Fetching the paper…
Reading the bibliography…
We show that matrix models in Chern-Simons theory admit an interpretation as 1D exactly solvable models, paralleling the relationship between the Gaussian matrix model and the Calogero model.
K.A. Muttalib, Y. Chen, M.E.H. Ismail, and V.N. Nicopoulos, ”New family of unitary random matrices,” Phys. Rev. Lett. 71
1913
Earlier work this paper cites.
F.E. Harris and H.J. Monkhorst, ”Electronic-Structure Studies of Solids. I. Fourier Representation Method for Madelung Sums ”, Phys. Rev. B 2
1970
Earlier work this paper cites.
K.B. Efetov and A.I. Larkin, ”Correlation functions in one-dimensional systems with a strong interaction”, Sov. Phys. JETP 42
1976
Earlier work this paper cites.
V.I. Inozemtsev and D.V. Mescheryakov, ”On ground-state wavefunctions for Sutherland-Calogero systems in an external field”, Phys. Lett. A 106
1984
Earlier work this paper cites.
M. E. Fisher, “Walks, Walls, Wetting, and Melting”, J. Stat. Phys. 34, 667 (1984); D. A. Huse and M. E. Fisher, “Commesurate Melting, Domain Walls, and Dislocation”, Phys. Rev. B29, 239 (1984)
1984
Earlier work this paper cites.
E. Witten, “Quantum field theory and the Jones polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
P.J. Forrester, ”Vicious random walkers in the limit of a large number of walkers”, J. Stat. Phys. 56
1989
Earlier work this paper cites.
D. J. Gross and I. R. Klebanov, “One-dimensional string theory on a circle,” Nucl. Phys. B 344
1990
Earlier work this paper cites.
M.L. Mehta, Random Matrices
1991
Earlier work this paper cites.
D. J. Gross and I. R. Klebanov, “Vortices and the nonsinglet sector of the c = 1 matrix model,” Nucl. Phys. B 354
1991
Earlier work this paper cites.
D. Boulatov and V. Kazakov, “One-Dimensional String Theory With Vortices As The Upside Down Matrix Oscillator,” Int. J. Mod. Phys. A 8
1993
Earlier work this paper cites.
P. J. Forrester, ”Properties of an exact crystalline many-body ground state”, J. Stat. Phys. 76
1994
Cited alongside, same era.
M. Moshe, H. Neuberger and B. Shapiro, “A Generalized ensemble of random matrices,” Phys. Rev. Lett. 73
1994
Cited alongside, same era.
Y. Chen and K. A. Muttalib, ”Crossover from Fermi Liquid to Non-Fermi Liquid Behavior in a Solvable One-Dimensional Model,” J. Phys. Cond. Matt. 6, L293 (1994), arXiv:cond-mat/9311003
1994
Cited alongside, same era.
D. Ghoshal and C. Vafa, “C = 1 String As The Topological Theory Of The Conifold,” Nucl. Phys. B 453
1995
Cited alongside, same era.
L. Rozansky, “A large k k asymptotics of Witten’s invariant of Seifert manifolds,” arXiv:hep-th/9303099 , Commun. Math. Phys. 171
1996
Cited alongside, same era.
M. Tierz, “Soft matrix models and Chern-Simons partition functions,” Mod. Phys. Lett. A 19
2004
Later among the works it cites.
M. Aganagic, A. Klemm, M. Mariño and C. Vafa, “Matrix model as a mirror of Chern-Simons theory,” JHEP 0402
2004
Later among the works it cites.
Y. Nakayama, “Liouville field theory: A decade after the revolution,” Int. J. Mod. Phys. A 19
2004
Later among the works it cites.
A. Neitzke and C. Vafa, “Topological strings and their physical applications,” arXiv:hep-th/0410178 ; M. Mariño, “Chern-Simons theory and topological strings,” Rev. Mod. Phys. 77
2005
Later among the works it cites.
C. Beasley and E. Witten, “Non-abelian localization for Chern-Simons theory,” J. Diff. Geom. 70
2005
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
E. Fradkin, Field theories of condensed matter systems , Addison-Wesley (1998)
1998
Cited alongside, same era.
R. J. Lawrence, “Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds,” J. Math. Phys. 36
1999
Cited alongside, same era.
T. Koprucki and H.J. Wagner, ”New exact ground states for one-dimensional quantum many-body systems,” J. Stat. Phys. 100
2000
Cited alongside, same era.
M. Freedman, M. Larsen, and Z. Wang, ”A modular functor which is universal for quantum computation,” Comm. Math. Phys., 227
2003
Cited alongside, same era.
M. Mariño, ”Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants”, Commun. Math. Phys. 253
2004
Cited alongside, same era.
M. Mariño, Personal communication
Cited in the paper.
R. Dijkgraaf and C. Vafa, “N = 1 supersymmetry, deconstruction, and bosonic gauge theories,” arXiv:hep-th/0302011
Cited in the paper.
S. de Haro and M. Tierz, “Discrete and oscillatory matrix models in Chern-Simons theory,” Nucl. Phys. B 731
2005
Later among the works it cites.
S. de Haro and M. Tierz, “Brownian motion, Chern-Simons theory, and 2d Yang-Mills,” Phys.Lett. B
2005
Later among the works it cites.
Y. Castin, ”Basic theory tools for degenerate Fermi gases”, Proceedings of the Enrico Fermi Varenna School on Fermi gases (2006), arXiv:cond-mat/0612613
2006
Later among the works it cites.
M. Levin and X.G. Wen, ”Detecting order in a gound state wave function,” Phys. Rev. Lett., 96
2006
Later among the works it cites.
Y. Dolivet and M. Tierz, ”Chern-Simons matrix models and Stieltjes-Wigert polynomials,” J. Math. Phys. 48
2007
Later among the works it cites.