Classical Conformal Blocks and Painleve VI

L. Schlesinger, “Ueber eine klasse von differentsial system beliebliger ordnung mit festen kritischer punkten”, J. fur Math. 141

1912

Earlier work this paper cites.

M. Jimbo, T. Miwa and K. Ueno, “Monodromy preserving deformations of linear differential equations with rational coefficients (1),” Physica D 2

1981

Earlier work this paper cites.

M. F. Atiyah and R. Bott, “The Yang-Mills equations over Riemann surfaces,” Phil. Trans. R. Soc. Lond. A 308

1982

Earlier work this paper cites.

A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, “Infinite conformal symmetry in two-dimensional Quantum Field Theory,” Nucl. Phys. B 241

1984

Earlier work this paper cites.

Al. B. Zamolodchikov, “Conformal symmetry in two-dimensions: an explicit recurrence formula for the conformal partial wave amplitude,” Commun. Math. Phys. 96

1984

Earlier work this paper cites.

E. K. Sklyanin, “Goryachev-Chaplygin top and the inverse scattering method,” Zapiski Nauch. Semin. LOMI133, 236¿257 (1984) [Engl. transl.: J. Soviet Math. 31

1985

Earlier work this paper cites.

L. Takhtajan and P. Zograf, “Action for the Liouville equation as a generating function for the accessory parameters and as a potential for the Weil-Petersson metric on the Teichm u ¨ {\ddot{\rm u}} ller space,” Funkts. Anal. Prilozh. 19

1986

Earlier work this paper cites.

Al. B. Zamolodchikov, “Conformal symmetry in two-dimensions: recursion representation of conformal block,” Teor. Mat. Fiz. 73

1987

Cited alongside, same era.

A. Bilal, V. V. Fock and I. I. Kogan, “On the origin of W algebras,” Nucl. Phys. B 359

1991

Cited alongside, same era.

E. K. Sklyanin, “Separation of variables – new trends,” Prog. Theor. Phys. Suppl. 118

1995

Cited alongside, same era.

A. B. Zamolodchikov and Al. B. Zamolodchikov, “Structure constants and conformal bootstrap in Liouville field theory,” Nucl. Phys. B 477

1996

Cited alongside, same era.

P. Boalch, “Symplectic manifolds and isomonodromic deformations,” Adv. Math. 163

2001

Cited alongside, same era.

N. Nekrasov, “On the BPS/CFT correspondence,” seminar at the string theory group, University of Amsterdam, Feb. 3, 2004

L. F. Alday, D. Gaiotto and Y. Tachikawa, “Liouville correlation functions from four-dimensional gauge theories,” Lett. Math. Phys. 91

2010

Later among the works it cites.

V. A. Alba, V. A. Fateev, A. V. Litvinov and G. M. Tarnopolsky, “On combinatorial expansion of the conformal blocks arising from AGT conjecture,” Lett. Math. Phys. 98

2011

Later among the works it cites.

N. Nekrasov, A. Rosly and S. Shatashvili, “Darboux coordinates, Yang-Yang functional, and gauge theory,” Nucl. Phys. Proc. Suppl. 216

2011

Later among the works it cites.

J. Teschner, “Quantization of the Hitchin moduli spaces, Liouville theory, and the geometric Langlands correspondence I,” Adv. Theor. Math. Phys. 15

2011

Later among the works it cites.

S. L. Lukyanov, “Critical values of the Yang-Yang functional in the quantum sine-Gordon model,” Nucl.Phys. B 853

2011