Conference item
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
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 73.4KB, Terms of use)
-
- Publisher copy:
- 10.1007/978-3-319-20046-0_47
Authors
+ Science and Technology Facilities Council
More from this funder
- Funding agency for:
- Niedner, B
- Grant:
- ST/J500641/1
+ German National Academic Foundation
More from this funder
- Funding agency for:
- Niedner, B
- Grant:
- ST/J500641/1
- Publisher:
- Springer Verlag
- Host title:
- 1st Karl Schwarzschild Meeting on Gravitational Physics
- Journal:
- Springer Proceedings in Physics More from this journal
- Volume:
- 170
- Pages:
- 387-393
- Publication date:
- 2015-10-29
- DOI:
- EISSN:
-
1867-4941
- ISSN:
-
0930-8989
- ISBN:
- 9783319200453
- Pubs id:
-
pubs:608745
- UUID:
-
uuid:4638bc0c-bc77-48c6-b18b-14164eb4576c
- Local pid:
-
pubs:608745
- Source identifiers:
-
608745
- Deposit date:
-
2016-03-08
Terms of use
- Copyright holder:
- Springer
- Copyright date:
- 2015
- Notes:
- © Springer International Publishing Switzerland 2016. Volume 170 of the series "Springer Proceedings in Physics". This is the accepted manuscript version of the article. The final version is available online from Springer at: [10.1007/978-3-319-20046-0_47]
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