Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 33, Issue 12, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/33/12/125018
Keywords
AdS/CFT; 2+1 gravity; partition function
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Funding
- STFC STEP award
- Simons Foundation
- STFC [ST/L000407/1]
- European Research Council [ERC-2011-StG279363-HiDGR]
- Science and Technology Facilities Council [ST/L000407/1] Funding Source: researchfish
- STFC [ST/L000407/1] Funding Source: UKRI
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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.
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