Nekrasov and Argyres–Douglas theories in spherical Hecke algebra representation
Nuclear Physics B, 2017 AGT conjecture connects Nekrasov instanton partition function of 4D quiver gauge theory with 2D Liouville conformal blocks. We re-investigate this connection using the central extension of spherical Hecke algebra in q-coordinate representation, q being ...
Chaiho Rim, Hong Zhang
doaj +4 more sources
Discrete Spherical Image Representation for CNN-Based Inclination Estimation
IEEE Access, 2020 How an image is represented as the input of a convolutional neural network (CNN) is important because this input directly influences the performance of the CNN.
Yuhao Shan, Shigang Li
doaj +3 more sources
Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m [PDF]
Advances in High Energy Physics, 2016 The azimuthal and magnetic quantum numbers of spherical harmonics Ylm(θ,ϕ) describe quantization corresponding to the magnitude and z-component of angular momentum operator in the framework of realization of su(2) Lie algebra symmetry.
H. Fakhri
doaj +4 more sources
Spherical subcategories in representation theory [PDF]
Mathematische Zeitschrift, 2018 We introduce a new invariant for triangulated categories: the poset of spherical subcategories ordered by inclusion. This yields several numerical invariants, like the cardinality and the height of the poset.
Hochenegger, Andreas +2 more
core +5 more sources
The Spherical Harmonic Representation of the Geoid
GeomaticsGlobal Gravitational Models (GGMs) describe the Earth’s external gravitational field by a set of spherical harmonic (Stokes) coefficients. These coefficients are routinely used to compute the geoid model, while disregarding the upper continental crustal (
Robert Tenzer +3 more
doaj +2 more sources
Direct Systems of Spherical Functions and Representations
Journal of Lie Theory, 2012 Spherical representations and functions are the building blocks for harmonic analysis on riemannian symmetric spaces. In this paper we consider spherical functions and spherical representations related to certain infinite dimensional symmetric spaces $G_\
Dawson, Matthew +2 more
core +3 more sources
Laser Transverse Modes with Ray-Wave Duality: A Review
Applied Sciences, 2021 We present a systematic overview on laser transverse modes with ray-wave duality. We start from the spectrum of eigenfrequencies in ideal spherical cavities to display the critical role of degeneracy for unifying the Hermite–Gaussian eigenmodes and ...
Yung-Fu Chen +3 more
doaj +1 more source
Constraining GRACE-derived cryosphere-attributed signal to irregularly shaped ice-covered areas [PDF]
The Cryosphere, 2013 We use a Monte Carlo approach to invert a spherical harmonic representation of cryosphere-attributed mass change in order to infer the most likely underlying mass changes within irregularly shaped ice-covered areas at nominal 26 km resolution.
W. Colgan +3 more
doaj +1 more source
Spheroidal ambisonics: Spatial audio in spheroidal bases [PDF]
JASA Express Letters, 2021 Ambisonics is an established framework to capture and reproduce spatial sound fields based on the spherical harmonics representation [Gerzon (1973). J. Audio Eng. Soc. 21(1), 2–10].
Shoken Kaneko, Ramani Duraiswami
doaj +1 more source
Spherical harmonics coefficients for ligand-based virtual screening of cyclooxygenase inhibitors. [PDF]
PLoS ONE, 2011 Molecular descriptors are essential for many applications in computational chemistry, such as ligand-based similarity searching. Spherical harmonics have previously been suggested as comprehensive descriptors of molecular structure and properties.
Quan Wang +7 more
doaj +1 more source