Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abelian duality, walls and boundary conditions in diverse dimensions   We systematically apply the formalism of duality walls to study the action of
duality transformations on boundary conditions and local and nonlocal operators
in two, three, and four-dimensional free field theories. In particular, we
construct a large class of D-branes for two-dimensional sigma-models with
toroidal targets and determine the action of the T-duality group on it. It is
manifest in this formalism that T-duality transformations on D-branes are given
by a differential-geometric version of the Fourier-Mukai transform.

25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph