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We investigate Fuchsian equations arising in the context of 2-dimensional conformal field theory (CFT) and we apply the Katz theory of Fucshian rigid systems to solve some of these equations.
1969
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P. Bouwknegt and K. Schoutens, 𝒲 {\cal W} symmetry , Adv.Ser.Math.Phys. 22
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N. Read and E. Rezayi, Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level , Physical Review B 59
1999
Cited alongside, same era.
M. Dettweiler and S. Reiter, An algorithm of Katz and its application to the inverse Galois problem , Journal of Symbolic Computation 30
2000
Cited alongside, same era.
B. Ponsot and J. Teschner, Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of U q ( s l ( 2 , R ) ) U_{q}(sl(2,R)) , Commun. Math. Phys. 224
2001
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M. Bauer and D. Bernard, Conformal Field Theories of Stochastic Loewner Evolutions , Communications in Mathematical Physics 239
2003
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V. A. Fateev and A. V. Litvinov, Coulomb integrals in Liouville theory and Liouville gravity , JETP Lett. 84
2007
2012
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Y. Haraoka and S. Hamaguchi, Topological theory for Selberg type integral associated with rigid Fuchsian systems , Mathematische Annalen 353
2012
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T. Oshima, Fractional Calculus of Weyl Algebra and Fuchsian Differential Equations , The Mathematical Society of Japan 28
2012
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2014
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V. A. Fateev and A. V. Litvinov, Correlation functions in conformal Toda field theory I , JHEP 11
2007
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M. Dettweiler and S. Reiter, Middle convolution of Fuchsian systems and the construction of rigid differential systems , Journal of Algebra 318
2007
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2009
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2009
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V. A. Fateev and A. V. Litvinov, Correlation functions in conformal Toda field theory II , JHEP 01
2009
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A. Mironov and A. Morozov, On AGT relation in the case of U ( 3 ) U(3) , Nuclear physics B 825
2010
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2010
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2015
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2015
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2015
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2016
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