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Materializing superghosts
Authors:V Alexandrov  D Krotov  A Losev  V Lysov
Institution:(1) Lebedev Physical Institute, Theoretical Physics Division, Russian Academy of Sciences, Moscow, 199991, Russia;(2) Institute for Nuclear Research, Russian Academy of Sciences, Moscow, 117218, Russia;(3) Institute of Theoretical and Experimental Physics, Moscow, 117218, Russia;(4) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117334, Russia;(5) Department of Physics, Moscow State University, Moscow, 119992, Russia;(6) Moscow Institute of Physics and Technology (State University), Dolgoprydnyĭ, Moscow region, 141700, Russia
Abstract:The off-shell Batalin-Vilkovysky (BV) realization has been constructed for N = 1, d = 10 super-Yang-Mills theory with seven auxiliary fields. This becomes possible due to the materialized ghost phenomenon. Namely, supersymmetry ghosts are coordinates on a manifold B of ten-dimensional spinors with the pure spinors cut out. Auxiliary fields are sections of a bundle over B, and supersymmetry transformations are nonlinear in ghosts. By integrating out the auxiliary fields, we obtain an on-shell supersymmetric BV action with quadratic terms in the antifields. Exactly this on-shell BV action was obtained in our previous paper after integration out of auxiliary fields in the framework of a pure spinor superfield formalism. The text was submitted by the authors in English.
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