Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Geometrical Construction of Rational Boundary States in Linear Sigma
  Models   Starting from the geometrical construction of special Lagrangian submanifolds
of a toric variety, we identify a certain subclass of A-type D-branes in the
linear sigma model for a Calabi-Yau manifold and its mirror with the A- and
B-type Recknagel-Schomerus boundary states of the Gepner model, by reproducing
topological properties such as their labeling, intersection, and the
relationships that exist in the homology lattice of the D-branes. In the
non-linear sigma model phase these special Lagrangians reproduce an old
construction of 3-cycles relevant for computing periods of the Calabi-Yau, and
provide insight into other results in the literature on special Lagrangian
submanifolds on compact Calabi-Yau manifolds. The geometrical construction of
rational boundary states suggests several ways in which new Gepner model
boundary states may be constructed.

13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom