BRST, anti-BRST and their geometry

Details BRST, anti-BRST and their geometry BRST, anti-BRST and their geometry

2009-11-25

arxiv.org/abs/0911.4919v2

J.Phys.A43:375403,2010

Physics

High Energy Physics

High Energy Physics - Theory

A comment added. To appear in Jour. Phys. A: Mathemaical and Theoretical

Scientific paper

10.1088/1751-8113/43/37/375403

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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