Ensemble Averages of $\mathbb{Z}_2$ Orbifold Classes of Narain CFTs
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910379185012736 |
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| author | Forste, Stefan Jockers, Hans Kames-King, Joshua Kanargias, Alexandros Zadeh, Ida G. |
| author_facet | Forste, Stefan Jockers, Hans Kames-King, Joshua Kanargias, Alexandros Zadeh, Ida G. |
| contents | In this work we study families of $\mathbb{Z}_2$ 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 $\mathbb{Z}_2$ orbifold classes of ensembles of conformal field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02976 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ensemble Averages of $\mathbb{Z}_2$ Orbifold Classes of Narain CFTs Forste, Stefan Jockers, Hans Kames-King, Joshua Kanargias, Alexandros Zadeh, Ida G. High Energy Physics - Theory In this work we study families of $\mathbb{Z}_2$ 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 $\mathbb{Z}_2$ orbifold classes of ensembles of conformal field theories. |
| title | Ensemble Averages of $\mathbb{Z}_2$ Orbifold Classes of Narain CFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.02976 |