Caracciolo, S;
Sokal, AD;
Sportiello, A;
(2017)
Spanning forests and OSP(N|2M) -invariant σ-models.
Journal of Physics A: Mathematical and Theoretical
, 50
(11)
10.1088/1751-8121/aa59bc.
Preview |
Text
forests_ON_v3gA.pdf - Accepted Version Download (599kB) | Preview |
Abstract
The present paper is part of our ongoing work on OSP(N|2M) supersymmetric σ-models, their relation with the Potts model at q = 0 and spanning forests, and the rigorous analytic continuation of the partition function as an entire function of N - 2M, a feature first predicted by Parisi and Sourlas in the 1970s. Here we accomplish two main steps. First, we analyze in detail the role of the Ising variables that arise when the constraint in the OSP(1|2) model is solved, and we point out two situations in which the Ising and forest variables decouple. Second, we establish the analytic continuation for the OSP(N|2M) model in some special cases: when the underlying graph is a forest, and for the Nienhuis action on a cubic graph. We also make progress in understanding the series-parallel graphs.
| Type: | Article |
|---|---|
| Title: | Spanning forests and OSP(N|2M) -invariant σ-models |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1751-8121/aa59bc |
| Publisher version: | http://dx.doi.org/10.1088/1751-8121/aa59bc |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10025167 |
Archive Staff Only
 |
View Item |
