A Solution of the BRST Consistency Condition and g - Symplectic Orbits
نویسنده
چکیده
For any Lie algebra g we introduce the notion of g symplectic structures and show that every orbit of a principal G bundle carries a natural g symplectic form and an associated momentum map induced by the Maurer Cartan form on G . We apply this to the BRST bicomplex and show that the associated momentum map is a solution of the Wess-Zumino consistency condition for the anomaly. Research partially supported by Emory University Research Grant # 2-50670 and NSF grant # DMS-9303215. We gratefully acknowledge the hospitality and support of the Erwin Schrödinger International Institute for Mathematical Physics in Vienna where part of this work has been done.
منابع مشابه
g-SYMPLECTIC ORBITS AND A SOLUTION OF THE BRST CONSISTENCY CONDITION
For any Lie algebra g we introduce the notion of gsymplectic structures and show that every orbit of a principal G-bundle carries a natural g-symplectic form and an associated momentum map induced by the Maurer–Cartan form on G. We apply this to the BRST bicomplex and show that the associated momentum map is a solution of the Wess–Zumino consistency condition for the anomaly.
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