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Title: Solving the Yang-Baxter, tetrahedron and higher simplex equations using Clifford algebras

Journal Article · · Nuclear Physics. B

Not Available

Sponsoring Organization:
USDOE
OSTI ID:
2439336
Journal Information:
Nuclear Physics. B, Journal Name: Nuclear Physics. B Journal Issue: C Vol. 1007; ISSN 0550-3213
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English

References (32)

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The Yang-Baxter equation and invariants of links journal October 1988
Simplex equations and their solutions journal May 1991
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Tetrahedron equation and spin integrable models on a cubic lattice journal February 1997
Partition function of the Eight-Vertex lattice model journal March 1972
Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models journal August 1979
Integrability for multidimensional lattice models journal July 1989
The tetrahedron equation and the four-simplex equation journal January 1989
All solutions to the constant quantum Yang-Baxter equation in two dimensions journal May 1992
Free fermions on a three-dimensional lattice and tetrahedron equations journal April 1984
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models journal October 2015
The eight tetrahedron equations journal July 1997
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Labelling schemes for tetrahedron equations and dualities between them journal September 1994
Permutation-type solutions to the Yang - Baxter and othern-simplex equations journal July 1997
Zamolodchikov's tetrahedron equation and hidden structure of quantum groups journal March 2006
An integrable 3D lattice model with positive Boltzmann weights journal November 2013
Tetrahedron equation and generalized quantum groups journal July 2015
Local invariants of braiding quantum gates—associated link polynomials and entangling power journal March 2021
Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction journal December 1967
Combinatorial Yang–Baxter maps arising from the tetrahedron equation journal October 2016
On Formulations and Solutions of Simplex Equations journal September 1996
Braiding quantum gates from partition algebras journal August 2020

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