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  1. A<sc>bstract</sc>

    Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how these computations can be justified using the replica trick, from geometries with a spacetime wormhole connecting the different replicas. In a simple model, we study the Page transition in detail by summing replica geometries with different topologies. We compute related quantities in less detail in more complicated models, including JT gravity coupled to conformal matter and the SYK model. Separately, we give a direct gravitational argument for entanglement wedge reconstruction using an explicit formula known as the Petz map; again, a spacetime wormhole plays an important role. We discuss an interpretation of the wormhole geometries as part of some ensemble average implicit in the gravity description.

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  2. Abstract

    The UV finiteness found in calculations of the 4‐point amplitude insupergravity at loop orderhas not been explained, which motivates our study of the relevant superspace invariants and on‐shell superamplitudes for bothand. The local 4‐point superinvariants forare expected to have nonlinear completions whose 6‐point amplitudes have non‐vanishing SSL's (soft scalar limits), violating the behavior required of Goldstone bosons. For, we find atthat local 6‐point superinvariant and superamplitudes, which might cancel these SSL's, do not exist. This rules out the candidate 4‐point counterterm and thus gives a plausible explanation of the observedfiniteness. However, atwe construct a local 6‐point superinvariant with non‐vanishing SSL's, so the SSL argument does not explain the observedUV finiteness. Forsupergravity there are no 6‐point invariants at eitheror 4, so the SSL argument predicts UV finiteness.

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  3. Abstract

    We discuss some basic aspects of effective field theory applied to supergravity theories which arise in the low‐energy limit of string theory. Our discussion is particularly relevant to the effective field theories of no‐scale supergravities that break supersymmetry, including those that appear in constructing de Sitter solutions of string theory.

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  4. A bstract Previous work has explored the connections between three concepts — operator size, complexity, and the bulk radial momentum of an infalling object — in the context of JT gravity and the SYK model. In this paper we investigate the higher dimensional generalizations of these connections. We use a toy model to study the growth of an operator when perturbing the vacuum of a CFT. From circuit analysis we relate the operator growth to the rate of increase of complexity and check it by complexity-volume duality. We further give an empirical formula relating complexity and the bulk radial momentum that works from the time that the perturbation just comes in from the cutoff boundary, to after the scrambling time. 
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  5. A bstract We study non-supersymmetric extremal black hole excitations of 4d $$ \mathcal{N} $$ N = 2 supersymmetric string vacua arising from compactification on Calabi-Yau threefolds. The values of the (vector multiplet) moduli at the black hole horizon are governed by the attractor mechanism. This raises natural questions, such as “what is the distribution of attractor points on moduli space?” and “how many attractor black holes are there with horizon area up to a certain size?” We employ tools developed by Denef and Douglas [1] to answer these questions. 
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