Results 11 to 20 of about 381 (158)
Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses.
Sofiane Bouarroudj +2 more
doaj +6 more sources
Defining Relations for Lie Superalgebras with Cartan Matrix [PDF]
Czechoslovak Journal of Physics, 2001 We completely describe presentations of Lie superalgebras with Cartan matrix if they are simple Z-graded of polynomial growth. Such matrices can be neither integer nor symmetrizable. There are non-Serre relations encountered. In certain cases there are infinitely many relations.
Grozman, Pavel, Leites, Dimitry
openaire +3 more sources
On the Cartan decomposition for classical random matrix ensembles
Journal of Mathematical Physics, 2022 We complete Dyson’s dream by cementing the links between symmetric spaces and classical random matrix ensembles. Previous work has focused on a one-to-one correspondence between symmetric spaces and many but not all of the classical random matrix ensembles. This work shows that we can completely capture all of the classical random matrix ensembles from
Alan Edelman, Sungwoo Jeong
openaire +2 more sources
T-duality in nonrelativistic open string theory
Journal of High Energy Physics, 2021 Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory [1].
Jaume Gomis, Ziqi Yan, Matthew Yu
doaj +1 more source
Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
doaj +1 more source
Nonrelativistic string theory and T-duality
Journal of High Energy Physics, 2018 Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string
Eric Bergshoeff, Jaume Gomis, Ziqi Yan
doaj +1 more source
The planar limit of N $$ \mathcal{N} $$ = 2 superconformal quiver theories
Journal of High Energy Physics, 2020 We compute the planar limit of both the free energy and the expectation value of the 1/2 BPS wilson loop for four dimensional N $$ \mathcal{N} $$ = 2 superconformal quiver theories, with a product of SU(N)s as gauge group and hi-fundamental matter ...
Bartomeu Fiol +2 more
doaj +1 more source
Topological quantum computation using analog gravitational holonomy and time dilation
SciPost Physics Core, 2023 Non-universal topological quantum computation models, such as the Majorana fermion-based Ising anyon model, have to be supplemented with an additional non-topological noisy gate in order to achieve universality.
Emil Génetay Johansen, Tapio Simula
doaj +1 more source
Weighted composition operators on Bers-type spaces of the first Cartan-Hartogs domains
四川大学学报. 自然科学版, 2022 In this paper, by using the generalized Hua"s matrix inequality, the boundedness and compactness of a weighted composition operators on Bers-type space of the first Cartan-Hartogs domain are characterized.
BAI Hong-Bin
doaj
The spectrum properties of an integrable G2 invariant vertex model
Nuclear Physics B, 2023 This paper is concerned with the study of properties of the exact solution of the fundamental integrable G2 vertex model. The model R-matrix and respective spin chain are presented in terms of the basis generators of the G2 Lie algebra.
M.J. Martins
doaj +1 more source