Fetching the paper…
Reading the bibliography…
Dimer models have been used in string theory to construct path algebras with relations that are 3-dimensional Calabi-Yau Algebras.
S. Eilenberg, Homological dimension and syzygies , Ann. of Math. (2) 64 (1956), 328-336
1956
Earlier work this paper cites.
M. Orzech, Brauer Groups and Class Groups for a Krull Domain , Brauer Groups in Ring Theory and Algebraic Geometry, LNM 917, Springer, pp. 68-87, 1982
1982
Earlier work this paper cites.
K. A. Brown and C. R. Hajarnavis, Homologically Homogeneous Rings , Transactions of the American Mathematical Society, Vol. 281, No. 1 (Jan., 1984), pp. 197-208
1984
Earlier work this paper cites.
M. Artin and W. Schelter, Graded algebras of global dimension 3 , Adv. in Math. 66 (1987), 171-216
1987
Earlier work this paper cites.
L. Le Bruyn, A cohomological interpretation of the reflexive Brauer group , J. of Algebra, 105 (1987) 250-254
1987
Earlier work this paper cites.
C. Procesi, A formal inverse to the Cayley-Hamilton theorem , J. of Algebra 107 (1987), 63-74
1987
Earlier work this paper cites.
I. Reiten and M. Van den Bergh, Two-dimensional tame and maximal orders of finite representation type , Mem. Amer. Math. Soc. 80 (1989), viii+72
1989
Cited alongside, same era.
A. King. Moduli of representations of finite dimensional algebras. Quart. J. Math. Oxford Ser. (2), 45 (1994) 515–530
1994
Cited alongside, same era.
M. C. R. Butler and A. D. King, Minimal resolutions of algebras , J. Algebra 212 (1999), no. 1, 323–362
1999
Cited alongside, same era.
M. Van den Bergh, Non-commutative crepant resolutions , The Legacy of Niels Hendrik Abel, Springer, pp. 749-770, 2002
2002
Cited alongside, same era.
R. Kenyon and J.M. Schlenker, Rhombic embeddings of planar quad-graphs , Transactions of the AMS 357 nr 9 (2004), 3443-3458
2004
Cited alongside, same era.
C. De Concini, C. Procesi, N. Reshetikhin, M. Rosso Hopf algebras with trace and representations Invent. Math. 161 (2005), no. 1, 1–44
2005
Later among the works it cites.
S. Franco, A. Hanany, K. D. Kennaway, D. Vegh, B. Wecht, Brane Dimers and Quiver Gauge Theories , JHEP 0601 (2006) 096, hep-th/0504110
2006
Later among the works it cites.
A. Hanany, C. P. Herzog, D. Vegh, Brane Tilings and Exceptional Collections , JHEP 0607 (2006) 001, hep-th/0602041
2006
Later among the works it cites.
R. Bocklandt, Graded Calabi Yau algebras of dimension 3 , J. Pure Appl. Algebra 212
2008
Later among the works it cites.
L. Le Bruyn, Noncommutative Geometry and Cayley-smooth Orders , Pure and Applied Mathematics 290, Chapman and Hall/CRC, 2008
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P. S. Aspinwall and L. M. Fidkowski, Superpotentials for quiver gauge theories , hep-th/0506041
Cited in the paper.
R. Bocklandt, Consistency for dimer models , Preprint
Cited in the paper.
J.-P. Brasselet, Algebraic topology and singularities of toric varieties Mat. Contemp., vol. 12, pp.17-44
Cited in the paper.
N. Broomhead, Dimer models and Calabi-Yau algebras, arXiv:0901.4662
Cited in the paper.
R. Coquereaux, R.; Trinchero, On quantum symmetries of ADE graphs , hep-th/0401140
Cited in the paper.
S.Franco, D. Vegh, Moduli Spaces of Gauge Theories from Dimer Models: Proof of the Correspondence , hep-th/0601063
Cited in the paper.