[1] Y. Kusuki, Large c Virasoro Blocks from Monodromy Method beyond Known Limits, 1806.04352.
[2] Y. Kusuki, Light Cone Bootstrap in General 2D CFTs and Entanglement from Light Cone Singularity, 1810.01335.
[3] Y. Kusuki and M. Miyaji, Entanglement entropy, otoc and bootstrap in 2d cfts from regge and light cone limits of multi-point conformal block, JHEP 08 (2019) 063 [1905.02191].
[4] J.M. Maldacena, Large N field theories, string theory and gravity, in Proceedings, NATO Advanced Study Institute on Progress in String Theory and M-Theory: Cargese, France, May 24-June 5, 1999, pp. 47–116, 1999.
[5] A.L. Fitzpatrick, J. Kaplan, D. Li and J. Wang, On information loss in AdS3/CFT2, JHEP 05 (2016) 109 [1603.08925].
[6] A.L. Fitzpatrick, J. Kaplan and M.T. Walters, Virasoro Conformal Blocks and Thermality from Classical Background Fields, JHEP 11 (2015) 200 [1501.05315].
[7] A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian and A. Tajdini, Replica wormholes and the entropy of hawking radiation, 1911.12333v2.
[8] S. Collier, Y.-H. Lin and X. Yin, Modular bootstrap revisited, 1608.06241v1.
[9] S. Collier, P. Kravchuk, Y.-H. Lin and X. Yin, Bootstrapping the Spectral Function: On the Uniqueness of Liouville and the Universality of BTZ, 1702.00423.
[10] R. Rattazzi, V.S. Rychkov, E. Tonni and A. Vichi, Bounding scalar operator dimensions in 4D CFT, JHEP 12 (2008) 031 [0807.0004].
[11] V.S. Rychkov and A. Vichi, Universal Constraints on Conformal Operator Dimensions, Phys. Rev. D80 (2009) 045006 [0905.2211].
[12] F. Kos, D. Poland and D. Simmons-Duffin, Bootstrapping mixed correlators in the 3d ising model, 1406.4858v1.
[13] D. Simmons-Duffin, A semidefinite program solver for the conformal bootstrap, 1502.02033v1.
[14] S. Hellerman, A universal inequality for cft and quantum gravity, 0902.2790v2.
[15] D. Friedan and C.A. Keller, Constraints on 2d cft partition functions, 1307.6562v1.
[16] J.L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories, Nucl. Phys. B270 (1986) 186.
[17] P. Kraus and A. Maloney, A cardy formula for three-point coeflcients: How the black hole got its spots, 1608.03284v1.
[18] D. Das, S. Datta and S. Pal, Modular crossings, OPE coeflcients and black holes, 1712.01842.
[19] J. Cardy, A. Maloney and H. Maxfield, A new handle on three-point coeflcients: OPE asymptotics from genus two modular invariance, JHEP 10 (2017) 136 [1705.05855].
[20] Y. Kusuki, New Properties of Large-c Conformal Blocks from Recursion Relation, 1804.06171.
[21] Y. Hikida, Y. Kusuki and T. Takayanagi, ETH and Modular Invariance of 2D CFTs, 1804.09658.
[22] A. Romero-Bermu´dez, P. Sabella-Garnier and K. Schalm, A Cardy formula for off-diagonal three-point coeflcients; or, how the geometry behind the horizon gets disentangled, 1804.08899.
[23] E.M. Brehm, D. Das and S. Datta, Probing thermality beyond the diagonal, 1804.07924.
[24] Y. Kusuki and T. Takayanagi, Renyi entropy for local quenches in 2D CFT from numerical conformal blocks, JHEP 01 (2018) 115 [1711.09913].
[25] S. Collier, Y. Gobeil, H. Maxfield and E. Perlmutter, Quantum Regge Trajectories and the Virasoro Analytic Bootstrap, 1811.05710.
[26] A.L. Fitzpatrick, J. Kaplan, D. Poland and D. Simmons-Duffin, The Analytic Bootstrap and AdS Superhorizon Locality, JHEP 12 (2013) 004 [1212.3616].
[27] Z. Komargodski and A. Zhiboedov, Convexity and Liberation at Large Spin, JHEP 11 (2013) 140 [1212.4103].
