TL;DR
This paper introduces a new way to model non-relativistic fermions within the AdS/CFT framework by applying Lorentz-violating boundary conditions, resulting in a boundary theory with a flat band of gapless excitations.
Contribution
It presents a novel method to realize non-relativistic fermions in AdS/CFT using Lorentz-violating boundary conditions, leading to a scale-invariant boundary theory with a flat band.
Findings
Boundary theory exhibits a dispersionless flat band of gapless excitations.
The approach enables modeling of non-relativistic fermions in holography.
The boundary theory remains scale invariant.
Abstract
We describe a novel implementation of non-relativistic fermions in AdS/CFT by imposing Lorentz violating boundary conditions for a Dirac spinor in AdS4. The dual boundary theory is scale invariant and exhibits a number of interesting properties, including a dispersionless flat band of gapless excitations.
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