Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Particle on a torus knot: Symplectic analysis   We quantize a particle confined to move on a torus knot satisfying constraint
condition ($p \theta + q \phi) \approx 0$, within the context of a
geometrically motivated approach - the Faddeev-Jackiw formalism. We also deduce
the constraint spectrum and discern the basic brackets of the theory. We
further reformulate the original gauge non-invariant theory into a physically
equivalent gauge theory, which is free from any additional Wess-Zumino
variables, by employing symplectic gauge invariant formalism. In addition, we
analyze the reformulated gauge invariant theory within the framework of BRST
formalism to establish the off-shell nilpotent and absolutely anti-commuting
(anti-)BRST symmetries. Finally, we construct the conserved (anti-)BRST charges
which satisfy the physicality criteria and turn out to be the generators of
corresponding symmetries.

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The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio