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VOLUME 86 | ISSUE 7 | PAGE 504
Materializing Superghosts
V. Alexandrov+*, D. Krotov^{\circ\ddag *}, A. Losev^\ddag, V. Lysov^{\ddag\lozenge\heartsuit}
+P.N. Lebedev Physical Institute Theoretical Physics Division RAS, 199991 Moscow, Russia
°Institute for Nuclear Research RAS, 117218 Moscow, Russia
^{\ddagger}Institute of Theoretical and Experimental Physics, 117218 Moscow, Russia
^\lozengeL.D. Landau Institute for Theoretical Physics RAS, 117334 Moscow, Russia
*Moscow State University, Department of Physics, 119992 Moscow, Russia
^\heartsuitMoscow Institute of Physics and Technology State University, Moscow, Russia

PACS: 02.40.-k, 11.15.-q, 12.60.Jv
Abstract
We construct the off-shell Batalin-Vilkovysky (BV) realization of \mathcal{N}=1, d=10 Super-Yang-Milk (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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