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Boundary states of the potts model on random planar maps

Abstract:
We revisit the 3-states Potts model on random planar triangulations as a Hermitian matrix model. As a novelty, we obtain an algebraic curve which encodes the partition function on the disc with both fixed and mixed spin boundary conditions. We investigate the critical behaviour of this model and find scaling exponents consistent with previous literature. We argue that the conformal field theory that describes the double scaling limit is Liouville quantum gravity coupled to the (A4, D4) minimal model with extended W3-symmetry.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-20046-0_47

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author
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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author
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Funding agency for:
Niedner, B
Grant:
ST/J500641/1
More from this funder
Funding agency for:
Niedner, B
Grant:
ST/J500641/1
Publisher:
Springer Verlag Publisher's website
Journal:
Springer Proceedings in Physics Journal website
Volume:
170
Pages:
387-393
Host title:
1st Karl Schwarzschild Meeting on Gravitational Physics
Publication date:
2015-10-29
DOI:
EISSN:
1867-4941
ISSN:
0930-8989
Source identifiers:
608745
ISBN:
9783319200453
Pubs id:
pubs:608745
UUID:
uuid:4638bc0c-bc77-48c6-b18b-14164eb4576c
Local pid:
pubs:608745
Deposit date:
2016-03-08

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