Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines)
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Publication:6309668
DOI10.1016/J.NUCLPHYSB.2022.115830zbMATH Open1521.17046arXiv1811.05526MaRDI QIDQ6309668
Publication date: 7 November 2018
Abstract: In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model. We also extrapolate the ideas for the cyclic 3-leg triangular ladder model. All of these propose a way for generalization, which leads to representations of N = 2, ... algebras. Keywords: 2D lattice, square ladder, triangular ladder, conformal algebra, semi-infinite forms, fermions, quadratic algebra, superfrustration, graded Euler characteristic, cohomology, deformation, Jacobi triple product, superalgebras, operator algebras, N = 2, ... algebras.
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65)
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