Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the coupling of the self-dual field to dynamical U(1) Matter and its
  dual theory   We consider an arbitrary U(1) charged matter non-minimally coupled to the
self-dual field in $d=2+1$. The coupling includes a linear and a rather general
quadratic term in the self-dual field. By using both a Lagragian gauge
embedding and a master action approaches we derive the dual Maxwell
Chern-Simons type model and show the classical equivalence between the two
theories. At quantum level the master action approach in general requires the
addition of an awkward extra term to the Maxwell Chern-Simons type theory. Only
in the case of a linear coupling in the self-dual field the extra term can be
dropped and we are able to establish the quantum equivalence of gauge invariant
correlation functions in both theories.

4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
1
The categories of this paper are: cs
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom