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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…
Renormalization of lattice field theories with infinite-range wavelets
Pascal Fries, Ignacio Reyes, Johanna Erdmenger +1
We present a new exact renormalization approach for quantum lattice models leading to long-range interactions. The renormalization scheme is based on wavelets with an infinite supp…
Topological Complexity in AdS3/CFT2
Raimond Abt, Johanna Erdmenger, Haye Hinrichsen +4
We consider subregion complexity within the AdS3/CFT2 correspondence. We rewrite the volume proposal, according to which the complexity of a reduced density matrix is given by the…
Maximal Localisation in the Presence of Minimal Uncertainties in Positions and Momenta
Haye Hinrichsen, Achim Kempf
Small corrections to the uncertainty relations, with effects in the ultraviolet and/or infrared, have been discussed in the context of string theory and quantum gravity. Such corre…
On the Two-Point Correlation Function for the Invariant Spin One-Half Heisenberg Chain at Roots of Unity
H. Hinrichsen, P. P. Martin, V. Rittenberg +1
Using tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground-state give the two-point correlation functions. The TPSOs are iden…