Galilean contractions of \(W\)-algebras
From MaRDI portal
Publication:2412787
DOI10.1016/j.nuclphysb.2017.07.006zbMath1373.81338arXiv1701.04437OpenAlexW2576041443MaRDI QIDQ2412787
Publication date: 27 October 2017
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.04437
Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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) Infinite-dimensional Lie (super)algebras (17B65) Canonical models for contractions and nonselfadjoint linear operators (47A45)
Related Items
Multi-graded Galilean conformal algebras, Asymmetric Galilean conformal algebras, Invariant functions and contractions of certain types of Lie algebras of lower dimensions, Free field realization of the BMS Ising model, Self-dual and logarithmic representations of the twisted Heisenberg–Virasoro algebra at level zero, Galilean W3 algebra, Higher-order Galilean contractions, CFT correlators, \(\mathcal{W}\)-algebras and generalized Catalan numbers
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unitarity in three-dimensional flat space higher spin theories
- Duality in \( \mathcal{N}=2 \) minimal model holography
- Supersymmetric extension of GCA in 2d
- Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
- Nonlinear W\({}_{\infty}\) as asymptotic symmetry of three-dimensional higher spin AdS gravity
- Asymptotic \( \mathcal{W} \)-symmetries in three-dimensional higher-spin gauge theories
- Conformal field theory
- \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
- \( \mathcal{N}=1 \) extension of minimal model holography
- Asymptotic symmetry groups and operator algebras
- Asymptotically flat spacetimes in three-dimensional higher spin gravity
- A mathematical introduction to conformal field theory. Based on a series of lectures given at the Mathematisches Institut der Universität Hamburg
- Finite vs affine \(W\)-algebras
- Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
- Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
- Conformal supergravity, twistors, and the super-BMS group
- Infinite conformal symmetry in two-dimensional quantum field theory
- A one-parameter family of Hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear \(W_{\text{KP}}\) algebra
- Symmetric invariant bilinear forms on vertex operator algebras
- Nonlinear equations for symmetric massless higher spin fields in (A)dS\(_d\)
- Introduction to vertex operator algebras and their representations
- Free field realizations of affine current superalgebras, screening currents and primary fields
- Comments on \(N=4\) superconformal algebras
- Tensionless superstrings: view from the worldsheet
- On the null origin of the ambitwistor string
- Extended supersymmetric \(BMS_{3}\) algebras and their free field realisations
- Super-\(BMS_{3}\) algebras from \( \mathcal{N}=2 \) flat supergravities
- Free-field realisations of the \(BMS_{3}\) algebra and its extensions
- Super-\(BMS_{3}\) invariant boundary theory from three-dimensional flat supergravity
- Three-dimensional spin-3 theories based on general kinematical algebras
- Introduction to \(W\)-algebras and their representation theory
- Notes on the BMS group in three dimensions. II: Coadjoint representation
- AdS dual of the critical \(O(N)\) vector model
- The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
- \(W\)-algebras with set of primary fields of dimensions \((3,4,5)\) and \((3,4,5,6)\).
- GCA in 2d
- Super-GCA from \(\mathcal{N} = (2, 2)\) super-Virasoro
- Aspects of the BMS/CFT correspondence
- On free field realizations of \(W(2,2)\)-modules
- A class of operator algebras which are determined by groups
- A NEW N=4 SUPERCONFORMAL ALGEBRA
- CLASSICAL AND QUANTUM N=1 SUPER W∞-ALGEBRAS
- W∞ GRAVITY AND SUPER-W∞ GRAVITY
- N=2 SUPERCONFORMAL MODELS AS TOPOLOGICAL FIELD THEORIES
- BMS modules in three dimensions
- Conformal Carroll groups
- Nilpotent orbits and finite W-algebras
- Contraction of Lie Groups
- Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
- Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
- Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
- Vertex algebras, Kac-Moody algebras, and the Monster
- A MATHEMATICA™ PACKAGE FOR COMPUTING OPERATOR PRODUCT EXPANSIONS
- A non-reductiveN= 4 superconformal algebra
- Takiff superalgebras and conformal field theory
- Conformal Carroll groups and BMS symmetry
- Super-Galilean conformal algebra in AdS/CFT
- Affine extension of Galilean conformal algebra in 2+1 dimensions
- On the Contraction of Groups and Their Representations
- Constructing classical and quantum superconformal algebras on the boundary of \(\text{AdS}_3\)
- Symplectic fermions
- A representation of a higher spin \(N=2\) conformal algebra
