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Holography on non-orientable surfaces

Maloney, Alex; Ross, Simon F.

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Alex Maloney


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.


Maloney, A., & Ross, S. F. (2016). Holography on non-orientable surfaces. Classical and Quantum Gravity, 33(18), Article 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
Related Public URLs


Accepted Journal Article (287 Kb)

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

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