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We revisit the consistency of torus partition functions in (1+1)$d$ fermionic conformal field theories, combining traditional ingredients of modular invariance/covariance with a modernized understanding of bosonization/fermionization dualities.
1902
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N. Afkhami-Jeddi, T. Hartman, and A. Tajdini, Fast Conformal Bootstrap and Constraints on 3d Gravity
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P. Saad, S. H. Shenker, and D. Stanford, JT gravity as a matrix integral
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Y.-H. Lin and S.-H. Shao, Anomalies and Bounds on Charged Operators
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1904
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T. Hartman, D. Mazac, and L. Rastelli, Sphere Packing and Quantum Gravity
1905
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N. Benjamin, H. Ooguri, S.-H. Shao, and Y. Wang, Light-cone modular bootstrap and pure gravity
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J. Kaidi, J. Parra-Martinez, and Y. Tachikawa, GSO projections via SPT phases
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W. Ji, S.-H. Shao, and X.-G. Wen, Topological Transition on the Conformal Manifold
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P.-S. Hsin and S.-H. Shao, Lorentz Symmetry Fractionalization and Dualities in (2+1)d
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W. Landry and D. Simmons-Duffin, Scaling the semidefinite program solver SDPB
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Y.-H. Lin, D. Meltzer, S.-H. Shao, and A. Stergiou, Bounds on Triangle Anomalies in (3+1) d d
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S. Pal and Z. Sun, Tauberian-Cardy formula with spin
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2002
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D. Simmons-Duffin, A Semidefinite Program Solver for the Conformal Bootstrap
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2015
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D. Gaiotto and A. Kapustin, Spin TQFTs and fermionic phases of matter
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2003
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S. Pal and Z. Sun, High Energy Modular Bootstrap, Global Symmetries and Defects
2004
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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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A. Maloney and E. Witten, Quantum Gravity Partition Functions in Three Dimensions
2010
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S. Hellerman, A Universal Inequality for CFT and Quantum Gravity
2011
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2012
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2016
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M. Lemos and P. Liendo, 𝒩 = 2 \mathcal{N}=2 central charge bounds from 2 d 2d chiral algebras
2016
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2017
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J.-B. Bae, S. Lee, and J. Song, Modular Constraints on Conformal Field Theories with Currents
2017
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2017
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A. Kapustin and R. Thorngren, Fermionic SPT phases in higher dimensions and bosonization
2017
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S. Collier, Y.-H. Lin, and X. Yin, Modular Bootstrap Revisited
2018
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2018
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2018
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T. Anous, R. Mahajan, and E. Shaghoulian, Parity and the modular bootstrap
2018
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J.-B. Bae, S. Lee, and J. Song, Modular Constraints on Superconformal Field Theories
2019
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Y. Tachikawa, “TASI 2019 Lectures.” https://member.ipmu.jp/yuji.tachikawa/lectures/2019-top-anom
2019
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2019
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