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Holographic partition functions and phases for higher genus Riemann surfaces

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arxiv 1601.00980 v1 pith:P72SZBE4 submitted 2016-01-05 hep-th gr-qc

Henry Maxfield , Simon Ross , Benson Way This is my paper · ORCID
classification hep-thgr-qc
keywords genussaddlesactionbulkholographicpartitionriemanntwo-dimensional
verification ladder T0 review T1 audit T2 compute T3 formal

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We describe a numerical method to compute the action of Euclidean saddlepoints for the partition function of a two-dimensional holographic CFT on a Riemann surface of arbitrary genus, with constant curvature metric. We explicitly evaluate the action for the saddles for genus two and map out the phase structure of dominant bulk saddles in a two-dimensional subspace of the moduli space. We discuss spontaneous breaking of discrete symmetries, and show that the handlebody bulk saddles always dominate over certain non-handlebody solutions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT

    hep-th 2019-09 conditional novelty 7.0 of 10

    Smooth Euclidean saddles with thin domain walls cannot create inflating interiors in AdS, but can create arbitrarily large bag-of-gold geometries at fixed black hole entropy.

  2. Holographic black hole cosmologies

    hep-th 2024-11 conditional novelty 6.0 of 10

    A holographic construction of a big-bang/big-crunch cosmology filled with a lattice of black holes is shown to dominate the Euclidean path integral when the black holes are larger than about 1.1 AdS lengths and closel...

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