Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimer algebras, ghor algebras, and cyclic contractions   A ghor algebra is the path algebra of a dimer quiver on a surface, modulo
relations that come from the perfect matchings of its quiver. Such algebras
arise from abelian quiver gauge theories in physics. We show that a ghor
algebra $\Lambda$ on a torus is a dimer algebra (a quiver with potential) if
and only if it is noetherian, and otherwise $\Lambda$ is the quotient of a
dimer algebra by homotopy relations. Furthermore, we classify the simple
$\Lambda$-modules of maximal dimension and give an explicit description of the
center of $\Lambda$ using a special subset of perfect matchings. In our proofs
we introduce formalized notions of Higgsing and the mesonic chiral ring from
quiver gauge theory.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph