Light-cone modular bootstrap and pure gravity

  title={Light-cone modular bootstrap and pure gravity},
  author={Nathan Benjamin and Hirosi Ooguri and Shu-Heng Shao and Y. Wang},
  journal={Physical Review D},
We explore the large spin spectrum in two-dimensional conformal field theories with a finite twist gap, using the modular bootstrap in the light-cone limit. By recursively solving the modular crossing equations associated with different PSL(2,Z) elements, we identify the universal contribution to the density of large spin states from the vacuum in the dual channel. Our result takes the form of a sum over PSL(2,Z) elements, whose leading term generalizes the usual Cardy formula to a wider regime… 

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