Hamiltonian Formulation of Higher Rank Symmetric Gauge Theories
arXiv:2105.04152 · doi:10.1140/epjc/s10052-021-09964-2
Abstract
Recent discussions of higher rank symmetric (fractonic) gauge theories have revealed the important role of Gauss constraints. This has prompted the present study where a detailed hamiltonian analysis of such theories is presented. Besides a general treatment, the traceless scalar charge theory is considered in details. A new form for the action is given which, in 2+1 dimensions, yields area preserving diffeomorphisms. Investigation of global symmetries reveals that this diffeomorphism invariance induces a noncommuting charge algebra that gets exactly mapped to the algebra of coordinates in the lowest Landau level problem. Connections of this charge algebra to noncommutative fluid dynamics and magnetohydrodynamics are shown.
arXiv comment20 pages, no figures; V2 (21 pages) has some changes that highlight the novelty of the present work. Version to appear in EPJC
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