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BRST Symmetries for the Tangent Gauge Group | | A. S. Cattaneo
; P. Cotta-Ramusino
; M. Rinaldi
; | | Date: |
24 Jun 1997 | | Journal: | J.Math.Phys. 39 (1998) 1316-1339 | | Subject: | High Energy Physics - Theory; Differential Geometry; Quantum Algebra | hep-th dg-ga math.DG math.QA q-alg | | Abstract: | For any principal bundle $P$, one can consider the subspace of the space of connections on its tangent bundle $TP$ given by the tangent bundle $T{cal A}$ of the space of connections ${cal A}$ on $P$. The tangent gauge group acts freely on $T{cal A}$. Appropriate BRST operators are introduced for quantum field theories that include as fields elements of $T{cal A}$, as well as tangent vectors to the space of curvatures. As the simplest application, the BRST symmetry of the so-called $BF$-Yang-Mills theory is described and the relevant gauge fixing conditions are analyzed. A brief account on the topological $BF$ theories is also included and the relevant Batalin-Vilkovisky operator is described. | | Source: | arXiv, hep-th/9706160 | | Services: | Forum | Review | PDF | Favorites | |
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