Gravity from Averaging CFTs

09/28/2020 - 2:00pm
Speaker(s) / Presenter(s): 
Alexander Maloney (McGill)



I will explore the idea that certain theories of gravity in Anti-de
Sitter space are dual to an average over an ensemble of quantum
theories, rather than to a specific quantum theory.  I will describe
an average over Narain’s family of two-dimensional conformal field
theories which describe free bosons on a torus, and compute the
partition function using the Siegel-Weil formula.  The result takes
the form of a sum over geometries as one would expect in a theory of
gravity.  But the gravitational theory looks more like a Chern-Simons
theory than like Einstein gravity.





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