Holography on non-orientable surfaces

Maloney, Alex; Ross, Simon F.

Abstract

We consider the holographic computation of two-dimensional conformal field theory partition functions on non-orientable surfaces. We classify the three dimensional geometries that give bulk saddle point contributions to the partition function, and find that there are fewer saddles than in the orientable case. For example, for the Klein bottle there is a single smooth saddle and a single additional saddle with an orbifold singularity. We argue that one must generally include singular bulk saddle points in order to reproduce the CFT results. We also discuss loop corrections to these partition functions for the Klein bottle.

Citation

Maloney, A., & Ross, S. F. (2016). Holography on non-orientable surfaces. Classical and Quantum Gravity, 33(18), Article 185006. https://doi.org/10.1088/0264-9381/33/18/185006

• Journal Article Type: Article
• Acceptance Date: Jul 7, 2016
• Online Publication Date: Aug 22, 2016
• Publication Date: Sep 22, 2016
• Deposit Date: Aug 22, 2016
• Publicly Available Date: Aug 22, 2017
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 33
• Issue: 18
• Article Number: 185006
• DOI: https://doi.org/10.1088/0264-9381/33/18/185006
• Public URL: https://durham-repository.worktribe.com/output/1405916
• Related Public URLs: https://arxiv.org/abs/1603.04426