A generalization of the Virasoro algebra to arbitrary dimensions
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Publication:659302
DOI10.1016/j.nuclphysb.2011.07.009zbMath1229.81129arXiv1105.6072OpenAlexW2024804741MaRDI QIDQ659302
Publication date: 18 January 2012
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.6072
Model quantum field theories (81T10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Critical phenomena in equilibrium statistical mechanics (82B27)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonperturbative solution of \(D=1\) string theory
- Bubble divergences: sorting out topology from cell structure
- Colored group field theory
- The \(1/N\) expansion of colored tensor models
- Topological graph polynomials in colored group field theory
- Critical behavior of colored tensor models in the large \(N\) limit
- Bubble divergences from twisted cohomology
- Counting colored random triangulations
- Bubble divergences from cellular cohomology
- Radiative corrections in the Boulatov-Ooguri tensor model: the 2-point function
- Coloring random triangulations
- Planar diagrams
- Rectangular matrix models and combinatorics of colored graphs
- The complete \(1/N\) expansion of colored tensor models in arbitrary dimension
- Group field theory: an overview
- TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
- THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
- LOOP EQUATIONS IN MATRIX MODELS AND IN 2D QUANTUM GRAVITY
- A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
- TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
- Tensor models and 3-ary algebras
- TENSOR MODELS AND HIERARCHY OF n-ARY ALGEBRAS
- Lost in translation: topological singularities in group field theory
- A deformed Poincaré invariance for group field theories
- Quantum Geometry
- Scaling behavior of three-dimensional group field theory
- Emergent matter from 3D generalized group field theories
- Linearized group field theory and power-counting theorems
- Generalization of the Bollobás-Riordan polynomial for tensor graphs
- 3D spinfoam quantum gravity: matter as a phase of the group field theory
- Tensor models and simplicial quantum gravity in \(>2\)-D
- Dynamically triangulating Lorentzian quantum gravity
- Analytical and numerical study of a model of dynamically triangulated random surfaces
- A matrix model for the two-dimensional black hole
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