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Holographic partition functions and phases for higher genus Riemann surfaces.

Maxfield, Henry and Ross, Simon F. and Way, Benson (2016) 'Holographic partition functions and phases for higher genus Riemann surfaces.', Classical and quantum gravity., 33 (12). p. 125018.


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.

Item Type:Article
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Publisher 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
Date accepted:05 April 2016
Date deposited:01 June 2016
Date of first online publication:17 May 2016
Date first made open access:17 May 2017

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