[28] L.F. Alday, A. Bissi and T. Lukowski, Large spin systematics in CFT, JHEP 11 (2015) 101 [1502.07707].
[29] A. Kaviraj, K. Sen and A. Sinha, Analytic bootstrap at large spin, JHEP 11 (2015) 083 [1502.01437].
[30] A. Kaviraj, K. Sen and A. Sinha, Universal anomalous dimensions at large spin and large twist, JHEP 07 (2015) 026 [1504.00772].
[31] L.F. Alday, Large Spin Perturbation Theory for Conformal Field Theories, Phys. Rev. Lett. 119 (2017) 111601 [1611.01500].
[32] D. Simmons-Duffin, The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT, JHEP 03 (2017) 086 [1612.08471].
[33] L.F. Alday and A. Zhiboedov, An Algebraic Approach to the Analytic Bootstrap, JHEP 04 (2017) 157 [1510.08091].
[34] C. Sleight and M. Taronna, A Note on Anomalous Dimensions from Crossing Kernels, 1807.05941.
[35] A.L. Fitzpatrick, J. Kaplan and M.T. Walters, Universality of Long-Distance AdS Physics from the CFT Bootstrap, JHEP 08 (2014) 145 [1403.6829].
[36] A.B. Zamolodchikov, CONFORMAL SYMMETRY IN TWO-DIMENSIONS: AN EXPLICIT RECURRENCE FORMULA FOR THE CONFORMAL PARTIAL WAVE AMPLITUDE, Commun. Math. Phys. 96 (1984) 419.
[37] J. Teschner, Liouville theory revisited, Class. Quant. Grav. 18 (2001) R153 [hep-th/0104158].
[38] H. Chen, C. Hussong, J. Kaplan and D. Li, A Numerical Approach to Virasoro Blocks and the Information Paradox, JHEP 09 (2017) 102 [1703.09727].
[39] T. Hartman, C.A. Keller and B. Stoica, Universal Spectrum of 2d Conformal Field Theory in the Large c Limit, JHEP 09 (2014) 118 [1405.5137].
[40] P. Francesco, P. Mathieu and D. Se´ne´chal, Conformal field theory, Springer Science & Business Media (2012).
[41] E.P. Verlinde, Fusion rules and modular transformations in 2d conformal field theory, Nucl. Phys. B 300 (1988) 360.
[42] S. Pal and Z. Sun, Tauberian-cardy formula with spin, JHEP 01 (2020) 135 [1910.07727].
[43] A.B. Zamolodchikov, Conformal symmetry in two-dimensional space: recursion representation of conformal block, Theoretical and Mathematical Physics 73 (1987) 1088.
[44] F.A. Dolan and H. Osborn, Conformal four point functions and the operator product expansion, hep-th/0011040v3.
[45] F.A. Dolan and H. Osborn, Conformal partial waves and the operator product expansion, hep-th/0309180v2.
[46] D. Harlow, J. Maltz and E. Witten, Analytic Continuation of Liouville Theory, JHEP 12 (2011) 071 [1108.4417].
[47] P. Suchanek, Recursive methods of determination of 4-point blocks in N= 1 superconformal field theories, Ph.D. thesis, Ph. D thesis, Jagiellonian University, 2009.
[48] A. Maloney, H. Maxfield and G.S. Ng, A conformal block Farey tail, JHEP 06 (2017) 117 [1609.02165].
[49] C.-M. Chang and Y.-H. Lin, Bootstrapping 2D CFTs in the Semiclassical Limit, JHEP 08 (2016) 056 [1510.02464].
[50] E. Perlmutter, Virasoro conformal blocks in closed form, 1502.07742v2.
[51] J. Maldacena, D. Simmons-Duffin and A. Zhiboedov, Looking for a bulk point, JHEP 01 (2017) 013 [1509.03612].
[52] D. Das, Y. Kusuki and S. Pal, Universality in asymptotic bounds and its saturation in 2d cft, 2011.02482.
[53] J. Teschner, From Liouville theory to the quantum geometry of Riemann surfaces, in Mathematical physics. Proceedings, 14th International Congress, ICMP 2003, Lisbon, Portugal, July 28-August 2, 2003, 2003 [hep-th/0308031].
