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

Chern-Simons invariants from ensemble averages

Not scheduled
Audimax (University of Vienna)


University of Vienna

Universitätsring 1, 1010 Vienna, Austria


Jacob Michael Leedom (DESY)


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


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

There are no materials yet.