Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2017)138
Keywords
1/N Expansion; AdS-CFT Correspondence; Black Holes in String Theory; Field Theories in Lower Dimensions
Categories
Funding
- ISF center of excellence grant [1989/14]
- International Centre for Theoretical Sciences (ICTS), India
- NSERC
- Science and Technology Facilities Council (STFC) [ST/L000458/1]
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We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains N Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum fermions of definite chirality within each lattice site. This gives rise to an ordinary 1+1 field theory above some energy scale and a low energy SYK-like behavior. We exhibit a class of low-pass filters which give rise to a rich variety of hyperscaling behaviour in the IR. We also discuss another set of generalizations which describes probing an SYK system with an external fermion, together with the new scaling behavior they exhibit in the IR.
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