Results 111 to 120 of about 1,824,364 (240)

The Minimal Unitary Representation of E_8(8)

, 2002
We give a new construction of the minimal unitary representation of the exceptional group E_8(8) on a Hilbert space of complex functions in 29 variables.
Gunaydin, M., Koepsell, K., Nicolai, H.
core  

Positive definite superfunctions and unitary representations of Lie supergroups [PDF]

arXiv, 2012
For a broad class of Frechet-Lie supergroups we prove that there exists a correspondence between positive definite smooth superfunctions and matrix coefficients of unitary representations. We also give a characterization of linear functionals on the corresponding universal enveloping algebra which correspond to matrix coefficients of analytic unitary ...
arxiv  

Fermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models [PDF]

, 2008
P. Jacob, Pierre Mathieu
openalex   +1 more source

The complete unitary dual of non-compact Lie superalgebra su(p,q|m) via the generalised oscillator formalism, and non-compact Young diagrams [PDF]

arXiv, 2017
We study the unitary representations of the non-compact real forms of the complex Lie superalgebra sl(n|m). Among them, only the real form su(p,q|m) (p+q=n) admits nontrivial unitary representations, and all such representations are of the highest-weight type (or the lowest-weight type).
arxiv  

Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2 [PDF]

, 2008
Katsunori Kawamura
openalex   +1 more source

Minimal unitary representation of 5d superconformal algebra F(4) and AdS6/CFT5 higher spin (super)-algebras

Nuclear Physics B, 2015
We study the minimal unitary representation (minrep) of SO(5,2), obtained by quantization of its geometric quasiconformal action, its deformations and supersymmetric extensions.
Sudarshan Fernando, Murat Günaydin
doaj  

On $A$-parameters containing unitary lowest weight representations of $\mathrm{U}(p, q)$ [PDF]

arXiv
In this paper, we determine all the Arthur packets containing an irreducible unitary lowest weight representation $\pi$ of real unitary group $G = \mathrm{U}(p, q)$, including non-scalar cases. Our methods are the Barbasch-Vogan parametrization of representations of $G$ and Trapa's algorithm to calculate the cohomologically induced representations.
arxiv  

Quantum entanglement, unitary braid representation and Temperley-Lieb algebra [PDF]

, 2010
C.-L. Ho, A. I. Solomon, C. H. Oh
openalex   +1 more source

Minimal unitary representation of and its deformations as massless 6D conformal fields and their supersymmetric extensions [PDF]

, 2010
Sudarshan Fernando, Murat Günaydin
openalex   +1 more source

Unitary (semi)causal quantum-circuit representation of black hole evaporation

, 2023
Bogusław Broda
openalex   +2 more sources