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.

38 pages + references, 8 figures; v2: several clarifications made; refined argument for positivity of entanglement entropy; references added; typos fixed; matches published version

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Cited by in corpus (10)

• Bridging Dimensions: General Embedding Algorithm and Field-Theory Reconstruction in 5D Braneworld Models
• Geometrizing the Partial Entanglement Entropy: from PEE Threads to Bit Threads
• Holographic complexity: braneworld gravity versus the Lloyd bound
• Modular Hamiltonian for de Sitter diamonds
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Binary AdS black holes coupled to a bath in Type IIB
• Entanglement structures from modified IR geometry
• The fate of Schwarzschild--de Sitter black holes: nonequilibrium evaporation
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography