Symmetries and spectral statistics in chaotic conformal field theories
Symmetries and spectral statistics in chaotic conformal field theories
We discuss spectral correlations in coarse-grained chaotic two-dimensional CFTs with large central charge. We study a partition function describing the dense part of the spectrum of primary states in a way that disentangles the chaotic properties of the spectrum from those which are a consequence of Virasoro symmetry and modular invariance. We argue that random matrix universality in the near-extremal limit is an independent feature of each spin sector separately; this is a non-trivial statement because the exact spectrum is fully determined by only the spectrum of spin zero primaries and those of a single non-zero spin (“spectral determinacy”). We then describe an argument analogous to the one leading to Cardy’s formula for the averaged density of states, but in our case applying it to spectral correlations: assuming statistical universalities in the near-extremal spectrum in all spin sectors, we find similar random matrix universality in a large spin regime far from extremality.
Haehl, Felix
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Marteau, Charles
043e60c6-0a31-44d4-9817-257130c65e69
Reeves, Wyatt
1216efa2-851f-4256-bd67-1ae3fe2b0f15
Rozali, Moshe
2504cb72-cdbe-44dc-b7d0-59fa63b54282
25 July 2023
Haehl, Felix
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Marteau, Charles
043e60c6-0a31-44d4-9817-257130c65e69
Reeves, Wyatt
1216efa2-851f-4256-bd67-1ae3fe2b0f15
Rozali, Moshe
2504cb72-cdbe-44dc-b7d0-59fa63b54282
Haehl, Felix, Marteau, Charles, Reeves, Wyatt and Rozali, Moshe
(2023)
Symmetries and spectral statistics in chaotic conformal field theories.
Journal of High Energy Physics, [196].
(doi:10.48550/arXiv.2302.14482).
Abstract
We discuss spectral correlations in coarse-grained chaotic two-dimensional CFTs with large central charge. We study a partition function describing the dense part of the spectrum of primary states in a way that disentangles the chaotic properties of the spectrum from those which are a consequence of Virasoro symmetry and modular invariance. We argue that random matrix universality in the near-extremal limit is an independent feature of each spin sector separately; this is a non-trivial statement because the exact spectrum is fully determined by only the spectrum of spin zero primaries and those of a single non-zero spin (“spectral determinacy”). We then describe an argument analogous to the one leading to Cardy’s formula for the averaged density of states, but in our case applying it to spectral correlations: assuming statistical universalities in the near-extremal spectrum in all spin sectors, we find similar random matrix universality in a large spin regime far from extremality.
Text
jhep07(2023)196
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Accepted/In Press date: 14 July 2023
Published date: 25 July 2023
Identifiers
Local EPrints ID: 480198
URI: http://eprints.soton.ac.uk/id/eprint/480198
ISSN: 1126-6708
PURE UUID: a3a21aad-6127-484d-a09f-7078a3e866fa
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Date deposited: 01 Aug 2023 17:02
Last modified: 17 Mar 2024 04:14
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Author:
Felix Haehl
Author:
Charles Marteau
Author:
Wyatt Reeves
Author:
Moshe Rozali
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