Braiding operator via quantum cluster algebra

DOI10.1088/1751-8113/47/47/474006zbMath1368.81098arXiv1404.2009OpenAlexW2963806336MaRDI QIDQ2936561

Rei Inoue, Kazuhiro Hikami

Publication date: 17 December 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2009

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15) Cluster algebras (13F60)

Related Items (7)

Check-operators and quantum spectral curves ⋮ Cluster realization of \(\mathcal{U}_q(\mathfrak{g})\) and factorizations of the universal \(R\)-matrix ⋮ The universal quantum invariant and colored ideal triangulations ⋮ A cluster realization of \(U_q(\mathfrak {sl}_{\mathfrak {n}})\) from quantum character varieties ⋮ On Bailey pairs for \(\mathcal{N} = 2\) supersymmetric gauge theories on \(S_b^3/\mathbb{Z}_r\) ⋮ Braids, complex volume and cluster algebras ⋮ Cluster algebras and Jones polynomials

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