We discuss higher dimensional generalizations of the
0+10+1-dimensional
Sachdev-Ye-Kitaev (SYK) model that has recently become the focus of
intensive interdisciplinary studies by, both, the condensed matter and
field-theoretical communities. Unlike the previous constructions where
multiple SYK copies would be coupled to each other and/or hybridized
with itinerant fermions via spatially short-ranged random hopping
processes, we study algebraically varying long-range (spatially and/or
temporally) correlated random couplings in the general
d+1d+1
dimensions. Such pertinent topics as translationally-invariant
strong-coupling solutions, emergent reparametrization symmetry,
effective action for fluctuations, chaotic behavior, and diffusive
transport (or a lack thereof) are all addressed. We find that the most
appealing properties of the original SYK model that suggest the
existence of its 1+11+1-dimensional
holographic gravity dual do not survive the aforementioned
generalizations, thus lending no additional support to the hypothetical
broad (including ’non-AdS_{d+2}AdSd+2/non-CFT_{d+1}CFTd+1’)
holographic correspondence.
Supplementary material to "Aerosol distribution in the northern Gulf of Guinea: local anthropogenic sources, long-range transport and the role of coastal shallow circulations"
