Results 1 to 10 of about 15,759 (147)

Fractional supersymmetry and infinite dimensional lie algebras [PDF]

Nuclear Physics, Section B, Proceedings Supplements, 2001
In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation $\D$ of any Lie algebra $\g$.
Ahn, Akulov, Colatto, Coleman, de Azcárraga, Debergh, Durand, Durand, Fleury, Haag, Jackiw, Kac, Kac, Kerner, Kerner, M. Rausch de Traubenberg, Matheus-Valle, Matheus-Valle, Mohammedi, Perez, Plyushchay, Rausch de Traubenberg, Rausch de Traubenberg, Rausch de Traubenberg, Rausch de Traubenberg, Saidi, Saidi, Volkov, Volkov, Wills Toro   +29 more
exaly   +5 more sources

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

Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. [PDF]

Proc Natl Acad Sci U S A, 1988
Kac VG, Wakimoto M.
europepmc   +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, Patrick Concha, Evelyn Rodríguez, Patricio Salgado-Rebolledo   +3 more
doaj   +1 more source

Fractional Supersymmetry and Fth-Roots of Representations [PDF]

, 1999
A generalization of super-Lie algebras is presented. It is then shown that all known examples of fractional supersymmetry can be understood in this formulation.
Durand S., Fleury N., Fleury N., Fleury N., Leinaas J., M. J. Slupinski, M. Rausch de Traubenberg, Perez A., Rausch de Traubenberg M., Rausch de Traubenberg M., Revoy Ph., Revoy Ph., Revoy Ph., Roby N.   +13 more
core   +2 more sources

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

Indecomposable finite-dimensional representations of a class of Lie algebras and Lie superalgebras [PDF]

, 2011
In the article at hand, we sketch how, by utilizing nilpotency to its fullest extent (Engel, Super Engel) while using methods from the theory of universal enveloping algebras, a complete description of the indecomposable representations may be reached ...
G Cassinelli, H.P. Jakobsen, JE Humphreys, N Jacobson, S.M. Paneitz, SM Paneitz   +5 more
core   +1 more source

Extremal projectors for contragredient Lie (super)symmetries (short review)

, 2010
A brief review of the extremal projectors for contragredient Lie (super)symmetries (finite-dimensional simple Lie algebras, basic classical Lie superalgebras, infinite-dimensional affine Kac-Moody algebras and superalgebras, as well as their quantum $q ...
A. I. Molev, A. N. Leznov, D. P. Zhelobenko, D. P. Zhelobenko, D. P. Zhelobenko, D. T. Sviridov, F. A. Berezin, H. Yamane, H. Yamane, H.-D. Doebner, J. Shapiro, J.W. Leur van de, P.-O. Löwdin, R. M. Asherova, R. M. Asherova, R. M. Asherova, R. M. Asherova, R. M. Asherova, R. M. Asherova, R. M. Asherova, R. M. Asherova, S. M. Khoroshkin, S. M. Khoroshkin, S. M. Khoroshkin, S. M. Khoroshkin, S. M. Khoroshkin, S. M. Khoroshkin, T. D. Palev, T. Nakashima, V. G. Kac, V. G. Kac, V. G. Kac, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. N. Tolstoy, V. Tarasov, Yu. F. Smirnov, Yu. F. Smirnov, Yu. F. Smirnov, Yu. F. Smirnov, Yu. F. Smirnov, Z. Pluhar, Z. Pluhar   +52 more
core   +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

Superalgebras, constraints and partition functions [PDF]

, 2015
We consider Borcherds superalgebras obtained from semisimple finite-dimensional Lie algebras by adding an odd null root to the simple roots. The additional Serre relations can be expressed in a covariant way. The spectrum of generators at positive levels
Cederwall, Martin, Palmkvist, Jakob
core   +3 more sources