Minimal unitary representation of SO∗(8)=SO(6,2) and its SU(2) deformations as massless 6D conformal fields and their supersymmetric extensions [PDF]
We study the minimal unitary representation (minrep) of SO(6,2) over an Hilbert space of functions of five variables, obtained by quantizing its quasiconformal realization.
Murat Gunaydin
exaly +6 more sources
Null infinity and unitary representation of the Poincare group [PDF]
Following Pasterski-Shao-Strominger we construct a new basis of states in the single-particle Hilbert space of massless particles as a linear combination of standard Wigner states.
Shamik Banerjee
doaj +5 more sources
The Burau representation is unitary [PDF]
A slight modification of the Burau representation of the braid group is shown to be unitary relative to an explicitly defined Hermitian form. This gives a partial answer to the problem of identifying the image of the Burau representation and provides a tool for attacking the question of whether or not the Burau representation is faithful.
C. Squier
semanticscholar +3 more sources
On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group [PDF]
We consider a reducible unitary representation of Heisenberg-Weyl group in a tensor product of two Hilbert spaces. A non-commutative operator graph generated by this representation is introduced.
Grigori G. Amosov, A. S. Mokeev
semanticscholar +3 more sources
Minimal unitary representation of 5d superconformal algebra F(4) and AdS6/CFT5 higher spin (super)-algebras [PDF]
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 +2 more sources
We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ SO(1,4) in unitary irreducible representations.
Maja Burić +2 more
doaj +3 more sources
Visual, haptic and bimodal scene perception: evidence for a unitary representation. [PDF]
Intraub H, Morelli F, Gagnier KM.
europepmc +2 more sources
The behavior of livestock on farms is the primary representation of animal welfare, health conditions, and social interactions to determine whether they are healthy or not.
Yongfeng Li +7 more
doaj +2 more sources
Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations [PDF]
We investigate the equivalence of bipartite quantum mixed states under local unitary transformations by introducing representation classes from a geometrical approach.
Chen K. +6 more
core +2 more sources
Quantifying the Unitary Generation of Coherence from Thermal Quantum Systems
Coherence is associated with transient quantum states; in contrast, equilibrium thermal quantum systems have no coherence. We investigate the quantum control task of generating maximum coherence from an initial thermal state employing an external field ...
Shimshon Kallush +2 more
doaj +3 more sources

