The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams

DOI10.1007/s00220-019-03406-7zbMath1464.17013arXiv1712.01811OpenAlexW2927790287MaRDI QIDQ2414716

Dmytro Volin, Murat Gunaydin

Publication date: 17 May 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01811

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (9)

Completeness of Wronskian Bethe equations for rational \(\mathfrak{gl}_{\mathsf{m}|\mathsf{n}}\) spin chains ⋮ Separation of variables for rational \(\mathfrak{gl}(\mathsf{n})\) spin chains in any compact representation, via fusion, embedding morphism and Bäcklund flow ⋮ The fate of the Konishi multiplet in the \(\beta\)-deformed quantum spectral curve ⋮ A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators ⋮ Unitary Harish-Chandra representations of real supergroups ⋮ Graßmannian integrals in Minkowski signature, amplitudes, and integrability ⋮ Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame ⋮ Oscillator approach to quantization of \(AdS_5 \times S^5\) superparticle in twistor formulation ⋮ Supersymmetry constraints on U-duality invariant deformations of \(\mathcal{N} \geq 5\) supergravity

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