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Holography on non-orientable surfaces.

Maloney, Alex and Ross, Simon F. (2016) 'Holography on non-orientable surfaces.', Classical and quantum gravity., 33 (18). p. 185006.


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.

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:07 July 2016
Date deposited:07 September 2016
Date of first online publication:22 August 2016
Date first made open access:22 August 2017

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