Effective action, spectrum and first law of wedge holography

A bstract In this paper, we study the effective action, mass spectrum and first law of entanglement entropy for a novel doubly holographic model called wedge holography. We work out action quantum gravity on branes. perturbative formulation, it is given by an infinite sum Pauli-Fierz actions. non-perturbative composed higher derivative matter action. Usually, can be renormalizable but suffers ghost problem. For our case, since theory brane equivalent to Einstein in bulk, must ghost-free. notice that plays important role eliminating ghost. also provide evidences ghost-free multi-gravity. Besides, prove yields correct Weyl anomaly. Interestingly, although tower gravity, anomaly exactly same as gravity. analyze Remarkably, there always massless mode gravitons end-of-the-world branes This happens because one imposes Neumann boundary condition both On other hand, disappears if Dirichlet world AdS/BCFT. Finally, verify massive fluctuations are irrelevant order perturbation entropy. Thus, many aspects, behaves like