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Original
1903
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Original
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1992
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1998
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R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, “Bounding scalar operator dimensions in 4D CFT,” JHEP
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2008
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2010
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S. Hellerman, “A Universal Inequality for CFT and Quantum Gravity,” JHEP
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2011
Cited alongside, same era.

Then

T. Hartman, C. A. Keller and B. Stoica, “Universal Spectrum of 2d Conformal Field Theory in the Large c Limit,” JHEP
Original
2014
Later among the works it cites.
C. A. Keller and A. Maloney, “Poincare Series, 3D Gravity and CFT Spectroscopy,” JHEP
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2015
Later among the works it cites.
J. D. Qualls, “Universal Bounds in Even-Spin CFTs,” JHEP
Original
2015
Later among the works it cites.
S. Collier, Y. H. Lin and X. Yin, “Modular Bootstrap Revisited,” JHEP
Original
2018
Later among the works it cites.
Y. Kusuki, “Light Cone Bootstrap in General 2D CFTs and Entanglement from Light Cone Singularity,” JHEP
Original

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2019

Modular Bootstrap, Elliptic Points, and Quantum Gravity

Gliozzi, Ferdinando

Understand

The modular bootstrap program for 2d CFTs could be seen as a systematic exploration of the physical consequences of consistency conditions at the elliptic points and at the cusp of their toruspartition function.

The study at $\tau=i$, the elliptic point stabilized by the modular inversion $S$, was initiated by Hellerman, who found a general upper bound for the most relevant scaling dimension $\Delta$.
Likewise, analyticity at $\tau=i\infty$, the cusp stabilized by the modular translation $T$, yields an upper bound on the twist gap.
Here we study consistency conditions at $\tau=\exp[2i\pi/3]$, the elliptic point stabilized by $S T$.