35 citations · 168 across the 10 of their papers we have counts for
4 papers · 1 filter
Aperiodic spin chains at the boundary of hyperbolic tilings
Pablo Basteiro, Rathindra Nath Das, Giuseppe Di Giulio +1
In view of making progress towards establishing a holographic duality for theories defined on a discrete tiling of the hyperbolic plane, we consider a recently proposed boundary sp…
Towards Explicit Discrete Holography: Aperiodic Spin Chains from Hyperbolic Tilings
Pablo Basteiro, Giuseppe Di Giulio, Johanna Erdmenger +3
We propose a new example of discrete holography that provides a new step towards establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is obtained…
Breitenlohner-Freedman bound on hyperbolic tilings
Pablo Basteiro, Felix Dusel, Johanna Erdmenger +4
We establish how the Breitenlohner-Freedman (BF) bound is realized on tilings of two-dimensional Euclidean Anti-de Sitter space. For the continuum, the BF bound states that on Anti…
Fractional Klein-Gordon Equation on AdS
Pablo Basteiro, Janine Elfert, Johanna Erdmenger +1
We propose a covariant definition of the fractional Klein-Gordon equation with long-range interactions independent of the metric of the underlying manifold. As an example we consid…