Abstract
The partition function of a planar Ising model on a finite lattice with magnetic fields on the boundaries is represented through the anticommuting functional integral with Gaussian distribution. In particular, the previously unknown solution for the case of fields of opposite direction is obtained. It is shown also that the partition function of the model at the critical point in the continuous limit can be expressed through certain characters of highest-weight irreducible representations of Virasoro algebra. 15 refs.
Citation Formats
Bugrij, A I, and Shadura, V N.
The partition function of 2d-ising model with the magnetic fields on boundaries and C=1/2 virasoro characters.
Ukraine: N. p.,
1989.
Web.
Bugrij, A I, & Shadura, V N.
The partition function of 2d-ising model with the magnetic fields on boundaries and C=1/2 virasoro characters.
Ukraine.
Bugrij, A I, and Shadura, V N.
1989.
"The partition function of 2d-ising model with the magnetic fields on boundaries and C=1/2 virasoro characters."
Ukraine.
@misc{etde_10139910,
title = {The partition function of 2d-ising model with the magnetic fields on boundaries and C=1/2 virasoro characters}
author = {Bugrij, A I, and Shadura, V N}
abstractNote = {The partition function of a planar Ising model on a finite lattice with magnetic fields on the boundaries is represented through the anticommuting functional integral with Gaussian distribution. In particular, the previously unknown solution for the case of fields of opposite direction is obtained. It is shown also that the partition function of the model at the critical point in the continuous limit can be expressed through certain characters of highest-weight irreducible representations of Virasoro algebra. 15 refs.}
place = {Ukraine}
year = {1989}
month = {Dec}
}
title = {The partition function of 2d-ising model with the magnetic fields on boundaries and C=1/2 virasoro characters}
author = {Bugrij, A I, and Shadura, V N}
abstractNote = {The partition function of a planar Ising model on a finite lattice with magnetic fields on the boundaries is represented through the anticommuting functional integral with Gaussian distribution. In particular, the previously unknown solution for the case of fields of opposite direction is obtained. It is shown also that the partition function of the model at the critical point in the continuous limit can be expressed through certain characters of highest-weight irreducible representations of Virasoro algebra. 15 refs.}
place = {Ukraine}
year = {1989}
month = {Dec}
}