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Holographic partition functions and phases for higher genus Riemann surfaces

Maxfield, Henry; Ross, Simon F.; Way, Benson

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Authors

Henry Maxfield

Benson Way



Abstract

We describe a numerical method to compute the action of Euclidean saddle points 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.

Citation

Maxfield, H., Ross, S. F., & Way, B. (2016). Holographic partition functions and phases for higher genus Riemann surfaces. Classical and Quantum Gravity, 33(12), Article 125018. https://doi.org/10.1088/0264-9381/33/12/125018

Journal Article Type Article
Acceptance Date Apr 5, 2016
Online Publication Date May 17, 2016
Publication Date May 1, 2016
Deposit Date May 19, 2016
Publicly Available Date May 17, 2017
Journal Classical and Quantum Gravity
Print ISSN 0264-9381
Electronic ISSN 1361-6382
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 33
Issue 12
Article Number 125018
DOI https://doi.org/10.1088/0264-9381/33/12/125018
Related Public URLs https://arxiv.org/abs/1601.00980

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Copyright Statement
This is an author-created, un-copyedited version of an article published in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0264-9381/33/12/125018







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