BRST APPROACH TO GAUGE INVARIANT HIGHER SPIN THEORY OF CONFORMAL FIELD IN FLAT SPACE

Takata Khiroyuki

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We propose a closed higher-spin algebra and its representation that reproduces conformal invariant Lagrangian presented by Fradkin and Tseytlin. We use this algebra for constructing gauge invariant Lagrangian by BRST method. Lagrangian constructed by BRST method does not have any off-shell constraints or higher derivative terms as in the non-conformal case. As an example for spin 2 case in four space-time dimension, our Lagrangian agrees with that of conformal gravity by using gauge xing and equations of motions of auxiliary fields.

Keywords: higher-spin, BRST, conformal

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Issue: 13, 2012

Pages: 155 — 158

Downloads: 819