Constraining braneworlds with entanglement entropy

Abstract

We propose swampland criteria for braneworlds viewed as effective field theories of defects coupled to semiclassical gravity. We do this by exploiting their holographic interpretation. We focus on general features of entanglement entropies and their holographic calculations. Entropies have to be positive. Furthermore, causality imposes certain constraints on the surfaces that are used holographically to compute them, most notably a property known as causal wedge inclusion. As a test case, we explicitly constrain the Dvali-Gabadadze-Porrati term as a second-order-in-derivatives correction to the Randall-Sundrum action. We conclude by discussing the implications of these criteria for the question on whether entanglement islands in theories with massless gravitons are possible in Karch-Randall braneworlds.

Binary AdS black holes coupled to a bath in Type IIB

“…Conversely, it would be interesting to study aspects which have been studied recently in bottom-up models in the top-down models, e.g. additional information-theoretic quantities [53][54][55][56][57][58][59][60][61][62][63], charged black holes [64][65][66][67], connections to bootstrap conditions [68][69][70][71][72][73] and effective brane description [74][75][76][77][78][79][80][81], more general dynamics [82][83][84][85][86], and connections to de Sitter space and cosmology [87][88][89][90][91][92][93][94][95][96][97].…”

Modular Hamiltonian for de Sitter diamonds

“…[21]) can be used to compute it via a holographic correspondence. Moreover, similar studies have been carried out in the context of de Sitter holography [22][23][24][25][26] or brane world scenarios [27]. Entanglement and entanglement entropy have furthermore been used to derive gravitational laws [28][29][30][31][32][33][34], based on the older ideas of emergent gravity of Jacobson [35], Padmanabhan [36] and Verlinde [37].…”