Higher Spin Gauge Field Theories. Aspects of dualities and interactions

Details Higher Spin Gauge Field Theories. Aspects of dualities and interactions Higher Spin Gauge Field Theories. Aspects of dualities and interactions

2006-06-14

arxiv.org/abs/hep-th/0606121v1

Physics

High Energy Physics

High Energy Physics - Theory

PhD thesis, Universite Libre de Bruxelles, May 2006. 190 pages

Scientific paper

In this thesis, we present two aspects of higher-spin gauge field theories: dualities and interactions. We first consider dualities of the free theories at the level of the action. Then, external "electric" and "magnetic" sources are introduced a la Dirac, which leads to a quantization condition on the product of conserved "electric" and "magnetic" higher-spin charges. In the second part, higher-spin interactions are studied in the field-antifield (or BRST) formalism. Theorems are proved about local interactions of sets of exotic spin-two fields, as well as of sets of symmetric spin-three fields. Some consistent first-order vertices are obtained. The table of contents is as follows. 1.Free higher-spin gauge fields. 2.Spin-s duality. 3.Spin-s electric-magnetic duality. 4.Field-Antifield Formalism. 5.Interactions for exotic spin-2 fields. 6.Interactions for spin-3 fields.

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