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arXivOn the Hypermultiplet Moduli Space of Heterotic Compactifications with Small Instantons Eugene Perevalov 19981231 We explore a relation between fourdimensional N=2 heterotic vacua induced by Mirror Symmetry via Heterotic/Type II duality. It allows us to compute the \alpha' corrections to the hypermultiplet moduli space of heterotic compactifications on K3xT^2 in the limit of large base of the elliptic K3. We concentrate on the case of pointlike instantons on orbifold singularities leading to lowdimensional hypermultiplet moduli spaces.
Subject Source arXiv URL https://arxiv.org/abs/hepth/9812253view Article Title On the Hypermultiplet Moduli Space of Heterotic Compactifications with Small InstantonsAuthors Eugene PerevalovAbstract We explore a relation between fourdimensional N=2 heterotic vacua induced by Mirror Symmetry via Heterotic/Type II duality. It allows us to compute the \alpha' corrections to the hypermultiplet moduli space of heterotic compactifications on K3xT^2 in the limit of large base of the elliptic K3. We concentrate on the case of pointlike instantons on orbifold singularities leading to lowdimensional hypermultiplet moduli spaces.Is Part Of 19981231 Identifier ISSN: Category hepthLicense 
arXivPicardFuchs Uniformization: Modularity of the Mirror Map and MirrorMoonshine Charles F. Doran 19981231 Motivated by a conjecture of Lian and Yau concerning the mirror map in string theory, we determine when the mirror map qseries of certain elliptic curve and K3 surface families are Hauptmoduln (genus zero modular functions). Our geometric criterion for modularity characterizes orbifold uniformization properties of their PicardFuchs equations, effectively demystifying the mirrormoonshine phenomenon. A longer, more comprehensive treatment of these results will appear shortly.
Subject 수학 Source arXiv URL https://arxiv.org/abs/math/9812162view Article Title PicardFuchs Uniformization: Modularity of the Mirror Map and MirrorMoonshineAuthors Charles F. DoranAbstract Motivated by a conjecture of Lian and Yau concerning the mirror map in string theory, we determine when the mirror map qseries of certain elliptic curve and K3 surface families are Hauptmoduln (genus zero modular functions). Our geometric criterion for modularity characterizes orbifold uniformization properties of their PicardFuchs equations, effectively demystifying the mirrormoonshine phenomenon. A longer, more comprehensive treatment of these results will appear shortly.Is Part Of 19981231 Identifier ISSN: Category math.AG hepth math.NTLicense 
arXivGauging of equations method. II. Electromagnetic currents of three identical particles A. N. Kvinikhidze, B. Blankleider 19981231 The gauging of equations method, introduced in the preceding paper, is applied to the fourdimensional integral equations describing the strong interactions of three identical relativistic particles. In this way we obtain gauge invariant expressions for all possible electromagnetic transition currents of the identical threeparticle system. In the threenucleon system with no isospin violation, for example, our expressions describe the electromagnetic form factors of ^3H, pd>pd gamma, gamma ^3He> pd, gamma ^3He> ppn, etc. A feature of our approach is that gauge invariance is achieved through the coupling of the photon to all possible places in the (nonperturbative) strong interaction model. Moreover, once the proper identical particle symmetry is incorporated into the integral eqations describing the strong interactions, the gauging procedure automatically provides electromagnetic transition currents with the proper symmetry. In this way the gauging of equations method results in a unified description of strong and electromagnetic interaction of strongly interacting systems.
Subject Source arXiv URL https://arxiv.org/abs/nuclth/9901002view Article Title Gauging of equations method. II. Electromagnetic currents of three identical particlesAuthors A. N. Kvinikhidze; B. BlankleiderAbstract The gauging of equations method, introduced in the preceding paper, is applied to the fourdimensional integral equations describing the strong interactions of three identical relativistic particles. In this way we obtain gauge invariant expressions for all possible electromagnetic transition currents of the identical threeparticle system. In the threenucleon system with no isospin violation, for example, our expressions describe the electromagnetic form factors of ^3H, pd>pd gamma, gamma ^3He> pd, gamma ^3He> ppn, etc. A feature of our approach is that gauge invariance is achieved through the coupling of the photon to all possible places in the (nonperturbative) strong interaction model. Moreover, once the proper identical particle symmetry is incorporated into the integral eqations describing the strong interactions, the gauging procedure automatically provides electromagnetic transition currents with the proper symmetry. In this way the gauging of equations method results in a unified description of strong and electromagnetic interaction of strongly interacting systems.Is Part Of Phys.Rev. C60 (1999) 044004 19981231 Identifier ISSN: DOI 10.1103/PhysRevC.60.044004Category nuclthLicense 
arXivConstrained superpotentials in harmonic gauge theories with 8 supercharges B. M. Zupnik 19981231 We consider Ddimensional supersymmetric gauge theories with 8 supercharges (D<6,$~\mathcal{N}=8$) in the framework of harmonic superspaces. The effective Abelian lowenergy action for D=5 contains the free and ChernSimons terms. Effective $\mathcal{N}=8$ superfield actions for D<4 can be written in terms of the superpotentials satisfying the superfield constraints and (6D)dimensional Laplace equations. The role of alternative harmonic structures is discussed.
