In recent work, several classes of solitonic solutions of string theory with highermembrane structure have been obtained. These solutions can be classified according to the symmetry possessed by the solitons in the subspace of the spacetime transverse to the membrane. Solitons with four-dimensional spherical symmetry represent instanton solutions in string theory, while those with three-dimensi...

In [14], Maire developed a class of cell-centered Lagrangian schemes for solving Euler equations of compressible gas dynamics in cylindrical coordinates. These schemes use a node-based discretization of the numerical fluxes. The control volume version has several distinguished properties, including the conservation of mass, momentum and total energy and compatibility with the geometric conserva...

The symmetry preserving singular value decomposition (SPSVD) produces the best symmetric (low rank) approximation to a set of data. These symmetric approximations are characterized via an invariance under the action of a symmetry group on the set of data. The symmetry groups of interest consist of all the non-spherical symmetry groups in three dimensions. This set includes the rotational, refle...

Author(s) of this paper may load this reprint on their own web site provided that this cover page is retained. Republication of this article or its storage in electronic databases or the like is not permitted without prior permission in writing from the IUCr. A numerically efficient method of constructing symmetric real spherical harmonics is presented. Symmetric spherical harmonics are real sp...

Abstract. The symmetry preserving singular value decomposition (SPSVD) produces the best symmetric (low rank) approximation to a set of data. These symmetric approximations are characterized via an invariance under the action of a symmetry group on the set of data. The symmetry groups of interest consist of all the non-spherical symmetry groups in three dimensions. This set includes the rotatio...

The maximally complicated arbitrary-dimensional “maximal” Galileon field equations simplify dramatically for symmetric configurations. Thus, spherical symmetry reduces the equations from the D− to the two-dimensional Monge-Ampere equation, axial symmetry to its cubic extension etc. We can then obtain explicit solutions, such as spherical or axial waves, and relate them to the (known) general, b...

We introduce a method, dubbed the flux-fusion anomaly test, to detect certain anomalous symmetry fractionalization patterns in two-dimensional symmetry enriched topological (SET) phases. We focus on bosonic systems with Z2 topological order, and symmetry group of the form G = U(1)oG′, where G′ is an arbitrary group that may include spatial symmetries and/or time reversal. The anomalous fraction...

Consider an asymptotically free gauge theory with global symmetry group G. At short distances this gauge theory allows a perturbative definition. One fundamental question at long distances relates to how the symmetry group G is realized in the vacuum. Virtually no progress has been made in answering this question from first principles in QCD, the gauge theory responsible for all hadronic and nu...

G R O U P theory tells us the conditions under which an energy level is invariant under changes of the co-ordinate system (rotations, etc.) which do not change the physical properties of the electron system considered. Thus, the (2L + l)-fold degeneracy of multiplet terms and (21 + l)-fold degeneracy of orbitals is closely connected with the assumption of spherical symmetry, surrounding a gaseo...