Integrable highest weight modules over affine superalgebras and Appell's function

From MaRDI portal
Publication:5940501

DOI10.1007/s002200000315zbMath0980.17002arXivmath-ph/0006007OpenAlexW3102244804MaRDI QIDQ5940501

Minoru Wakimoto, Victor G. Kac

Publication date: 9 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0006007



Related Items

Holomorphic integer graded vertex superalgebras, Indefinite theta series and generalized error functions, Affine Lie superalgebras, \({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1, On the Fourier coefficients of negative index meromorphic Jacobi forms, A 5d/2d/4d correspondence, Some characters of Kac and Wakimoto and nonholomorphic modular functions, Higher string functions, higher-level Appell functions, and the logarithmic \(\widehat{\mathrm{sl}}(2)_k/u(1)\) CFT model, Secord-order cusp forms and mixed mock modular forms, Twisted logarithmic modules of free field algebras, Integrable modules for affine Lie superalgebras, Identities for generalized Appell functions and the blow-up formula, On the semisimplicity of the category \(KL_k\) for affine Lie superalgebras, On the Fourier coefficients of meromorphic Jacobi forms, Negative index Jacobi forms and quantum modular forms, Representations of twisted affine Lie superalgebras--a recognition theorem, Quantum reduction and representation theory of superconformal algebras, An integrable \(U_q(\widehat{gl}(2|2))\)-model: corner transfer matrices and Young skew diagrams, A \(U_q(\widehat{gl}(2|2))_1\)-vertex model: creation algebras and quasi-particles. I, Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras, Irreducible characters of Kac-Moody Lie superalgebras, A family of representations of the affine Lie superalgebra \(\widehat{\mathfrak{gl}}_{m | n}(\mathbb{C})\), Sheets and associated varieties of affine vertex algebras, Representations of superconformal algebras and mock theta functions, Generalized Frobenius partitions, Motzkin paths, and Jacobi forms, W-algebras for Argyres-Douglas theories, Complete reducibility of integrable modules for the affine Lie (super)algebras, Recent advances and open questions on the susy structure of the chiral de Rham complex, Irreducible characters of general linear superalgebra and super duality, Integrable representations of affine \(A(m,n)\) and \(C(m)\) superalgebras, Rationality of affine vertex operator superalgebras with rational conformal weights, Regular Kac-Moody superalgebras and integrable highest weight modules, A characterization of modified mock theta functions, Finite-dimensional representations of map superalgebras, \( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters, Elliptic genera and characteristic \(q\)-series of superconformal field theory, Quantum reduction for affine superalgebras, Mock modular forms and \(d\)-distinct partitions, Bosonic–fermionic realizations of root spaces and bilinear forms for Lie superalgebras, On characters of L𝔰𝔩n(−Λ0)-modules, The false theta functions of Rodgers and their modularity, Integrable modules over affine Lie superalgebras \(\mathfrak{sl}(1|n)^{(1)}\), Matrix supergroup Chern-Simons models for vortex-antivortex systems, On the asymptotic behavior of Kac-Wakimoto characters, Lie Superalgebras Arising from Bosonic Representation, Representations of affine superalgebras and mock theta functions, Representations of centrally-extended Lie algebras over differential operators and vertex algebras, Highest weight modules for affine Lie superalgebras, Quasimodular forms and \(s\ell (m|m)^\wedge\) characters, The mock modular data of a family of superalgebras, FUSION RULES AND COMPLETE REDUCIBILITY OF CERTAIN MODULES FOR AFFINE LIE ALGEBRAS, Higher-level Appell functions, modular transformations, and characters, On infinite order simple current extensions of vertex operator algebras, Geometry of branes on supergroups, Conformal embeddings in affine vertex superalgebras, Rectangular W-algebras of types \(so (M)\) and \(sp (2M)\) and dual coset CFTs, Finite vs. infinite decompositions in conformal embeddings, On some vertex algebras related to \(V_{-1}(\mathfrak{sl}(n))\) and their characters, Quantum toroidal algebra associated with \(\mathfrak{gl}_{m|n}\), Dualities of corner configurations and supersymmetric indices, Kac-Wakimoto characters and universal mock theta functions, Orbifolds of symplectic fermion algebras, Harmonic Maaß–Jacobi forms of degree 1 with higher rank indices, Schur-Weyl duality for Heisenberg cosets, Module category and \(C_2\)-cofiniteness of affine vertex operator superalgebras, Kac-Wakimoto characters and non-holomorphic Jacobi forms, Properties of the Appell-Lerch function (I), Multivariable Appell functions and nonholomorphic Jacobi forms, Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions, Asymptotic formulas for coefficients of Kac–Wakimoto Characters, Representations of Toroidal General Linear Superalgebra, Asymptotics of generalized Galois numbers via affine Kac-Moody algebras, Corrigendum to: ``Sheets and associated varieties of affine vertex algebras, Trialities of orthosymplectic \(\mathcal{W} \)-algebras, Principally specialized characters of \(\widehat{\mathfrak{sl}}(m| 1)\)-modules, The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras, Bosonic vertex representations of the toroidal superalgebras in type D(m,n), Classification of Finite-Growth General Kac–Moody Superalgebras, Urod algebras and Translation of W-algebras, Universal central extensions of \(\mathfrak{sl}_{m|n}\) over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras, Characters of (relatively) integrable modules over affine Lie superalgebras, Vertex representations of toroidal special linear Lie superalgebras, Vertex operator superalgebras associated with affine Lie superalgebras