Xiaoxue Xu, Decong Yi, Liyuan Ma, “A novel solution to the generalized lattice Liouville equation”, Applied Mathematics Letters, 2024, 109115
Behrad Taghavi, Ali Naseh, Kuroush Allameh, “Classical Liouville action and uniformization of orbifold Riemann surfaces”, Phys. Rev. D, 110:4 (2024)
Atakan Hilmi F{\i}rat, Nico Valdes-Meller, “Topological recursion for hyperbolic string field theory”, J. High Energ. Phys., 2024:11 (2024)
Jeevan Chandra, Thomas Hartman, Viraj Meruliya, “Statistics of three-dimensional black holes from Liouville line defects”, J. High Energ. Phys., 2024:11 (2024)
A. Artemev, “p → ∞ limit of tachyon correlators in (2, 2p + 1) minimal Liouville gravity from classical Liouville theory”, J. High Energ. Phys., 2023:12 (2023)
Sarah M. Harrison, Alexander Maloney, Tokiro Numasawa, “Liouville theory and the Weil-Petersson geometry of moduli space”, J. High Energ. Phys., 2023:11 (2023)
Joris Raeymaekers, Gideon Vos, “Holography for bulk states in 3D quantum gravity”, SciPost Phys., 15:2 (2023)
Gabriele Bogo, “Accessory Parameters for Four-Punctured Spheres”, SIGMA, 18 (2022), 024, 20 pp.
Jeevan Chandra, Scott Collier, Thomas Hartman, Alexander Maloney, “Semiclassical 3D gravity as an average of large-c CFTs”, J. High Energ. Phys., 2022:12 (2022)
Jinsung Park, “Liouville Action for Harmonic Diffeomorphisms”, SIGMA, 17 (2021), 097, 16 pp.
Atakan Hilmi F{\i}rat, “Hyperbolic three-string vertex”, J. High Energ. Phys., 2021:8 (2021)
Anton Alekseev, Samson L. Shatashvili, “Characters, coadjoint orbits and Duistermaat-Heckman integrals”, Journal of Geometry and Physics, 170 (2021), 104386
Claudio Meneses, Leon A. Takhtajan, “Logarithmic Connections, WZNW Action, and Moduli of Parabolic Bundles on the Sphere”, Commun. Math. Phys., 387:2 (2021), 649
Pietro Menotti, “The continuation method and the real analyticity of the accessory parameters: the general elliptic case”, J. Phys. A: Math. Theor., 54:45 (2021), 455202
G. B. Shabat, “Belyi Pairs and Fried Families”, Proc. Steklov Inst. Math., 307 (2019), 281–293
Tiago Anselmo, Rhodri Nelson, Bruno Carneiro da Cunha, Darren G. Crowdy, “Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI”, Proc. R. Soc. A., 474:2216 (2018), 20180080
T Can, P Wiegmann, “Quantum Hall states and conformal field theory on a singular surface”, J. Phys. A: Math. Theor., 50:49 (2017), 494003
Tankut Can, “Central charge from adiabatic transport of cusp singularities in the quantum Hall effect”, J. Phys. A: Math. Theor., 50:17 (2017), 174004
Jörg Teschner, Mathematical Physics Studies, New Dualities of Supersymmetric Gauge Theories, 2016, 375
Hasmik Poghosyan, Gor Sarkissian, “On classical and semiclassical properties of the Liouville theory with defects”, J. High Energ. Phys., 2015:11 (2015)
Marcin Piatek, “Classical torus conformal block, $ \mathcal{N} $ = 2∗ twisted superpotential and the accessory parameter of Lamé equation”, J. High Energ. Phys, 2014:3 (2014)
L. A. Takhtadzhyan, “Real projective connections, V. I. Smirnov's approach, and black-hole-type solutions of the Liouville equation”, Theoret. and Math. Phys., 181:1 (2014), 1307–1316