[54] L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block, JHEP 01 (2010) 063 [0911.2353].
[55] N. Nemkov, Analytic properties of the Virasoro modular kernel, Eur. Phys. J. C77 (2017) 368 [1610.02000].
[56] B. Ponsot and J. Teschner, Liouville bootstrap via harmonic analysis on a noncompact quantum group, hep-th/9911110.
[57] J. Teschner and G. Vartanov, 6j symbols for the modular double, quantum hyperbolic geometry, and supersymmetric gauge theories, Lett. Math. Phys. 104 (2014) 527 [1202.4698].
[58] C.-M. Chang and Y.-H. Lin, Bootstrap, universality and horizons, JHEP 10 (2016) 068 [1604.01774].
[59] L. Hadasz, Z. Jaskolski and M. Piatek, Analytic continuation formulae for the BPZ conformal block, Acta Phys. Polon. B36 (2005) 845 [hep-th/0409258].
[60] I. Esterlis, A.L. Fitzpatrick and D. Ramirez, Closure of the Operator Product Expansion in the Non-Unitary Bootstrap, JHEP 11 (2016) 030 [1606.07458].
[61] L.F. Alday and J.M. Maldacena, Comments on operators with large spin, JHEP 11 (2007) 019 [0708.0672].
[62] A.B. Zamolodchikov and A.B. Zamolodchikov, Liouville field theory on a pseudosphere, hep-th/0101152.
[63] A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B379 (1996) 99 [hep-th/9601029].
[64] S. Ribault, Conformal field theory on the plane, 1406.4290.
[65] S. Collier, A. Maloney, H. Maxfield and I. Tsiares, Universal dynamics of heavy operators in cft2, JHEP 07 (2020) 074 [1912.00222].
[66] Y. Kusuki and M. Miyaji, Entanglement entropy after double excitation as an interaction measure, Phys. Rev. Lett. 124 (2020) 061601 [1908.03351].
[67] J. Kudler-Flam, Y. Kusuki and S. Ryu, The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy, 2008.11266.
[68] J. Kudler-Flam, Y. Kusuki and S. Ryu, Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories, JHEP 04 (2020) 074 [2001.05501].
[69] L. Cornalba, M.S. Costa, J. Penedones and R. Schiappa, Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions, JHEP 08 (2007) 019 [hep-th/0611122].
[70] L. Cornalba, M.S. Costa, J. Penedones and R. Schiappa, Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions, Nucl. Phys. B767 (2007) 327 [hep-th/0611123].
[71] L. Cornalba, Eikonal methods in AdS/CFT: Regge theory and multi-reggeon exchange, 0710.5480.
[72] M.S. Costa, V. Goncalves and J. Penedones, Conformal Regge theory, JHEP 12 (2012) 091 [1209.4355].
[73] G.W. Moore and N. Seiberg, LECTURES ON RCFT, in 1989 Banff NATO ASI: Physics, Geometry and Topology Banff, Canada, August 14-25, 1989, pp. 1–129, 1989.
[74] N. Benjamin, H. Ooguri, S.-H. Shao and Y. Wang, Lightcone modular bootstrap and pure gravity, 1906.04184v2.
[75] N. Benjamin, S. Collier and A. Maloney, Pure gravity and conical defects, 2004.14428v2.
[76] A. Maloney and E. Witten, Quantum gravity partition functions in three dimensions, 0712.0155v1.
[77] C.T. Asplund, A. Bernamonti, F. Galli and T. Hartman, Entanglement Scrambling in 2d Conformal Field Theory, JHEP 09 (2015) 110 [1506.03772].
[78] Y. Kusuki and K. Tamaoka, Dynamics of entanglement wedge cross section from conformal field theories, 1907.06646v1.
[79] Y. Kusuki and K. Tamaoka, Entanglement wedge cross section from cft: Dynamics of local operator quench, 1909.06790v1.
[80] P. Caputa, T. Numasawa, T. Shimaji, T. Takayanagi and Z. Wei, Double local quenches in 2d cfts and gravitational force, 1905.08265v3.
[81] G. Moore and N. Seiberg, Naturality in conformal field theory, Nuclear Physics B 313 (1989) 16.