https://doi.org/10.1140/epjc/s10052-021-09964-2
Regular Article - Theoretical Physics
Hamiltonian formulation of higher rank symmetric gauge theories
S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake City, 700 106, Kolkata, India
Received:
8
October
2021
Accepted:
21
December
2021
Published online:
10
January
2022
Recent discussions of fractons have evolved around higher rank symmetric gauge theories with emphasis on the 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 
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.
© The Author(s) 2022
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