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Permutation orbifolds and holography

Haehl, Felix; Rangamani, Mukund

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Felix Haehl

Mukund Rangamani


Two dimensional conformal field theories with large central charge and a sparse low-lying spectrum are expected to admit a classical string holographic dual. We construct a large class of such theories employing permutation orbifold technology. In particular, we describe the group theoretic constraints on permutation groups to ensure a (stringy) holographic CFT. The primary result we uncover is that in order for the degeneracy of states to be finite in the large central charge limit, the groups of interest are the so-called oligomorphic permutation groups. Further requiring that the low-lying spectrum be sparse enough puts a bound on the number of orbits of these groups (on finite element subsets). Along the way we also study familiar cyclic and symmetric orbifolds to build intuition. We also demonstrate how holographic spectral properties are tied to the geometry of covering spaces for permutation orbifolds.


Haehl, F., & Rangamani, M. (2015). Permutation orbifolds and holography. Journal of High Energy Physics, 2015(3), Article 163.

Journal Article Type Article
Acceptance Date Mar 9, 2015
Online Publication Date Mar 30, 2015
Publication Date Mar 30, 2015
Deposit Date Mar 9, 2015
Publicly Available Date Apr 20, 2015
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 3
Article Number 163
Keywords AdS-CFT correspondence, Conformal field models in String theory.
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Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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