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arXiv · 0911.4919

BRST, anti-BRST and their geometry

L. Bonora·R. P. Malik
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Abstract

We continue the comparison between the field theoretical and geometrical approaches to the gauge field theories of various types, by deriving their Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST trasformation properties and comparing them with the geometrical properties of the bundles and gerbes. In particular, we provide the geometrical interpretation of the so--called Curci-Ferrari conditions that are invoked for the absolute anticommutativity of the BRST and anti-BRST symmetry transformations in the context of non-Abelian 1-form gauge theories as well as Abelian gauge theory that incorporates a 2-form gauge field. We also carry out the explicit construction of the 3-form gauge fields and compare it with the geometry of 2--gerbes.

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L. Bonora, R. P. Malik. 2009-11-25. BRST, anti-BRST and their geometry. https://doi.org/10.1088/1751-8113/43/37/375403

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