Infinite-dimensional lie super algebras

Results 1 to 10 of about 73 (69)

Non-integrable distributions with simple infinite-dimensional Lie (super)algebras of symmetries

, 2023
Under usual locality assumptions, we classify all non-integrable distributions with simple infinite-dimensional Lie superalgebra of symmetries over $\mathbb{C}$: we single out 15 series (containing 2 analogs of contact series and one family of deformations of their divergence-free subalgebras), and 7 exceptional Lie superalgebras.
Krutov, Andrey, Leites, Dimitry, Shchepochkina, Irina +2 more
openaire +2 more sources

Generalizing the $$\mathfrak {bms}_{3}$$ bms3 and 2D-conformal algebras by expanding the Virasoro algebra

European Physical Journal C: Particles and Fields, 2018
By means of the Lie algebra expansion method, the centrally extended conformal algebra in two dimensions and the $$\mathfrak {bms}_{3}$$ bms3 algebra are obtained from the Virasoro algebra.
Ricardo Caroca +3 more
doaj +1 more source

Reviving 3D N $$ \mathcal{N} $$ = 8 superconformal field theories

Journal of High Energy Physics, 2019
We present a Lagrangian formulation for N $$ \mathcal{N} $$ = 8 superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras.
Olaf Hohm, Henning Samtleben
doaj +1 more source

Can Yang-Baxter imply Lie algebra?

Physics Letters B
Quantum knot invariants (like colored HOMFLY-PT or Kauffman polynomials) are a distinguished class of non-perturbative topological invariants. Any known way to construct them (via Chern-Simons theory or quantum R-matrix) starts with a finite simple Lie ...
D. Khudoteplov, A. Morozov, A. Sleptsov
doaj +1 more source

Gradient structures from extensions of over-extended Kac-Moody algebras

Journal of High Energy Physics
Over-extended Kac-Moody algebras contain so-called gradient structures — a gl d $$ \mathfrak{gl}(d) $$ -covariant level decomposition of the algebra contains strings of modules at different levels that can be interpreted as spatial gradients.
Martin Cederwall, Jakob Palmkvist
doaj +1 more source

Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]

Commun Math Phys, 2023
Beem C, Nair S.
europepmc +1 more source

An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]

Sci Rep, 2021
Masi N.
europepmc +1 more source

Miura operators, degenerate fields and the M2-M5 intersection. [PDF]

J High Energy Phys, 2022
Gaiotto D, Rapčák M.
europepmc +1 more source

Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates. [PDF]

Commun Math Phys, 2023
Haferkamp J +5 more
europepmc +1 more source

Super Quantum Airy Structures. [PDF]

Commun Math Phys, 2020
Bouchard V +6 more
europepmc +1 more source