3 papers
hep-th2019
Hydrodynamics of broken global symmetries in the bulk
Aristomenis Donos, Daniel Martin, Christiana Pantelidou +1
We consider holographic theories at finite temperature in which a continuous global symmetry in the bulk is spontaneously broken. We study the linear response of operators in a reg…
math.DG2019
Mass rigidity for hyperbolic manifolds
Lan-Hsuan Huang, Hyun Chul Jang, Daniel Martin
We prove the rigidity of positive mass theorem for asymptotically hyperbolic manifolds. Namely, if the mass equality holds, then the manifold is isometric to hyperbolic space. The…
math.DG2017
Static potentials and area minimizing hypersurfaces
Lan-Hsuan Huang, Daniel Martin, Pengzi Miao
We show that if an asymptotically flat manifold with horizon boundary admits a global static potential, then the static potential must be zero on the boundary. We also show that if…