Second-Order Conformally Equivariant Quantization in Dimension 1|2 by Najla Mellouli

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Chirality, a new key for the definition of the connection and curvature of a Lie-Kac superalgebra by Jean Thierry-Mieg

“…Hence the curvature F = DD is a superalgebra-valued linear map which respects the Bianchi identity and correctly defines a chiral parallel transport compatible with a generic Lie superalgebra structure.…”
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Yangian of the Strange Lie Superalgebra of $Q_{n-1}$ Type, Drinfel'd Approach by Vladimir Stukopin

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Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras by Zheng Keli, Zhang Yongzheng

Subjects: “…modular lie superalgebra…”
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sl(2)ˆ Decomposition of denominator formulae of some BKM Lie superalgebras - II by Suresh Govindarajan, Mohammad Shabbir

“…The square-root of Siegel modular forms of CHL ZN orbifolds of type II compactifications are denominator formulae for some Borcherds-Kac-Moody Lie superalgebras for N=1,2,3,4. We study the decomposition of these Siegel modular forms in terms of characters of two sub-algebras: one is a sl(2)ˆ and the second is a Borcherds extension of the sl(2)ˆ. …”
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Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs by Gorelik, Maria, Möseneder Frajria, Pierluigi, Papi, Paolo, Kac, Victor

“…Along the way we give an explicit description of the real forms of basic classical type Lie superalgebras.…”
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Classification of Finite Irreducible Modules over the Lie Conformal Superalgebra CK[subscript 6] by Boyallian, Carina, Liberati, José I., Kac, Victor

“…We classify all continuous degenerate irreducible modules over the exceptional linearly compact Lie superalgebra E(1, 6), and all finite degenerate irreducible modules over the exceptional Lie conformal superalgebra CK[subscript 6], for which E(1, 6) is the annihilation superalgebra.…”
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Universal Central Extension of the Tensor Algebra of a Lie Superalgebra and a Commutative Associative Algebra by Malihe Yousofzadeh

Subjects: “…current superalgebra…”
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Space, Matter and Interactions in a Quantum Early Universe. Part II: Superalgebras and Vertex Algebras by Piero Truini, Alessio Marrani, Michael Rios, Klee Irwin

“…We turn <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="fraktur">g</mi><mi mathvariant="sans-serif">u</mi></msub></semantics></math></inline-formula> into a Lie superalgebra <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="fraktur">sg</mi><mi mathvariant="sans-serif">u</mi></msub></semantics></math></inline-formula> with no superpartners, in order to comply with the Pauli exclusion principle. …”
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Hidden role of Maxwell superalgebras in the free differential algebras of D = 4 and D = 11 supergravity by Lucrezia Ravera

“…Abstract The purpose of this paper is to show that the so-called Maxwell superalgebra in four dimensions, which naturally involves the presence of a nilpotent fermionic generator, can be interpreted as a hidden superalgebra underlying $$\mathcal {N}=1, {\hbox {D}}=4$$ N=1,D=4 supergravity extended to include a 2-form gauge potential associated to a 2-index antisymmetric tensor. …”
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Correlator correspondences for subregular W $$ \mathcal{W} $$ -algebras and principal W $$ \mathcal{W} $$ -superalgebras by Thomas Creutzig, Yasuaki Hikida, Devon Stockal

“…The generalization should be important since a principal W $$ \mathcal{W} $$ -superalgebra appears as its symmetry and the properties of the superalgebra are less understood than bosonic counterparts.…”
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The Quantum Superalgebra osp[subscript q] (1|2) and a q-Generalization of the Bannai–Ito Polynomials by Vinet, Luc, Zhedanov, Alexei, Genest, Vincent

“…The Racah problem for the quantum superalgebra osp[subscript q] (1|2) is considered. The intermediate Casimir operators are shown to realize a q-deformation of the Bannai–Ito algebra. …”
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Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral SU(2/1) model of leptons and quarks by Jean Thierry-Mieg

“…Abstract At the classical level, the SU(2/1) superalgebra offers a natural description of the elementary particles: leptons and quarks massless states, graded by their chirality, fit the smallest irreducible representations of SU(2/1). …”
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New Constructions of Exceptional Simple Lie Superalgebras with Integer Cartan Matrix in Characteristics 3 and 5 via Tensor Categories by Kannan, Arun S.

“…Abstract Using tensor categories, we present new constructions of several of the exceptional simple Lie superalgebras with integer Cartan matrix in characteristic p = 3 and p = 5 from the complete classification of modular Lie superalgebras with indecomposable Cartan matrix and their simple subquotients over algebraically closed fields by Bouarroudj, Grozman, and Leites in 2009. …”
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Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matrix by Gilles Regniers, Joris Van der Jeugt

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New solutions of the Yang-Baxter equation based on root of 1 representations of the para-bose superalgebra Uq[osp(1/2)] / by 320307 Palev, T. D., Stoilova, N. I.

Vanishing Property of BRST Cohomology for Modified Highest Weight Modules by Namhee Kwon

Subjects: “…Lie superalgebras…”
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Supersymmetric Version of the Euler System and Its Invariant Solutions by A. Michel Grundland, Alexander J. Hariton

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A multi-component super integrable Dirac hierarchy by Haifeng Wang, Yufeng Zhang, Chuanzhong Li

Subjects: “…Lie superalgebra…”
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Construction of matryoshka nested indecomposable N-replications of Kac-modules of quasi-reductive Lie superalgebras, including the sl(m/n) and osp(2/2n) series by Jean Thierry-Mieg, Peter D. Jarvis, Jerome Germoni, Maria Gorelik

“…We construct a new class of finite dimensional indecomposable representations of simple superalgebras which may explain, in a natural way, the existence of the heavier elementary particles. …”
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