Multiplet classification of the indecomposable highest weight modules over the Neveu-Schwarz and Ramond superalgebras

DOI10.1007/BF00400220zbMath0601.17002WikidataQ56228507 ScholiaQ56228507MaRDI QIDQ1080932

Vladimir K. Dobrev

Publication date: 1986

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

zbMATH Keywords

highest weight modulesVerma modulesmultipletsNeveu-Schwarz superalgebraRamond superalgebracomplex Lie superalgebrapartially equivalent

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (6)

Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras ⋮ Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras ⋮ Singular vectors of quantum group representations for straight Lie algebra roots ⋮ Characters, supercharacters and Weber modular functions ⋮ A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras ⋮ Fusion rings for degenerate minimal models.

Cites Work

• Infinite conformal symmetry in two-dimensional quantum field theory
• Elementary representations and intertwining operators for SU(2, 2). I

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