Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual equivalence between self-dual and topologically massive $B\wedge F$
  models coupled to matter in $3+1$ dimensions   In this work, we revisit the duality between a self-dual non-gauge invariant
theory and a topological massive theory in $3+1$ dimensions. The self-dual
Lagrangian is composed by a vector field and an antisymmetric field tensor
whereas the topological massive Lagrangian is build using a $B \wedge F$ term.
Though the Lagrangians are quite different, they yield to equations of motion
that are connected by a simple dual mapping among the fields. We discuss this
duality by analyzing the degrees of freedom in both theories and comparing
their propagating modes at the classical level. Moreover, we employ the master
action method to obtain a fundamental Lagrangian that interpolates between
these two theories and makes evident the role of the topological $B \wedge F$
term in the duality relation. By coupling these theories with matter fields, we
show that the duality holds provided a Thirring-like term is included. In
addition, we use the master action in order to probe the duality upon the
quantized fields. We carried out a functional integration of the fields and
compared the resulting effective Lagrangians.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph