Results 91 to 100 of about 42,508 (228)
More on pure gravity with a negative cosmological constant
We identify an ambiguity in the Chern-Simons formulation of three-dimensional gravity with negative cosmological constant that originates in an outer automorphism of the Lie algebra sl $$ \mathfrak{sl} $$ (2, ℝ).
Lior Benizri, Jan Troost
doaj +1 more source
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
On irregular singularity wave functions and superconformal indices
We generalize, in a manifestly Weyl-invariant way, our previous expressions for irregular singularity wave functions in two-dimensional SU(2) q-deformed Yang-Mills theory to SU(N).
Matthew Buican, Takahiro Nishinaka
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Non-abelian infrared divergences on the celestial sphere
We consider the infrared factorisation of non-abelian multi-particle scattering amplitudes, and we study the form of the universal colour operator responsible for infrared divergences, when expressed in terms of coordinates on the ‘celestial sphere ...
Lorenzo Magnea
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Image space formalism of convolutional neural networks for k‐space interpolation
Abstract Purpose Noise resilience in image reconstructions by scan‐specific robust artificial neural networks for k‐space interpolation (RAKI) is linked to nonlinear activations in k‐space. To gain a deeper understanding of this relationship, an image space formalism of RAKI is introduced for analyzing noise propagation analytically, identifying and ...
P. Dawood +6 more
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Gause Symmetry and Howe Duality in 4D Conformal Field Theory Models
It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras.
I. Todorov
doaj
Deser and Waldron have shown that maximal depth partially massless theories of higher (integer) spin on four-dimensional de Sitter spacetime (dS 4) possess infinitesimal symmetries generated by the conformal Killing vectors of dS 4. However, it was later
Vasileios A. Letsios
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On the Locality of Formal Distributions Over Right-Symmetric and Novikov Algebras
The Dong Lemma in the theory of vertex algebras states that the locality property of formal distributions over a Lie algebra is preserved under the action of a vertex operator. A similar statement is known for associative algebras.
L. A. Bokut, P. S. Kolesnikov
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Dual spaces of geodesic currents
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source
N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets
N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α).
Anton Galajinsky, Sergey Krivonos
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