Results 1 to 10 of about 247 (140)

Representations of non-finitely graded Lie algebras related to Virasoro algebra

Forum Mathematicum
Abstract In this paper, we study representations of non-finitely graded Lie algebras 𝒲 ⁢ ( ϵ
Chunguang Xia, Tianyu Ma, Mingjing Zhang
exaly   +4 more sources

Structures of Not-finitely Graded Lie Algebras Related to Generalized Virasoro Algebras [PDF]

Communications in Algebra, 2015
17pages
Qiufan Chen, Yucai Su
exaly   +3 more sources

Structures of not-finitely graded Lie algebras related to generalized Heisenberg–Virasoro algebras [PDF]

Acta Mathematica Sinica, English Series, 2015
16 pages.
Fan, Guang Zhe, Zhou, Chen Hong, Yue, Xiao Qing   +2 more
exaly   +4 more sources

Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties [PDF]

Journal of Nonlinear Mathematical Physics, 2021
Motivated by the work of Kupershmidt (J. Nonlin. Math. Phys. 6 (1998), 222 --245) we discuss the occurrence of left symmetry in a generalized Virasoro algebra. The multiplication rule is defined, which is necessary and sufficient for this algebra to be quasi-associative.
Hounkonnou, Mahouton Norbert, Guha, Partha, Ratiu, Tudor   +2 more
openaire   +2 more sources

Lie Bialgebra Structures on the Lie Algebra L Related to the Virasoro Algebra

Symmetry, 2023
A Lie bialgebra is a vector space endowed simultaneously with the structure of a Lie algebra and the structure of a Lie coalgebra, and some compatibility condition. Moreover, Lie brackets have skew symmetry. Because of the close relation between Lie bialgebras and quantum groups, it is interesting to consider the Lie bialgebra structures on the Lie ...
Chen, Xue, Su, Yihong, Zheng, Jia
openaire   +1 more source

Fermionic CFTs and classifying algebras

Journal of High Energy Physics, 2020
We study fermionic conformal field theories on surfaces with spin structure in the presence of boundaries, defects, and interfaces. We obtain the relevant crossing relations, taking particular care with parity signs and signs arising from the change of ...
Ingo Runkel, Gérard M.T. Watts
doaj   +1 more source

N $$ \mathcal{N} $$ = 4 SYM, Argyres-Douglas theories, and an exact graded vector space isomorphism

Journal of High Energy Physics, 2022
In this first of two papers, we explain in detail the simplest example of a broader set of relations between apparently very different theories. Our example relates su 2 $$ \mathfrak{su}(2) $$ N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM) to a theory we
Matthew Buican, Takahiro Nishinaka
doaj   +1 more source

AGT basis in SCFT for c = 3/2 and Uglov polynomials

Nuclear Physics B, 2020
AGT allows one to compute conformal blocks of d = 2 CFT for a large class of chiral CFT algebras. This is related to the existence of a certain orthogonal basis in the module of the (extended) chiral algebra. The elements of the basis are eigenvectors of
Vladimir Belavin, Abay Zhakenov
doaj   +1 more source

Non-weight modules over algebras related to the Virasoro algebra [PDF]

Journal of Geometry and Physics, 2018
14 pages.
Chen, Qiu-Fan, Yao, Yu-Feng
openaire   +3 more sources

On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions

European Physical Journal C: Particles and Fields, 2020
In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method.
Ricardo Caroca, Patrick Concha, Octavio Fierro, Evelyn Rodríguez   +3 more
doaj   +1 more source