Ensemble averages of Z2 orbifold classes of Narain CFTs

25 Sept 2024, 14:34
17m
Seminar room 3

Seminar room 3

Strings & Mathematical Physics Parallel Wednesday Strings & Mathematical Physics

Speaker

Alexandros Kanargias (University of Mainz (JGU))

Description

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.

Based on arXiv:2403.02976 with Stefan Forste, Hans Jockers, Joshua Kames-King and Ida G. Zadeh.

Primary author

Alexandros Kanargias (University of Mainz (JGU))

Presentation materials