Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Meer Ashwinkumar, Jacob M. Leedom, Masahito Yamazaki, ,
| Summary:
We discuss interrelations between several ideas in quantum gravity. One is
the Swampland program, which states that a low-energy effective field theory
should satisfy non-trivial constraints to have an ultraviolet (UV) completion
in quantum gravity. Another is the concept of ensemble averaging in holography,
where a coarse-grained description is obtained by an integral over a moduli
space. To examine the relation between the two, we study ensemble averages of
generalized Narain-type theories associated with a general even quadratic form
and their holographic duals. We establish the emergence of global symmetries
and discuss their consistency with the Swampland conjecture forbidding exact
global symmetries. Out of all the zero-form symmetries, the quantum symmetries
in the bulk are truly emergent, while classical symmetries are identified as
vestiges of T-duality of the Narain-type theories. The latter mechanism can be
formulated very generally as a “folding” of T-duality orbits via the
Siegel-Weil Theorem. We also discuss the interrelations between the Swampland
distance conjecture, on one hand, and ensemble averaging and spectral
decompositions, on the other. The spectral decomposition also illustrates how
ensemble averaging sits within the low-energy limit of certain string
compactifications. Our analysis suggests fascinating links between the
Swampland, the Landscape, and ensemble averaging.
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