Abstract Recent discussions of fractons have evolved around higher rank symmetric gauge theories with emphasis on the role Gauss constraints. This has prompted present study where a detailed hamiltonian analysis such is presented. Besides general treatment, traceless scalar charge theory considered in details. A new form for action given which, $$2+1$$ <mml:math xmlns:mml="http://www.w3.org/199...

This paper gives an explicit argument to show strong boundedness for Sp2n(R) R a ring of S-algebraic integers or semi-local thereby giving quantitative version the abstract result in [15]. The results presented further generalize older regarding by Kedra, Libman and Martin [6] Morris [9] from SLn Sp2n. also completely solve question asymptotic case with that immediately generalizes all other sp...

We begin the study of a new class of operator algebras that arise from higher rank graphs. Every higher rank graph generates a Fock space Hilbert space and creation operators which are partial isometries acting on the space. We call the weak operator topology closed algebra generated by these operators a higher rank semigroupoid algebra. A number of examples are discussed in detail, including t...

We investigate which topological spaces can be constructed as topological realisations of higher-rank graphs. We describe equivalence relations on higher-rank graphs for which the quotient is again a higher-rank graph, and show that identifying isomorphic co-hereditary subgraphs in a disjoint union of two rank-k graphs gives rise to pullbacks of the associated C∗algebras. We describe a combinat...

The bc-system of higher rank introduced recently is examined further. It is shown that the correlation functions are connected with certain non-Abelian theta-functions and it is discussed how quasideterminants arise.