Search results for "Homogeneous space"
showing 10 items of 142 documents
Mirror quintics, discrete symmetries and Shioda maps
2008
In a recent paper, Doran, Greene and Judes considered one parameter families of quintic threefolds with finite symmetry groups. A surprising result was that each of these six families has the same Picard Fuchs equation associated to the holomorphic 3-form. In this paper we give an easy argument, involving the family of Mirror Quintics, which implies this result. Using a construction due to Shioda, we also relate certain quotients of these one parameter families to the family of Mirror Quintics. Our constructions generalize to degree n Calabi Yau varieties in (n-1)-dimensional projective space.
Discrete Symmetries CP, T, CPT
2016
The role of Symmetry Breaking mechanisms to search for New Physics is of highest importance. We discuss the status and prospects of the Discrete Symmetries CP, T, CPT looking for their separate Violation in LHC experiments and meson factories.
Generalized Camassa-Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions
2021
In this paper, we consider a member of an integrable family of generalized Camassa–Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals. We derive nonclassical symmetries and we find new symmetries via the nonclassical method, which cannot be obtained by Lie symmetry method. We employ the multiplier method to construct conservation laws for this family of GCH equations. Using the conservation laws of the underlying equation, double reduction is also constructed. Finally, we investigate traveling waves of the GCH equations. We derive convergent series solutions both for the homoclinic and heteroclinic orbits of the…
Accounting Symmetries on Indonesian Entities by Applying the Edgeworth's Box
2020
Decisions making of entities in an economy are materialized into transactions to transform economic goods into monetary goods, maintaining a continued management of the corporate activity. The transformation of economic goods into monetary ones is a <<mutatis mutandis>> effect in which entities of the economic and financial market interfere with different impact in their respective financial statements. In accordance to the economic situation of the market, we can make a bigger/smaller association between such entities. This association is susceptible of being represented by accounting symmetries. Accounting symmetries are obtained to measure the positions taken by entities in a…
Tetraallylsilane π-Complexation: Synthesis and Structure of [Cu5Cl5(CH2-CH=CH2)4Si]
2009
By alternating-current electrochemical technique, starting from CuCl2·2H2O and tetraallylsilane (TAS), crystals of the π complex [Cu5Cl5(CH2–CH=CH2)4Si] (I) were obtained, FTIR characterized and structurally investigated. The structure of I is monoclinic, space group P21/n, a = 12.292(3), b = 12.083(3), c = 13.356(3) A, β = 90.19(3)°, V = 1983.7(9) A3 [at 100(2) K], Z = 4; R1 = 0.0379, wR2 = 0.1040 for 3583 reflections. The TAS molecule behaves as a tetradentate cross-bridged ligand linking four (Cu5Cl5)∞ fragments through the C=C bonds. The influence of the inorganic part and ligand symmetries combined with their conformational abilities on the overall crystal symmetry is discussed.
XTDS and SPVIEW: Graphical tools for the analysis and simulation of high-resolution molecular spectra
2008
International audience; XTDS is a Java front-end to the different programs implementing the tensorial formalism developed in the Dijon group [see for instance: V. Boudon, J.-P. Champion, T. Gabard, M. Loëte, F. Michelot, G. Pierre, M. Rotger, Ch. Wenger, M. Rey, J. Mol. Spectrosc. 228 (2004) 620–634 ]. It allows the simulation and analysis of polyad systems for molecules of various symmetries (Td and Oh spherical tops like CH4 and SF6, C2v and C4v quasi-spherical tops like SO2F2 and SF5Cl, D2h molecules like C2H4). SPVIEW is a multiplatform Java application that allows graphical assignment of high-resolution molecular spectra. It is possible to load, display and manipulate experimental and …
Simetries de mirall en l’ordre intern de les construccions absolutes: del català antic al català actual
2016
Resum: Se sol assumir que les construccions absolutes manifesten les mateixes propietats sintàctiques i interpretatives que les subordinades adverbials però, en contrast amb aquestes, no disposen d’un subordinant explícit. En aquest article argumentarem en contra d’aquesta idea. Partint de l’anàlisi de la dislocació del subjecte en el català primitiu i en l’actual, justificarem que les CA encapçalades per una vegada i un cop en català tenen un subordinant format composicionalment per dues porcions discontinues: d’una banda, una preposició incorporada en l’estructura sublèxica del participi, seguint la proposta de Gallego & Hernanz (2012) i, de l’altra, una expressió temporal (una vegada, un…
M-theory, graphene-branes and superconducting wormholes
2017
Exploiting an M-brane system whose structure and symmetries are inspired by those of graphene (what we call a graphene-brane), we propose here a similitude between two layers of graphene joined by a nanotube and wormholes scenarios in the brane world. By using the symmetries and mathematical properties of the M-brane system, we show here how to possibly increase its conductivity, to the point of making it as a superconductor. The questions of whether and under which condition this might point to the corresponding real graphene structures becoming superconducting are briefly outlined.
Acoustic vibrations of anisotropic nanoparticles
2009
Acoustic vibrations of nanoparticles made of materials with anisotropic elasticity and nanoparticles with non-spherical shapes are theoretically investigated using a homogeneous continuum model. Cubic, hexagonal and tetragonal symmetries of the elasticity are discussed, as are spheroidal, cuboctahedral and truncated cuboctahedral shapes. Tools are described to classify the different vibrations and for example help identify the modes having a significant low-frequency Raman scattering cross-section. Continuous evolutions of the modes starting from those of an isotropic sphere coupled with the determination of the irreducible representation of the branches permit some qualitative statements t…
Real structures on nilpotent orbit closures
2021
We determine the equivariant real structures on nilpotent orbits and the normalizations of their closures for the adjoint action of a complex semisimple algebraic group on its Lie algebra.