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The MacMahon R-matrix
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DOI：10.1007/JHEP04(2019)097.png)
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Abstract
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We introduce an R-matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra Uq,<^> This R-matrix acts on pairs of 3d Young diagrams and retains the nice symmetry of the DIM algebra under the permutation of three deformation parameters q, t(-1) and . We construct the intertwining operator for a tensor product of the horizontal Fock representation and the vertical MacMahon representation and show that the intertwiners are permuted using the MacMahon R-matrix.
Keywords:
Conformal and W Symmetry
Quantum Groups
Topological Strings
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