An infinite-rank Lie algebra associated to \(\mathrm{SL}(2, \mathbb{R})\) and \(\mathrm{SL}(2, \mathbb{R})/U(1)\)
From MaRDI portal
Publication:6597597
DOI10.1063/5.0223755zbMATH Open1545.17009MaRDI QIDQ6597597
Otto Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg, Alessio Marrani
Publication date: 3 September 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Supergravity (83E50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Cites Work
- Supersymmetric black holes in \(AdS_{4}\) from very special geometry
- \(d\)-geometries revisited
- Split attractor flow in \({\mathcal N}=2\) minimally coupled supergravity
- Superconformal inflationary \(\alpha\)-attractors
- Special geometry
- Toroidal Lie algebras and vertex representations
- Symplectic embeddings and special Kähler geometry of \(\mathbb{C} P (n-1,1)\)
- \(N=2\) supergravity and \(N=2\) super Yang-Mills theory on general scalar manifolds: symplectic covariance, gaugings and the momentum map
- Die Vollständigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe.
- Unity of superstring dualities.
- \(D=10\), \(N=\) IIB supergravity: Lorentz-invariant actions and duality
- Duality invariance in Fayet-Iliopoulos gauged supergravity
- Classification and construction of quasisimple Lie algebras
- Symmetry structure of special geometries
- Generalized two-field \(\alpha\)-attractor models from geometrically finite hyperbolic surfaces
- An overview of generalised Kac-Moody algebras on compact real manifolds
- Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
- A general study of the Wigner coefficients of \(\mathrm{SU}(1,1)\)
- Simple graded Lie algebras of finite growth
- Supersymmetric black holes and attractors in gauged supergravity with hypermultiplets
- Irreducible unitary representations of the Lorentz group
- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory
- Non-supersymmetric black holes and topological strings
- Lectures on attractors and black holes
- KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
- GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES
- 4d/5d correspondence for the black hole potential and its critical points
- Duality symmetries and G +++ theories
- Lie algebras associated with generalized Cartan matrices
- Plancherel Formula for the 2 × 2 Real Unimodular Group
- The symplectic structure of \(N=2\) supergravity and its central extension
- On the asymptotics of matrix coefficients of representations of SL(2,R)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An infinite-rank Lie algebra associated to \(\mathrm{SL}(2, \mathbb{R})\) and \(\mathrm{SL}(2, \mathbb{R})/U(1)\)