Superconformal current algebras and their unitary representations

DOI10.1007/BF01229384zbMath0599.17011OpenAlexW2080937675MaRDI QIDQ1080511

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01229384

zbMATH Keywords

unitary representations affine Kac-Moody Lie algebra Ramond superalgebra supersymmetric extension super Virasoro extension superconformal algebra of Neveu-Schwarz unitary heighest weight

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Constructive quantum field theory (81T08) Superalgebras (17A70)

Related Items

Higher spin currents in Wolf space for generic \(N\), Projective families of Dirac operators on a Banach Lie groupoid, Representations of central extensions of differentiably simple Lie superalgebras, Sugawara-type constructions of the Virasoro algebra based on the twisted affine Kac–Moody superalgebras, Three point functions in the large \( \mathcal{N}=4 \) holography, Nonassociative superconformal algebras, On the semigroup nature of superconformal symmetry, Construction of \(N=2\) superconformal algebra from affine algebras with extended symmetry. I, Modular and conformal invariance constraints in representation theory of affine algebras, Local systems of vertex operators, vertex superalgebras and modules, Positive definite superfunctions and unitary representations of Lie supergroups, \(N=2\) structures on solvable Lie algebras: The \(c=9\) classification, \(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group, On mirror symmetry in Wess-Zumino-Novikov-Witten models, Superconformal algebras and Clifford algebras, Dirac induction for loop groups, Recent advances and open questions on the susy structure of the chiral de Rham complex, Unnamed Item, Defining relations for minimal unitary quantum affine W-algebras, Loop groups and noncommutative geometry, The Neveu-Schwarz and Ramond algebras of logarithmic superconformal field theory, Super loop groups, Hamiltonian actions and super Virasoro algebras, New generalized simple Lie algebras of Cartan type over a field with characteristic 0, Supersymmetric vertex algebras, Dirac operators on quadratic Lie superalgebras, Super-KMS functionals for graded-local conformal nets, MODELING M-THEORY VACUA VIA GAUGED S-DUALITY, Realization of the space of conformal blocks in Lie algebra modules, Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting, On the unitary structures of vertex operator superalgebras, Fractional loop group and twisted \(K\)-theory, Generalized Calabi-Yau manifolds and the chiral de Rham complex, Twisted \(K\) theory invariants, POINT-SPLITTING REGULARIZATION IN (SUPER)CONFORMAL FIELD THEORY, POINT-SPLITTING REGULARIZATION IN N=2 SUPERCONFORMAL FIELD THEORY, Finite vs affine \(W\)-algebras, Kazama-Suzuki coset construction and its inverse, An application of Lie superalgebras to affine Lie algebras, Extended super-Kac-Moody algebras and their super-derivation algebras, Affine Kac-Moody algebras and semi-infinite flag manifolds, Quasiprimary composite fields and operator product expansions in two- dimensional conformal models, Supersymmetric Cosets from Gauged SWZW Models, Quadratic conformal superalgebras, Multiplets of representations and Kostant's Dirac operator for equal rank loop groups, Structure of some \(\mathbb Z\)-graded Lie superalgebras of vector fields, Universal central extensions of \(\mathfrak{sl}_{m|n}\) over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras, Unitary representations of the Virasoro and super-Virasoro algebras

Cites Work