Superalgebras, symplectic bosons and the Sugawara construction

DOI10.1007/BF01225374zbMath0635.17007OpenAlexW2019646317MaRDI QIDQ1097341

G. Waterson, David I. Olive, Peter Goddard

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01225374

zbMATH Keywords

Virasoro algebrasymplectic representationsSugawara constructionboson fieldsaffine superalgebrasorthosymplectic representationssuper-symmetric space theoremsuperalgebra theoremsymmetric space theorem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Infinite-dimensional Lie (super)algebras (17B65) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items

Multilocal bosonization, Irrational conformal field theory, Tensionless string spectra on \(\mathrm{AdS}_{3}\), Vertex operator representations of basic affine superalgebras, Conformal deformation by the currents of affine g, Vertex operator construction of nonassociative algebras and their affinizations, Structure of basic Lie superalgebras and of their affine extensions, Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain, Relating \(c<0\) and \(c>0\) conformal field theories, Vertex operator algebras and topologically twisted Chern-Simons-matter theories, The worldsheet dual of the symmetric product CFT, Finite-dimensional representations of map superalgebras, Ghost D-branes, Induced and effective gravity theories in \(D=2\)., Infinite chiral symmetry in four dimensions, Unitary Sugawara constructions for affine superalgebras, Affine superalgebras, unitary representations and the Sugawara construction, Higher genus correlators for tensionless \(\mathrm{AdS}_3\) strings, Integrable quantum field theories with OSP\((m/2n)\) symmetries, Summing over geometries in string theory, Quantum Hamiltonian reduction in superspace formalism, Intersecting Loop Model as a Solvable Super Spin Chain, The \(\overline{\text{su}}(2)_{-1/2}\) WZW model and the \(\beta\gamma\) system

Cites Work

• Unnamed Item
• Classification of real simple Lie superalgebras and symmetric superspaces
• Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions.
• Classical affine algebras
• Kac-Moody algebras, conformal symmetry and critical exponents
• Basic representations of affine Lie algebras and dual resonance models
• Lie superalgebras