Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries in Constrained Systems   We describe symmetry structure of a general singular theory (theory with
constraints in the Hamiltonian formulation), and, in particular, we relate the
structure of gauge transformations with the constraint structure. We show that
any symmetry transformation can be represented as a sum of three kinds of
symmetries: global, gauge, and trivial symmetries. We construct explicitly all
the corresponding conserved charges as decompositions in a special constraint
basis. The global part of a symmetry does not vanish on the extremals, and the
corresponding charge does not vanish on the extremals as well. The gauge part
of a symmetry does not vanish on the extremals, but the gauge charge vanishes
on them. We stress that the gauge charge necessarily contains a part that
vanishes linearly in the first-class constraints and the remaining part of the
gauge charge vanishes quadratically on the extremals. The trivial part of any
symmetry vanishes on the extremals, and the corresponding charge vanishes
quadratically on the extremals.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs