Macdonald index and chiral algebra
From MaRDI portal
Publication:1700113
DOI10.1007/JHEP08(2017)044zbMath1381.81123arXiv1612.08956MaRDI QIDQ1700113
Publication date: 2 March 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.08956
conformal field theorysupersymmetric gauge theorychiral algebraconformal and W symmetryextended supersymmetrySchur indexMacdonald index
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60)
Related Items (23)
Webs of \(\mathcal{W}\)-algebras ⋮ Four-dimensional lens space index from two-dimensional chiral algebra ⋮ On the nilpotent orbits arising from admissible affine vertex algebras ⋮ Testing Macdonald index as a refined character of chiral algebra ⋮ On the correspondence between surface operators in Argyres-Douglas theories and modules of chiral algebra ⋮ OPE selection rules for Schur multiplets in 4D $\mathcal{N}=2 $ superconformal field theories ⋮ A study of \(\mathcal{N} = 1\) SCFT derived from \(\mathcal{N} = 2\) SCFT: index and chiral ring ⋮ Vanishing short multiplets in rank one 4d/5d SCFTs ⋮ \( \mathcal{N} =1\) Lagrangians for generalized Argyres-Douglas theories ⋮ Line defect Schur indices, Verlinde algebras and \(\mathrm{U}(1)_{r}\) fixed points ⋮ Vertex operator algebras of Argyres-Douglas theories from M5-branes ⋮ Long multiplet bootstrap ⋮ Chiral algebra, localization, modularity, surface defects, and all that ⋮ Surface defects and chiral algebras ⋮ From VOAs to short star products in SCFT ⋮ The chiral algebra of genus two class \(\mathcal{S}\) theory ⋮ Vertex operator algebras, Higgs branches, and modular differential equations ⋮ Vanishing OPE coefficients in 4d \( \mathcal{N}=2 \) SCFTs ⋮ Schur correlation functions on \(S^3 \times S^1\) ⋮ VOAs and rank-two instanton SCFTs ⋮ Superconformal surfaces in four dimensions ⋮ Deformation quantizations from vertex operator algebras ⋮ A slow review of the AGT correspondence
Cites Work
- Central charges and RG flow of strongly-coupled \( \mathcal{N}=2 \) theory
- Twistorial topological strings and a \({tt}^*\) geometry for \(\mathcal{N} = 2\) theories in \(4d\)
- Bootstrapping \( \mathcal{N}=3 \) superconformal theories
- Surface defects and chiral algebras
- General Argyres-Douglas theory
- Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories
- \(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study
- New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory
- On principal admissible representations and conformal field theory
- On 4d rank-one \( \mathcal{N}=3 \) superconformal field theories
- Infrared computations of defect Schur indices
- \( \mathcal{N} =1\) deformations and RG flows of \( \mathcal{N} =2\) SCFTs. II: Non-principal deformations
- Bootstrapping \( \mathcal{N}=2 \) chiral correlators
- Schur indices, BPS particles, and Argyres-Douglas theories
- Stress-tensor OPE in \( \mathcal{N}=2 \) superconformal theories
- Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
- The \( \mathcal{N}=2 \) superconformal bootstrap
- \( \mathcal{N}=2 \) central charge bounds from \(2d\) chiral algebras
- \( \mathcal{N}=1 \) deformations and RG flows of \(\mathcal{N}=2 \) SCFTs
- Superconformal index, BPS monodromy and chiral algebras
- Introduction to \(W\)-algebras and their representation theory
- Surface defect indices and 2d-4d BPS states
- Vertex operator algebras of Argyres-Douglas theories from M5-branes
- Chiral algebras for trinion theories
- Supersymmetric localization in \(\mathrm{AdS}_{5}\) and the protected chiral algebra
- Vertex operator algebras, Higgs branches, and modular differential equations
- Fusion and singular vectors in \(A_ 1^{(1)}\) highest weight cyclic modules
- Singular vectors in Verma modules over Kac-Moody algebras
- New \(N = 2\) superconformal field theories in four dimensions
- Gauge theories and Macdonald polynomials
- Infinite chiral symmetry in four dimensions
- An index for 4 dimensional super conformal theories
- Quasi-lisse vertex algebras and modular linear differential equations
- Modular data and Verlinde formulae for fractional level WZW models. II
- Abelianizing vertex algebras
- \(\mathcal{W}\) symmetry in six dimensions
- Chiral algebras of class \( \mathcal{S} \)
- On the superconformal index of Argyres–Douglas theories
- Conformal manifolds in four dimensions and chiral algebras
- Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
- The PBW filtration
- Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
- An A₂ Bailey lemma and Rogers-Ramanujan-type identities
- Modular invariance of characters of vertex operator algebras
- Fusion rules and logarithmic representations of a WZW model at fractional level
This page was built for publication: Macdonald index and chiral algebra
