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2018

The Most Irrational Rational Theories

Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam et al.

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We propose a two-parameter family of modular invariant partition functions of two-dimensional conformal field theories (CFTs) holographically dual to pure three-dimensional gravity in anti de Sitter space.

Our two parameters control the central charge, and the representation of $SL(2,\mathbb{Z})$.
At large central charge, the partition function has a gap to the first nontrivial primary state of $\frac{c}{24}$.
As the $SL(2,\mathbb{Z})$ representation dimension gets large, the partition function exhibits some of the qualitative features of an irrational CFT.

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