Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

Chern-Simons invariants from ensemble averages

Not scheduled
20m
Audimax (University of Vienna)

Audimax

University of Vienna

Universitätsring 1, 1010 Vienna, Austria

Speaker

Jacob Michael Leedom (DESY)

Description

I will discuss ensemble averages of two-dimensional conformal field theories associated with an arbitrary indefinite lattice with integral quadratic form Q. I will provide evidence that the holographic dual after the ensemble average is the three-dimensional Abelian Chern-Simons theory with kinetic term determined by Q. The resulting partition function can be written as a modular form, expressed as a sum over the partition functions of Chern-Simons theories on lens spaces. For odd lattices, the dual bulk theory is a spin Chern-Simons theory, and I identify several novel phenomena in this case. I will also discuss the holographic duality prior to averaging in terms of Maxwell-Chern-Simons theories.

Primary author

Co-authors

Dr Abhiram Kidambi (Kavli IPMU) Meer Ashwinkumar (The University of Tokyo (Kavli IPMU)) Matthew Dodelson (CERN) Masahito Yamazaki (Kavli IPMU, University of Tokyo)

Presentation materials

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