The most irrational rational theories
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Published version
Date
2019-04
Authors
Benjamin, Nathan
Dyer, Ethan
Fitzpatrick, A. Liam
Xin, Yuan
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Published version
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Citation
N. Benjamin, E. Dyer, A.L. Fitzpatrick, Y. Xin. 2019. "The most irrational rational theories." Journal of High Energy Physics, Volume 2019, Issue 4, https://doi.org/10.1007/jhep04(2019)025
Abstract
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, ℤ). At large central charge, the partition function has a gap to the first nontrivial primary state of 𝑐24. As the SL(2, ℤ) representation dimension gets large, the partition function exhibits some of the qualitative features of an irrational CFT. This, for instance, is captured in the behavior of the spectral form factor. As part of these analyses, we find similar behavior in the minimal model spectral form factor as c approaches 1.
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