Ensemble averages of ℤ2 orbifold classes of Narain CFTs
Ensemble averages of ℤ2 orbifold classes of Narain CFTs
In this work we study families of ℤ2 orbifolds of toroidal conformal field theories based on both factorizable and non-factorizable target space tori. For these classes of theories, we analyze their moduli spaces, and compute their partition functions. Building on previous work, we express the calculated partition functions in terms of suitable Siegel-Narain theta functions that allow us to determine their ensemble averages. We express the derived averaged partition functions of the studied families of conformal field theories in a manifest modular invariant finite sum of products of real analytic Eisenstein series. We speculate on a tentative holographic three-dimensional dual bulk interpretations for the considered ℤ2 orbifold classes of ensembles of conformal field theories.
Forste, Stefan
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Jockers, Hans
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Kames-King, Joshua
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Kanargias, Alexandros
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Zadeh, Ida G.
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21 May 2024
Forste, Stefan
87e473eb-6152-43fc-9fb0-b2115fb73449
Jockers, Hans
dfc07c0d-f7b2-4744-862a-ab24847d1831
Kames-King, Joshua
3dfd78cf-5689-4991-991b-4b96caca3bf3
Kanargias, Alexandros
18e3edbe-1d00-46a9-884c-4b5ce3785e6a
Zadeh, Ida G.
f1a525ce-9b07-456b-a4f3-435434f833ae
Forste, Stefan, Jockers, Hans, Kames-King, Joshua, Kanargias, Alexandros and Zadeh, Ida G.
(2024)
Ensemble averages of ℤ2 orbifold classes of Narain CFTs.
JHEP, 2024, [240].
(doi:10.1007/JHEP05(2024)240).
Abstract
In this work we study families of ℤ2 orbifolds of toroidal conformal field theories based on both factorizable and non-factorizable target space tori. For these classes of theories, we analyze their moduli spaces, and compute their partition functions. Building on previous work, we express the calculated partition functions in terms of suitable Siegel-Narain theta functions that allow us to determine their ensemble averages. We express the derived averaged partition functions of the studied families of conformal field theories in a manifest modular invariant finite sum of products of real analytic Eisenstein series. We speculate on a tentative holographic three-dimensional dual bulk interpretations for the considered ℤ2 orbifold classes of ensembles of conformal field theories.
Text
JHEP05(2024)240
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Accepted/In Press date: 24 April 2024
Published date: 21 May 2024
Identifiers
Local EPrints ID: 502987
URI: http://eprints.soton.ac.uk/id/eprint/502987
ISSN: 1126-6708
PURE UUID: f281d07d-25a2-49cf-8e50-46de0711d2f7
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Date deposited: 15 Jul 2025 16:53
Last modified: 22 Aug 2025 02:43
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Contributors
Author:
Stefan Forste
Author:
Hans Jockers
Author:
Joshua Kames-King
Author:
Alexandros Kanargias
Author:
Ida G. Zadeh
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