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arXiv · 1811.05526

Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines)

Valerii Sopin
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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.

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BibTeXRIS

Valerii Sopin. 2018-11-07. Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines). https://doi.org/10.1016/j.nuclphysb.2022.115830

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