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Mathematical Physics

Title: Solutions of the $U_q(\widehat{\mathfrak{sl}}_N)$ reflection equations

Abstract: We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type ${\mathrm A}^{(1)}_{N-1}$. We also show that all invertible solutions can be obtained by an appropriate affinization procedure from solutions of the constant untwisted and twisted reflection equations.
Comments: 36 pages
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:1803.06491 [math-ph]
  (or arXiv:1803.06491v1 [math-ph] for this version)

Submission history

From: Vidas Regelskis [view email]
[v1] Sat, 17 Mar 2018 11:17:52 GMT (37kb)