期刊
CLASSICAL AND QUANTUM GRAVITY
卷 33, 期 18, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/33/18/185006
关键词
AdS/CFT; non-orientable; Klein bottle; handlebodies
类别
资金
- STFC [ST/L000407/1]
- National Science and Engineering Council of Canada
- Simons Foundation
- STFC [ST/L000407/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000407/1] Funding Source: researchfish
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.
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