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We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories.
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M. Bershadsky and H. Ooguri, Hidden SL(n) Symmetry in Conformal Field Theories
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J. M. Landsberg and L. Manivel, The sextonions and E 7 1 2 E_{7\frac{1}{2}}
2006
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R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, Bounding scalar operator dimensions in 4D CFT
2008
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M. P. Tuite, Exceptional Vertex Operator Algebras and the Virasoro Algebra
2009
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2010
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S. Hellerman, A Universal Inequality for CFT and Quantum Gravity
2011
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S. Hellerman and C. Schmidt-Colinet, Bounds for State Degeneracies in 2D Conformal Field Theory
J. D. Qualls, Universal Bounds in Even-Spin CFTs
2015
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D. Simmons-Duffin, A Semidefinite Program Solver for the Conformal Bootstrap
2015
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C.-M. Chang and Y.-H. Lin, Bootstrapping 2D CFTs in the Semiclassical Limit
2016
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C.-M. Chang and Y.-H. Lin, Bootstrap, universality and horizons
2016
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2016
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2011
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D. Poland, D. Simmons-Duffin, and A. Vichi, Carving Out the Space of 4D CFTs
2012
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D. Friedan and C. A. Keller, Constraints on 2d CFT partition functions
2013
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C. A. Keller and H. Ooguri, Modular Constraints on Calabi-Yau Compactifications
2013
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2013
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2014
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J. D. Qualls and A. D. Shapere, Bounds on Operator Dimensions in 2D Conformal Field Theories
2014
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N. J. Iles and G. M. T. Watts, Characters of the W 3 W_{3} algebra
2014
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H. R. Hampapura and S. Mukhi, On 2d Conformal Field Theories with Two Characters
2016
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H. R. Hampapura and S. Mukhi, Two-dimensional RCFT’s without Kac-Moody symmetry
2016
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N. J. Iles and G. M. T. Watts, Modular properties of characters of the W 3
2016
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2017
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Y.-H. Lin, S.-H. Shao, Y. Wang, and X. Yin, (2, 2) superconformal bootstrap in two dimensions
2017
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The GAP Group, GAP – Groups, Algorithms, and Programming, Version 4.8.7
2017
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V. G. Drinfeld and V. V. Sokolov, Lie algebras and equations of Korteweg-de Vries type
2036
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