Yangians and Yang–Baxter R-operators for ortho-symplectic superalgebras by J. Fuksa, A.P. Isaev, D. Karakhanyan, R. Kirschner

“…Yang–Baxter relations symmetric with respect to the ortho-symplectic superalgebras are studied. We start with the formulation of graded algebras and the linear superspace carrying the vector (fundamental) representation of the ortho-symplectic supergroup. …”
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Extensions, crossed modules and pseudo quadratic Lie type superalgebras by M. Pouye, B. Kpamegan

Subjects: “…Lie type superalgebras…”
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The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector by Drazen Adamovic, Antun Milas

Subjects: “…vertex operator superalgebras…”
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Lie n superderivations and generalized Lie n superderivations of superalgebras by Yuan He, Chen Liangyun

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The (2, 0) superalgebra, null M-branes and Hitchin’s system by P. Kucharski, N. Lambert, M. Owen

“…Abstract We present an interacting system of equations with sixteen supersymmetries and an SO(2) × SO(6) R-symmetry where the fields depend on two space and one null dimensions that is derived from a representation of the six-dimensional (2, 0) superalgebra. The system can be viewed as two M5-branes compactified on S − 1 × T 2 $$ {S}_{-}^1\times {\mathbb{T}}^2 $$ or equivalently as M2-branes on ℝ + × ℝ 2 $$ {\mathbb{R}}_{+}\times {\mathbb{R}}^2 $$ , where ± refer to null directions. …”
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S-Embedding of Lie Superalgebras and Its Implications for Fuzzy Lie Algebras by Abdullah Assiry, Sabeur Mansour, Amir Baklouti

Subjects: “…Lie superalgebra…”
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Characters of (relatively) integrable modules over affine Lie superalgebras by Gorelik, Maria, Kac, Victor

“…In the paper we consider the problem of computation of characters of relatively integrable irreducible highest weight modules L over finite-dimensional basic Lie superalgebras and over affine Lie superalgebras g. The problem consists of two parts. …”
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ON CLASSIFICATION OF YANGIAN IRREDUCIBLE REPRESENTATIONS OF LIE SUPERALGEBRA SL (1, 2) by Vladimir A. Stukopin

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On the huge lie superalgebra of pseudo superdifferential operators and super KP-hierarchies / by 333490 Sedra, M. B.

ON CLASSIFICATION OF YANGIAN IRREDUCIBLE REPRESENTATIONS OF LIE SUPERALGEBRA SL (1, 2) by Vladimir A. Stukopin

“…The classification of Yangian irreducible finite-dimensional representations of Lie superalgebra sl(1,2) – Hopf superalgebra is obtained. …”
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Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs by Chih-Whi Chen, Shun-Jen Cheng

“…We show that, for an arbitrary finite-dimensional quasi-reductive Lie superalgebra over ${\mathbb {C}}$ with a triangular decomposition and a character $\zeta $ of the nilpotent radical, the associated Backelin functor $\Gamma _\zeta $ sends Verma modules to standard Whittaker modules provided the latter exist. …”
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Spinorial Snyder and Yang models from superalgebras and noncommutative quantum superspaces by Jerzy Lukierski, Mariusz Woronowicz

“…We extend such algebraic construction to the respective superalgebras, which provide quantum Lorentz-covariant superspaces (SUSY Snyder model) and indicate also how to obtain the quantum relativistic phase superspaces (SUSY Yang model). …”
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Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions by Patrick Concha, Remigiusz Durka, Evelyn Rodríguez

“…We point out particular requirements that superalgebras have to satisfy to be successfully incorporated within valid supergravity actions. …”
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BKM Lie superalgebras from counting twisted CHL dyons – II by Suresh Govindarajan, Sutapa Samanta

“…We argue for the existence of a new kind of BKM Lie superalgebras that arise from the dyon generating functions for the Z5 and Z6 CHL orbifolds.…”
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$$D=4$$ D=4 supergravity from the Maxwell-Weyl superalgebra by Salih Kibaroğlu, Oktay Cebecioğlu

“…Abstract We present the construction of the first-order $$D=4$$ D=4 , $${\mathcal {N}}=1$$ N=1 supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale invariance of the action is achieved through the introduction of a compensating scalar field. …”
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Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras by Valiollah Khalili

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Modular Invariance for Twisted Modules over a Vertex Operator Superalgebra by van Ekeren, Jethro William

“…The purpose of this paper is to generalize Zhu’s theorem about characters of modules over a vertex operator algebra graded by integer conformal weights, to the setting of a vertex operator superalgebra graded by rational conformal weights. To recover SL[subscript 2](Z)-invariance of the characters it turns out to be necessary to consider twisted modules alongside ordinary ones. …”
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A Note on Finite Dimensional Odd Contact Lie Superalgebra in Prime Characteristic by Xiaoning Xu, Qiyuan Wang

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N $$ \mathcal{N} $$ = 1, 2, 3 ℓ-conformal Galilei superalgebras by Anton Galajinsky, Ivan Masterov

“…Drawing a parallel between acceleration generators entering the superalgebra and irreducible supermultiplets of d = 1, N $$ \mathcal{N} $$ -extended superconformal group, a new N $$ \mathcal{N} $$ = 1 ℓ-conformal Galilei superalgebra, two new N $$ \mathcal{N} $$ = 2 variants, and two new N $$ \mathcal{N} $$ = 3 versions are built. …”
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Irreducible modules over finite simple Lie conformal superalgebras of type K by Boyallian, Carina, Liberati, José I., Kac, Victor

“…We construct all finite irreducible modules over Lie conformal superalgebras of type K.…”
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