty}$-actions

    hep-th 2025-10 conditional novelty 6.0 of 10

    The B-RNS-GSS similarity transformation is the strictification flow of an L-infinity action of supersymmetry, R = P exp(∫₀¹ dt A) with A given by explicit RNS currents — exact in θ, where the prior literature had only...

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