Exceptional Lie algebras at the very foundations of space and time
From MaRDI portal
Publication:506511
DOI10.1134/S2070046616010052zbMath1357.81160arXiv1506.08576OpenAlexW2962965627MaRDI QIDQ506511
Publication date: 1 February 2017
Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.08576
Unified quantum theories (81V22) Black holes (83C57) Exceptional (super)algebras (17B25) Applications of Lie (super)algebras to physics, etc. (17B81) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Structure theory for Jordan algebras (17C10)
Related Items (3)
Gradings on the real form e6,−14 ⋮ The magic star of exceptional periodicity ⋮ Jordan algebraic interpretation of maximal parabolic subalgebras: exceptional Lie algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Super Yang-Mills, division algebras and triality
- Freudenthal gauge theory
- The footprint of \(E_{7(7)}\) in amplitudes of \(\mathcal N= 8\) supergravity
- Brane orbits
- On the moduli space of non-BPS attractors for \(\mathcal N=2\) symmetric manifolds
- Explicit action of \(E_{7(7)}\) on \(\mathcal N=8\) supergravity fields plasma from boost invariant expansion
- The Jordan pair content of the magic square and the geometry of the scalars in \(N=2\) supergravity
- p-adic space-time and string theory
- Quantum theory and geometry: Sixty years after Neumann
- Exceptional confinement in G(2) gauge theory
- A taste of Jordan algebras
- Unity of superstring dualities.
- Jordan pairs and Hopf algebras
- Exceptional Lie algebras, \(su(3)\), and Jordan pairs
- There is no ``Theory of everything inside \(\text E_{8}\)
- Creation of matter in the universe and groups of type \(\operatorname{E7}\)
- Sextonions, Zorn matrices, and \(\mathbf e_{7\frac12}\)
- Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren
- Note on the \(p\)-adic generalization of Lorentz transformations
- Quantum fields and motives
- Unification of gravity, gauge fields and Higgs bosons
- MAXIMAL SUPERSYMMETRY AND EXCEPTIONAL GROUPS
- The holographic principle
- Observations on integral and continuous U -duality orbits in \mathcal {N}=8 supergravity
- Generalized vector products, duality, and octonionic identities in D=8 geometry
- Three graded exceptional algebras and symmetric spaces
- The octic E8 invariant
- Hopf algebras for physics at the Planck scale
- Jordan algebras and their applications
- An ℰ6⊗𝒰(1) invariant quantum mechanics for a Jordan pair
- ORBITS OF EXCEPTIONAL GROUPS, DUALITY AND BPS STATES IN STRING THEORY
- Random matrix theory, the exceptional Lie groups andL-functions
- The octonions
- The black-hole/qubit correspondence: an up-to-date review
- The exceptional Lie algebraE7(−25): multiplets and invariant differential operators
- GAUGE BOSON FAMILIES IN GRAND UNIFIED THEORIES OF FERMION MASSES: $E_6^4 \rtimes S_4$
- STRUCTURE THEORY FOR A CLASS OF JORDAN ALGEBRAS
- Quantum Gravity
- Exceptional Lie algebras, SU(3) and Jordan pairs: part 2. Zorn-type representations
- Groups of type E7.
- Imbedding of Jordan Algebras into Lie Algebras. I
- Inner derivations of non-associative algebras
- Yang-Mills integrals for orthogonal, symplectic and exceptional groups
This page was built for publication: Exceptional Lie algebras at the very foundations of space and time