N. A. Nekrasov, A. A. Roslyi, S. L. Shatashvili, “Darboux coordinates, Yang–Yang functional, and gauge theory”, Theoret. and Math. Phys., 181:1 (2014), 1206–1234
S. I. Bezrodnykh, V. I. Vlasov, “Singular Riemann–Hilbert problem in complex-shaped domains”, Comput. Math. Math. Phys., 54:12 (2014), 1826–1875
A. G. Sergeev, “Lektsii ob universalnom prostranstve Teikhmyullera”, Lekts. kursy NOTs, 21, MIAN, M., 2013, 3–130
A. Yu. Vasiliev, A. G. Sergeev, “Classical and quantum Teichmüller spaces”, Russian Math. Surveys, 68:3 (2013), 435–502
Franco Ferrari, Marcin Piatek, “Liouville theory, $ \mathcal{N} = 2 $ gauge theories and accessory parameters”, J. High Energ. Phys, 2012:5 (2012)
Pietro Menotti, “Accessory parameters for Liouville theory on the torus”, J. High Energ. Phys, 2012:12 (2012)
Marcin Piątek, “Classical conformal blocks from TBA for the elliptic Calogero–Moser system”, J. High Energ. Phys, 2011:6 (2011)
N. Nekrasov, A. Rosly, S. Shatashvili, “Darboux coordinates, Yang-Yang functional, and gauge theory”, Nuclear Physics B - Proceedings Supplements, 216:1 (2011), 69
Ta-Sheng Tai, “Uniformization, Calogero–Moser/Heun duality and Sutherland/bubbling pants”, J High Energy Phys, 2010:10 (2010), 107
Yu. V. Brezhnev, “On uniformization of algebraic curves”, Mosc. Math. J., 8:2 (2008), 233–271
Franco Ferrari, Jarosław Paturej, “On a relation between Liouville field theory and a two component scalar field theory passing through the random walk”, Physics Letters B, 664:1-2 (2008), 123
Dumas D., Wolf M., “Projective Structures, Grafting and Measured Laminations”, Geom. Topol., 12 (2008), 351–386
G. B. Shabat, V. I. Zolotarskaya, “The Chekhov–Fock parametrization of Teichmüller spaces and dessins d'enfants”, J. Math. Sci., 158:1 (2009), 155–161
V. A. Poberezhnyi, “General Linear Problem of the Isomonodromic Deformation of Fuchsian Systems”, Math. Notes, 81:4 (2007), 529–542
Leszek Hadasz, Zbigniew Jaskólski, “Liouville theory and uniformization of four-punctured sphere”, J Math Phys (N Y ), 47:8 (2006), 082304
Pietro Menotti, “Semiclassical and quantum Liouville theory”, J Phys Conf Ser, 33 (2006), 26
A. Kokotov, D. Korotkin, “Isomonodromic tau-function of Hurwitz Frobenius manifolds and its applications”, Internat Math Res Notices, 2006 (2006), 1
Leszek Hadasz, Zbigniew Jaskólski, “Semiclassical limit of the FZZT Liouville theory”, Nuclear Physics B, 757:3 (2006), 233
Leon A. Takhtajan, Lee-Peng Teo, “Quantum Liouville Theory in the Background Field Formalism I. Compact Riemann Surfaces”, Commun. Math. Phys., 268:1 (2006), 135
Heng-Yu Chen, N. S. Manton, “The Kähler potential of Abelian Higgs vortices”, J Math Phys (N Y ), 46:5 (2005), 052305
V. A. Poberezhnyi, “Special Monodromy Groups and the Riemann–Hilbert Problem for the Riemann Equation”, Math. Notes, 77:5 (2005), 695–707
Leszek Hadasz, Zbigniew Jaskólski, Marcin Pia̧tek, “Classical geometry from the quantum Liouville theory”, Nuclear Physics B, 724:3 (2005), 529
Pietro Menotti, Gabriele Vajente, “Semiclassical and quantum Liouville theory on the sphere”, Nuclear Physics B, 709:3 (2005), 465
Aldrovandi E., “Hermitian-Holomorphic Deligne Cohomology, Deligne Pairing for Singular Metrics, and Hyperbolic Metrics”, Int. Math. Res. Notices, 2005, no. 17, 1015–1046
