Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
From MaRDI portal
Publication:1038674
DOI10.1016/0370-2693(86)90260-1zbMath1174.81319OpenAlexW2067069658MaRDI QIDQ1038674
Adrian Kent, Wayne Boucher, Daniel Harry Friedan
Publication date: 20 November 2009
Published in: Physics Letters. B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0370-2693(86)90260-1
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)
Related Items
HEISENBERG AND MODULAR INVARIANCE OF N=2 CONFORMAL FIELD THEORY, Super-GCA from \(\mathcal{N} = (2, 2)\) super-Virasoro, CONSTRUCTION FORMULAE FOR SINGULAR VECTORS OF THE TOPOLOGICAL AND OF THE RAMOND N = 2 SUPERCONFORMAL ALGEBRAS, Details of the non-unitary proof for highest weight representations of the Virasoro algebra, New identities between unitary minimal Virasoro characters, THE DEFINITION OF NEVEU–SCHWARZ SUPERCONFORMAL FIELDS AND UNCHARGED SUPERCONFORMAL TRANSFORMATIONS, Webs of \(\mathcal{W}\)-algebras, Higher spin currents in the enhanced \( \mathcal{N}=3 \) Kazama-Suzuki model, Extremal higher spin black holes, Unitarizable highest weight modules of the \(N = 2\) super Virasoro algebras: untwisted sectors, Bootstrapping SCFTs with four supercharges, Some chiral rings of \(N=2\) discrete superconformal series induced by \(\text{SL}(2)\) degenerate conformal field theories, Unitarity of rational \(N=2\) superconformal theories, Chiral determinant formulae and subsingular vectors for the \(N=2\) superconformal algebras, Conformal deformation by the currents of affine g, Positive definite superfunctions and unitary representations of Lie supergroups, A note on the \(\mathcal{N} = 2\) super-\( {\mathcal{W}}_3\) holographic dictionary, D-branes in \(\mathcal N=2\) Liouville theory and its mirror, The ground ring of \(N=2\) minimal string theory, Lie super-bialgebra structures on the Ramond \(N = 2\) super-Virasoro algebra, Families of singular and subsingular vectors of the topological \(N=2\) superconformal algebra, Analytic expression for singular vectors of the \(N=2\) superconformal algebra, Topological entanglement entropy from the holographic partition function, Infrared phases of \(2d\) QCD, Deforming symmetric product orbifolds: a tale of moduli and higher spin currents, Small Landau-Ginzburg theories, Recent advances and open questions on the susy structure of the chiral de Rham complex, Degenerate operators and the \(1/c\) expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks, The stranger things of symmetric product orbifold CFTs, \(\mathrm{dS}_2\) supergravity, Defining relations for minimal unitary quantum affine W-algebras, Modular bootstrap for boundary \(\mathcal N = 2\) Liouville theory, Charged structure constants from modularity, Universal RG flows across dimensions and holography, On the complete classification of unitary \(N = 2\) minimal superconformal field theories, Numerical study of the \( \mathcal{N}=2 \) Landau-Ginzburg model with two superfields, On classification of quasifinite representations of two classes of Lie superalgebras of block type, \(N = 2\) Liouville theory with boundary, A family of SCFTs hosting all ``very attractive relatives of the \((2)^{4}\) Gepner model, \(N=2\) supersymmetric \(W\)-algebras, \(N=2\) gauged WZW models and the elliptic genus, Fusion rules of chiral algebras, Lie algebra cohomology and \(N=2\) SCFT based on the GKO construction, The non-compact elliptic genus: mock or modular, Unitarizable highest weight modules over the twisted sector of the \(N=2\) super Virasoro algebra, Notes on superconformal representations in two dimensions, Modular constraints on superconformal field theories, Staggered modules of \(N = 2\) superconformal minimal models, THE N = 2 SUPERCONFORMAL ℤ3 ORBIFOLD-PRIME MODEL WITH c = 3, \((2,2)\) superconformal bootstrap in two dimensions, Chiral algebras in Landau-Ginzburg models, On the equivalence of affine \(\text{sl}(2)\) and \(N=2\) superconformal representation theories, Free field resolutions of unitary representations of the \(N=2\) Virasoro algebra. I, Special properties of five-dimensional BPS rotating black holes, EMBEDDING DIAGRAMS OF THE N=2 SUPERCONFORMAL ALGEBRA UNDER SPECTRAL FLOW, Comments on non-holomorphic modular forms and non-compact superconformal field theories, SUPERCONFORMAL ORBIFOLDS INVOLVING THE FERMION NUMBER OPERATOR, The boundary \(N=2\) supersymmetric sine-Gordon model, \(N=2\) superconformal nets, Topological defects and SUSY RG flow, Thermodynamics of superstring on near-extremal NS5 and effective Hagedorn behavior, LIOUVILLE FIELD THEORY: A DECADE AFTER THE REVOLUTION, Higher spin currents with arbitrary \(N\) in the \( \mathcal{N}= 1\) stringy coset minimal model, Constraints on 2d CFT partition functions, Little strings, long strings, and fuzzballs, Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras, New string theories and their generation number, Chiral primaries in strange metals, Lattices and strings, Unitary and non-unitary \(N=2\) minimal models, A supersymmetric enhancement of \( \mathcal{N} = 1 \)holographic minimal model, The isomorphism between two-dimensional conformal field theories with the affine-\(sl(2)\) and the \(N=2\) superconformal symmetry algebras, Tensor product decompositions and branching rules of the N=2 superconformal algebra, Characters of admissible representations of the affine superalgebra \(\widehat{\text{sl}}(2|1;{\mathbb{C}})_k\), Derivation algebra and automorphism group of generalized Ramond \(N = 2\) superconformal algebra, The embedding structure of unitary \(N=2\) minimal models, Resolutions and characters of irreducible representations of the \(N=2\) superconformal algebra, Transmutations between singular and subsingular vectors of the \(N=2\) superconformal algebras., Determinant formula for the topological \(N=2\) superconformal algebra., On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras, Fusion of Twisted Representations, Representations of infinite-dimensional algebras and conformal field theory: From \(N=2\) to \(\widehat{sl} (2|1)\), On the Correspondence Between Mirror-Twisted Sectors for N = 2 Supersymmetric Vertex Operator Superalgebras of the Form V ⊗ V and N = 1 Ramond Sectors of V, MOTIVIC L-FUNCTION IDENTITIES FROM CFT AND ARITHMETIC MIRROR SYMMETRY
