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
Jacob Michael Leedom
(DESY)
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)