Samuel L. Krushkal, Handbook of Complex Analysis, 2, Geometric Function Theory, 2005, 31
A. V. Kiselev, “Methods of geometry of differential equations in analysis of integrable models of field theory”, J. Math. Sci., 136:6 (2006), 4295–4377
Leszek Hadasz, Zbigniew Jaskólski, “Classical Liouville action on the sphere with three hyperbolic singularities”, Nuclear Physics B, 694:3 (2004), 493
Aldrovandi E., “On Hermitian-Holomorphic Classes Related to Uniformization, the Dilogarithm, and the Liouville Action”, Commun. Math. Phys., 251:1 (2004), 27–64
Seppala M., “Myrberg's Numerical Uniformization of Hyperelliptic Curves”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 29:1 (2004), 3–20
A. Kokotov, D. Korotkin, “Tau-functions on Hurwitz Spaces”, Mathematical Physics, Analysis and Geometry, 7:1 (2004), 47
Leszek Hadasz, Zbigniew Jaskólski, “Polyakov conjecture for hyperbolic singularities”, Physics Letters B, 574:1-2 (2003), 129
Luigi Cantini, Pietro Menotti, Domenico Seminara, “Liouville theory, accessory parameters and (2+1)-dimensional gravity”, Nuclear Physics B, 638:3 (2002), 351
Kiselev A., “On the Geometry of Liouville Equation: Symmetries, Conservation Laws, and Backlund Transformations”, Acta Appl. Math., 72:1-2 (2002), 33–49
P. Menotti, Recent Developments in General Relativity, Genoa 2000, 2002, 165
Leon Takhtajan, Peter Zograf, “Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on ℳ_{0,𝓃}”, Trans. Amer. Math. Soc., 355:5 (2002), 1857
Luigi Cantini, Pietro Menotti, Domenico Seminara, Class Quantum Grav, 18:12 (2001), 2253
Arkady L. Kholodenko, “Some thoughts about random walks on figure eight”, Physica A: Statistical Mechanics and its Applications, 289:3-4 (2001), 377
Luigi Cantini, Pietro Menotti, Domenico Seminara, “Proof of Polyakov conjecture for general elliptic singularities”, Physics Letters B, 517:1-2 (2001), 203
A. Yu. Orlov, P. Winternitz, “
P
∞ algebra of symmetries of the kadomtsev-petviashvili equation, free fermions, and 2-cocycles in the Lie algebra of pseudo-differential operatorsalgebra of symmetries of the kadomtsev-petviashvili equation, free fermions, and 2-cocycles in the Lie algebra of pseudo-differential operators”, Theor Math Phys, 113:2 (1997), 1393
Marco Matone, “Nonperturbative model of Liouville gravity”, Journal of Geometry and Physics, 21:4 (1997), 381
Takashi Suzuki, “A note on quantum Liouville theory via the quantum group An approach to strong coupling Liouville theory”, Nuclear Physics B, 492:3 (1997), 717
S.A. Apikyan, “Liouville field theory on a hyperelliptic surface”, Physics Letters B, 388:3 (1996), 557
Marco Matone, “The Higgs model for anyons and Liouville action”, Journal of Geometry and Physics, 17:1 (1995), 49
Marco Matone, “Liouville equation and schottky problem”, Lett Math Phys, 33:1 (1995), 75
Zheng-Mao Sheng, J Phys A Math Gen, 27:10 (1994), L339
E. Aldrovandi, L. Bonora, “Liouville and Toda field theories on Riemann surfaces”, Journal of Geometry and Physics, 14:1 (1994), 65
P. G. Zograf, “Potential of the Weyl–Peterson metric on the Teichmüller space of Riemann surfaces of genus zero with punctures”, Funct. Anal. Appl., 22:4 (1988), 324–325