Results 11 to 20 of about 163,371 (273)
Unitarity at the late time boundary of de Sitter
Journal of High Energy Physics, 2020 The symmetry group of the de Sitter spacetime, accommodates fields of various masses and spin among its unitary irreducible representations. These unitary representations are labeled by the spin and the weight contribution to the scaling dimension and ...
Gizem Şengör, Constantinos Skordis
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Conformal wavefunctions for graviton amplitudes
Journal of High Energy Physics, 2022 The extended-BMS algebra of asymptotically flat spacetime contains an SO(3, 1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with gravitons.
Chang Liu, David A. Lowe
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The unitary representations of the Poincar\'e group in any spacetime dimension
SciPost Physics Lecture Notes, 2021 An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
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Topological Boundaries of Unitary Representations [PDF]
International Mathematics Research Notices, 2020 AbstractWe introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $\Gamma $ to the setting of a general unitary representation $\pi : \Gamma \to B(\mathcal H_\pi )$. This space, which we call the “Furstenberg–Hamana boundary” (or "FH-boundary") of the pair $(\Gamma , \pi )$, is a $\Gamma $-invariant subspace ...
Bearden, Alex, Kalantar, Mehrdad
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Universe, 2021 The present Special Issue is dedicated to celebrate 80 years of the Professor Eugene Paul Wigner paper “On Unitary Representations of the Inhomogeneous Lorentz Group”, published in 1939 [...]
Julio Marny Hoff da Silva
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Extended Poincar\'e supersymmetry in three dimensions and supersymmetric anyons [PDF]
, 2012 We classify the unitary representations of the extended Poincar\'e supergroups in three dimensions. Irreducible unitary representations of any spin can appear, which correspond to supersymmetric anyons.
A. Tureanu +6 more
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q-Deformed de Sitter/Conformal Field Theory Correspondence [PDF]
, 2004 Unitary principal series representations of the conformal group appear in the dS/CFT correspondence. These are infinite dimensional irreducible representations, without highest weights.
A. Jevicki +19 more
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Advances in Evolutionary Optimization of Quantum Operators
Mendel, 2021 A comparative study is presented regarding the evolutionary design of quantum operators in the form of unitary matrices.A comparative study is presented regarding the evolutionary design of quantum operators in the form of unitary matrices.
Petr Žufan, Michal Bidlo
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Canonical quantization of the covariant fields on de Sitter spacetimes
, 2022 The properties of the covariant quantum fields on de Sitter spacetimes are investigated focusing on the isometry generators and Casimir operators in order to establish the equivalence among the covariant representations and the unitary irreducible ones ...
Cotaescu, Ion I.
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Minimal unitary representations from supersymmetry [PDF]
, 2014 We compute the supersymmetry constraints on the R^4 type corrections in maximal supergravity in dimension 8, 6, 4 and 3, and determine the tensorial differential equations satisfied by the function of the scalar fields multiplying the R^4 term in the ...
Bossard, Guillaume, Verschinin, Valentin
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