Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The role of Weyl symmetry in hydrodynamics   This article is dedicated to the analysis of Weyl symmetry in the context of
relativistic hydrodynamics. Here is discussed how this symmetry is properly
implemented using the prescription of minimal coupling: $\partial\to \partial
+\omega \mathcal{A}$. It is shown that this prescription has no problem to deal
with curvature since it gives the correct expressions for the commutator of
covariant derivatives.
  In the hydrodynamics the Weyl gauge connection emerges from the degrees of
freedom of the fluid: it is a combination of the expansion and entropy
gradient. The remaining degrees of the fluid and the metric tensor are see in
this context as charged fields under the Weyl gauge connection. The gauge
nature of conformal hydrodynamics is emphasized and a charge for the Weyl
connection is defined. A notion of local charge and current densities are
considered and a local charge conservation law is reached.

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs