W-algebras for Argyres-Douglas theories
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Publication:1682784
DOI10.1007/s40879-017-0156-2zbMath1422.17026arXiv1701.05926OpenAlexW2582538701MaRDI QIDQ1682784
Publication date: 5 December 2017
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05926
Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\)
- Negative index Jacobi forms and quantum modular forms
- Coset constructions of logarithmic \((1, p)\) models
- A remark on boundary level admissible representations
- Extension of the category \({\mathcal O}^ g\) and a vanishing theorem for the Ext functor for Kac-Moody algebras
- Quantum reduction and representation theory of superconformal algebras
- \(\hat{\mathfrak sl}(2)_{-1/2}\) and the triplet model
- Surface defects and chiral algebras
- Finite vs. infinite decompositions in conformal embeddings
- \(W_n^{(n)}\) algebras
- On simplicity of vacuum modules
- \(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study
- Structure of representations with highest weight of infinite-dimensional Lie algebras
- New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory
- Infrared computations of defect Schur indices
- Schur indices, BPS particles, and Argyres-Douglas theories
- Introduction to \(W\)-algebras and their representation theory
- Argyres-Douglas theories, chiral algebras and wild Hitchin characters
- Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras
- A construction of admissible \(A_1^{(1)}\)-modules of level \(-\frac{4}{3}\)
- Vertex operator algebras, Higgs branches, and modular differential equations
- Modular data and Verlinde formulae for fractional level WZW models I
- Cosets of affine vertex algebras inside larger structures
- Infinite chiral symmetry in four dimensions
- False theta functions and the Verlinde formula
- Schur-Weyl duality for Heisenberg cosets
- Higher rank partial and false theta functions and representation theory
- Explicit generators in rectangular affine \(\mathcal {W}\)-algebras of type \(A\)
- Screening operators for \(\mathcal {W}\)-algebras
- Representation theory of \(\mathcal{W}\)-algebras
- Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions
- Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras
- Relating the archetypes of logarithmic conformal field theory
- Modular data and Verlinde formulae for fractional level WZW models. II
- On the triplet vertex algebra \(\mathcal W(p)\)
- Chiral algebras of class \( \mathcal{S} \)
- Families of $${\mathcal N}=2$$ Field Theories
- The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra
- On the superconformal index of Argyres–Douglas theories
- On W-Algebras Associated to (2, p) Minimal Models and Their Representations
- Conformal Embeddings and Simple Current Extensions
- Logarithmic intertwining operators and W(2,2p−1) algebras
- Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
- Logarithmic conformal field theory, log-modular tensor categories and modular forms
- Simple current extensions beyond semi-simplicity
- C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations
- The mock modular data of a family of superalgebras
- ADE SUBALGEBRAS OF THE TRIPLET VERTEX ALGEBRA $\mathcal{W}(p)$: A-SERIES
- Integrable highest weight modules over affine superalgebras and Appell's function