Details
| Original language | English |
|---|---|
| Article number | 115799 |
| Journal | Nuclear Physics B |
| Volume | 980 |
| Early online date | 26 Apr 2022 |
| Publication status | Published - Jul 2022 |
Abstract
Keywords
- hep-th, cond-mat.stat-mech
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 980, 115799, 07.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - \(OSp(n|2m)\) quantum chains with free boundaries
AU - Frahm, Holger
AU - Martins, Márcio J.
N1 - Funding Information: Partial support for the work of HF is provided by the Deutsche Forschungsgemeinschaft under grant No. Fr 737/9-2 within the research unit Correlations in Integrable Quantum Many-Body Systems (FOR2316). The work of MJM was supported in part by the Brazilian Research Council CNPq through the grants 304758/2017-7 .
PY - 2022/7
Y1 - 2022/7
N2 - In this paper we investigate the spectrum of \(OSp(n|2m)\) quantum spin chains with free boundary conditions. We compute the surface free energy of these models which, similar to other properties in the thermodynamic limit including the effective central charge of the underlying conformal field theory, depends on \(n-2m\) only. For several models in the regime \(n-2m< 2\) we have studied the finite-size properties including the subleading logarithmic corrections to scaling. As in the case of periodic boundary conditions we find the existence of a tower of states with the same conformal dimension as the identity operator. As expected the amplitudes of the corresponding logarithmic corrections differ from those found previously for the models with periodic boundary conditions. We point out however the existence of simple relations connecting such amplitudes for free and periodic boundaries. Based on our findings we formulate a conjecture on the long distance behaviour of the bulk and surface watermelon correlators.
AB - In this paper we investigate the spectrum of \(OSp(n|2m)\) quantum spin chains with free boundary conditions. We compute the surface free energy of these models which, similar to other properties in the thermodynamic limit including the effective central charge of the underlying conformal field theory, depends on \(n-2m\) only. For several models in the regime \(n-2m< 2\) we have studied the finite-size properties including the subleading logarithmic corrections to scaling. As in the case of periodic boundary conditions we find the existence of a tower of states with the same conformal dimension as the identity operator. As expected the amplitudes of the corresponding logarithmic corrections differ from those found previously for the models with periodic boundary conditions. We point out however the existence of simple relations connecting such amplitudes for free and periodic boundaries. Based on our findings we formulate a conjecture on the long distance behaviour of the bulk and surface watermelon correlators.
KW - hep-th
KW - cond-mat.stat-mech
UR - http://www.scopus.com/inward/record.url?scp=85129395646&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2022.115799
DO - 10.1016/j.nuclphysb.2022.115799
M3 - Article
VL - 980
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
M1 - 115799
ER -