Dictionary on Lie Superalgebras
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The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet has two ambitious goals: to be elementary and easy to use. The beginner is supposed to find out here the main concepts on superalgebras, while a more experimented theorist should recognize the necessary tools and informations for a specific use.
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Cited by 4 Pith papers
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On the triviality of inhomogeneous deformations of $\mathfrak{osp}(1|2n)$
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Deconfined quantum criticality with internal supersymmetry
Proposes sDQCP between OSp(1|2)-breaking and lattice-rotation-breaking phases via supersphere NLSM and gauge theory with heuristic 3D XY behavior.
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On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors
Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.
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The double dihedral Dunkl total angular momentum algebra
For the double dihedral reflection group, the Dunkl TAMA admits a triangular subalgebra yielding necessary weight conditions for finite-dimensional irreps and explicit weight bases in unitary cases.
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