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1	U(N) SPINNING PARTICLES AND HIGHER SPIN FIELDS ON KAHLER BACKGROUNDS // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 32-36 In this short contribution we will review the quantization of U(N) spinning particles with complex target spaces, producing equations for higher spin elds on complex backgrounds. We will focus rst on at complex space, and subsequently present our model on an arbitrary Kahler manifold. In the nal section, we will specialize to (p; q)-forms on arbitrary Kahler spaces and present their one-loop effective actions as well as issues related to Hodge duality. Keywords: sigma models, higher spins, gauge symmetry	899

U(N) SPINNING PARTICLES AND HIGHER SPIN FIELDS ON KAHLER BACKGROUNDS // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 32-36

In this short contribution we will review the quantization of U(N) spinning particles with complex target spaces, producing equations for higher spin elds on complex backgrounds. We will focus rst on at complex space, and subsequently present our model on an arbitrary Kahler manifold. In the nal section, we will specialize to (p; q)-forms on arbitrary Kahler spaces and present their one-loop effective actions as well as issues related to Hodge duality.

Keywords: sigma models, higher spins, gauge symmetry

899

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