Coordinate-free action for AdS\(_ 3\) higher-spin-matter systems.
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Publication:5929282
DOI10.1016/S0370-2693(00)00258-6zbMATH Open1050.81691arXivhep-th/9912280OpenAlexW3125900049MaRDI QIDQ5929282
Author name not available (Why is that?)
Publication date: 18 April 2001
Published in: (Search for Journal in Brave)
Abstract: A coordinate-free action principle for the N=2 supersymmetric model of spin 0 and spin 1/2 matter fields interacting via Chern-Simons higher spin gauge fields in AdS3 is formulated in terms of star-product algebra of two oscillators. Although describing proper relativistic dynamics the action does not contain space-time coordinates. It is given by a supertrace of a forth-order polynomial in the 3d higher spin superalgebra. The theory admits a free parameter characterizing the inequivalent vacua associated with the parameter of mass m of the matter fields. For the case of the massless matter, the model has a form of the noncommutative 2d Yang-Mills theory with some infinite-dimensional gauge group. The limit m oinfty corresponds to the SU(infty) 2d Yang-Mills theory.
Full work available at URL: https://arxiv.org/abs/hep-th/9912280
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