Entanglement wedge cross-section with Gauss-Bonnet corrections and thermal quench

The Gauss-Bonnet Theorem

The Gauss-bonnet Theorem

The Gauss Bonnet theorem links differential geometry with topology. The following expository piece presents a proof of this theorem, building up all of the necessary topological tools. Important applications of this theorem are discussed.

Thermal corrections to entanglement entropy from holography

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction to the entropy in the large-N expansion, quantum corrections to the holographic entanglement entropy formula are essential. The bulk calculation is made tract...

Gauss - Bonnet brane cosmology

We consider 5-dimensional spacetimes of constant 3-dimensional spatial curvature in the presence of a bulk cosmological constant. We find the general solution of such a configuration in the presence of a Gauss-Bonnet term. Two classes of non-trivial bulk solutions are found. The first class is valid only under a fine tuning relation between the Gauss-Bonnet coupling constant and the cosmologica...

Gauss-Bonnet Brane Cosmology with Radion Stabilization

G.L. Alberghi 2, 3, ∗ and A. Tronconi 3, † Department of Physics, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy. Department of Astronomy, University of Bologna, Italy. I.N.F.N., Sezione di Bologna, Italy. We study cosmology in a five-dimensional brane-world with a stabilizing effective potential for the radion and matter localized on the two branes. We consider the corrections ind...