Fetching the paper…
Reading the bibliography…
The number of BPS bound states of D-branes on a Calabi-Yau manifold depends on two sets of data, the BPS charges and the stability conditions.
Harish-Chandra, “Differential operators on a semisimple Lie algebra,” Amer. J. Math. 79
1957
Earlier work this paper cites.
B. Lindström, “On the vector representations of induced matroids,” Bull. London Math. Soc. 5
1973
Earlier work this paper cites.
C. Itzykson and J. B. Zuber, “The Planar Approximation. 2,” J. Math. Phys. 21
1980
Earlier work this paper cites.
M. Jimbo and T. Miwa, “Solitons and Infinite Dimensional Lie Algebras,” Kyoto University, RIMS 19
1983
Earlier work this paper cites.
I. Gessel and G. Viennot, “Binomial determinants, paths, and hook length formulae,” Adv. in Math. 58
1985
Earlier work this paper cites.
G. Mandal, ”Phase Structure Of Unitary Matrix Models”, Mod. Phys. Lett. A5 (1990) 1147-1158
1990
Earlier work this paper cites.
E. Witten, “Phases of N = 2 theories in two dimensions,” Nucl. Phys. B 403
1993
Earlier work this paper cites.
M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, “Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes,” Commun. Math. Phys. 165
1994
Earlier work this paper cites.
H. Ooguri and C. Vafa, “Knot invariants and topological strings,” Nucl. Phys. B 577
2000
Earlier work this paper cites.
R. Dijkgraaf and C. Vafa, “Matrix models, topological strings, and supersymmetric gauge theories,” Nucl. Phys. B 644
2002
Earlier work this paper cites.
H. Ooguri and C. Vafa, “Worldsheet Derivation of a Large N Duality,” Nucl. Phys. B 641
2002
Earlier work this paper cites.
H. Ooguri, A. Strominger and C. Vafa, “Black hole attractors and the topological string,” Phys. Rev. D 70
2004
Earlier work this paper cites.
M. Marino, “Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants,” Commun. Math. Phys. 253
2004
Cited alongside, same era.
M. Aganagic, A. Klemm, M. Marino and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
Cited alongside, same era.
T. Okuda, “Derivation of Calabi-Yau crystals from Chern-Simons gauge theory,” JHEP 0503
2005
Cited alongside, same era.
M. Aganagic, A. Klemm, M. Marino and C. Vafa, “The topological vertex,” Commun. Math. Phys. 254
2005
Cited alongside, same era.
M. Marino, Chern-Simons Theory, Matrix Models, And Topological Strings , Oxford University Press (2005)
2005
Cited alongside, same era.
M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino and C. Vafa, “Topological strings and integrable hierarchies,” Commun. Math. Phys. 261
H. Ooguri and M. Yamazaki, “Crystal Melting and Toric Calabi-Yau Manifolds,” Commun. Math. Phys. 292
2009
Later among the works it cites.
R. Dijkgraaf, L. Hollands and P. Sułkowski, “Quantum Curves and D-Modules,” JHEP 0911
2009
Later among the works it cites.
B. Eynard, “A Matrix model for plane partitions and TASEP,” J. Stat. Mech. 0910
2009
Later among the works it cites.
V. Bouchard, A. Klemm, M. Marino and S. Pasquetti, “Remodeling the B-model,” Commun. Math. Phys. 287
2009
Later among the works it cites.
A. Klemm and P. Sułkowski, “Seiberg-Witten theory and matrix models,” Nucl. Phys. B 819
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2006
Cited alongside, same era.
A. Iqbal and A. K. Kashani-Poor, “The vertex on a strip,” Adv. Theor. Math. Phys. 10
2006
Cited alongside, same era.
P. Sułkowski, “Crystal model for the closed topological vertex geometry,” JHEP 0612
2006
Cited alongside, same era.
Y. Imamura, H. Isono, K. Kimura and M. Yamazaki, “Exactly marginal deformations of quiver gauge theories as seen from brane tilings,” Prog. Theor. Phys. 117
2007
Cited alongside, same era.
N. Caporaso, L. Griguolo, M. Marino, S. Pasquetti and D. Seminara, “Phase transitions, double-scaling limit, and topological strings,” Phys. Rev. D 75
2007
Cited alongside, same era.
2008
Cited alongside, same era.
B. Eynard, “All orders asymptotic expansion of large partitions,” J. Stat. Mech. 0807
2008
Cited alongside, same era.
2009
Later among the works it cites.
P. Sułkowski, “Matrix models for 2* theories,” Phys. Rev. D 80
2009
Later among the works it cites.
H. Ooguri and M. Yamazaki, “Emergent Calabi-Yau Geometry,” Phys. Rev. Lett. 102
2009
Later among the works it cites.
P. Sułkowski, “Matrix models for β \beta -ensembles from Nekrasov partition functions,” JHEP 1004
2010
Closest in time.
M. Aganagic and M. Yamazaki, “Open BPS Wall Crossing and M-theory,” Nucl. Phys. B 834
2010
Closest in time.
P. Sułkowski, “Wall-crossing, free fermions and crystal melting,” Commun. Math. Phys. 301 (2011) 517, [0910.5485 [hep-th]]
2011
Closest in time.
P. Sułkowski, ”Wall-crossing, open BPS counting and matrix models”, JHEP 1103 (2011) 089 [arXiv: 1011.5269 [hep-th]]
2011
Closest in time.
P. Sułkowski, ”Refined matrix models from BPS counting”, Phys. Rev. D (2011) [arXiv: 1012.3228 [hep-th]]
2011
Closest in time.