Holographic partition functions and phases for higher genus Riemann surfaces

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

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
• Public URL: https://durham-repository.worktribe.com/output/1381410
• Related Public URLs: https://arxiv.org/abs/1601.00980