Subject Source arXiv URL https://arxiv.org/abs/hepth/9812249view Article Title Constrained superpotentials in harmonic gauge theories with 8 superchargesAuthors B. M. ZupnikAbstract We consider Ddimensional supersymmetric gauge theories with 8 supercharges (D<6,$~\mathcal{N}=8$) in the framework of harmonic superspaces. The effective Abelian lowenergy action for D=5 contains the free and ChernSimons terms. Effective $\mathcal{N}=8$ superfield actions for D<4 can be written in terms of the superpotentials satisfying the superfield constraints and (6D)dimensional Laplace equations. The role of alternative harmonic structures is discussed.Is Part Of Theor.Math.Phys. 120 (1999) 10871093; Teor.Mat.Fiz. 120 (1999) 324331 19981231 Identifier ISSN: DOI 10.1007/BF02557415Category hepthLicense 
arXivTwopoint correlation function of highredshift objects: an explicit formulation on a lightcone hypersurface Kazuhiro Yamamoto, Yasushi Suto 19981231 While all the cosmological observations are carried out on a lightcone, the null hypersurface of an observer at z=0, the clustering statistics has been properly defined only on the constanttime hypersurface. We develop a theoretical formulation for a twopoint correlation function on the lightcone, and derive a practical approximate expression relevant to the discussion of clustering of highredshift objects at large separations. As a specific example, we present predictions of the twopoint correlation function for the Durham/AAT, SDSS and 2dF quasar catalogues. We also briefly discuss the effects of adopted luminosity function, cosmological parameters and bias models on the correlation function on the lightcone.
Subject Source arXiv URL https://arxiv.org/abs/astroph/9812486view Article Title Twopoint correlation function of highredshift objects: an explicit formulation on a lightcone hypersurfaceAuthors Kazuhiro Yamamoto; Yasushi SutoAbstract While all the cosmological observations are carried out on a lightcone, the null hypersurface of an observer at z=0, the clustering statistics has been properly defined only on the constanttime hypersurface. We develop a theoretical formulation for a twopoint correlation function on the lightcone, and derive a practical approximate expression relevant to the discussion of clustering of highredshift objects at large separations. As a specific example, we present predictions of the twopoint correlation function for the Durham/AAT, SDSS and 2dF quasar catalogues. We also briefly discuss the effects of adopted luminosity function, cosmological parameters and bias models on the correlation function on the lightcone.Is Part Of 19981231 Identifier ISSN: DOI 10.1086/307184Category astrophLicense 
arXivHomogeneity of infinite dimensional isoparametric submanifolds Ernst Heintze, Xiaobo Liu 19981231 A subset S of a Riemannian manifold N is called extrinsically homogeneous if S is an orbit of a subgroup of the isometry group of N. Thorbergsson proved the remarkable result that every complete, connected, full, irreducible isoparametric submanifold of a finite dimensional Euclidean space of rank at least 3 is extrinsically homogeneous. This result, combined with results of PalaisTerng and Dadok, finally classified irreducible isoparametric submanifolds of a finite dimensional Euclidean space of rank at least 3. While Thorbergsson's proof used Tits buildings, a simpler proof without using Tits buildings was given by Olmos. The main purpose of this paper is to extend Thorbergsson's result to the infinite dimensional case.
Subject 수학 Source arXiv URL https://arxiv.org/abs/math/9901150view Article Title Homogeneity of infinite dimensional isoparametric submanifoldsAuthors Ernst Heintze; Xiaobo LiuAbstract A subset S of a Riemannian manifold N is called extrinsically homogeneous if S is an orbit of a subgroup of the isometry group of N. Thorbergsson proved the remarkable result that every complete, connected, full, irreducible isoparametric submanifold of a finite dimensional Euclidean space of rank at least 3 is extrinsically homogeneous. This result, combined with results of PalaisTerng and Dadok, finally classified irreducible isoparametric submanifolds of a finite dimensional Euclidean space of rank at least 3. While Thorbergsson's proof used Tits buildings, a simpler proof without using Tits buildings was given by Olmos. The main purpose of this paper is to extend Thorbergsson's result to the infinite dimensional case.Is Part Of Ann. of Math. (2) 149 (1999), no. 1, 149181 19981231 Identifier ISSN: Category math.DGLicense 
arXivA LargeScale Bulk Flow of Galaxy Clusters Michael J. Hudson, Russell J. Smith, John R. Lucey, ... more(5) 19981231 We report first results from the ``Streaming Motions of Abell Clusters'' (SMAC) project, an allsky Fundamental Plane survey of 699 earlytype galaxies in 56 clusters between ~3000 km/s and ~14000 km/s. For this sample, with a median distance of ~8000 km/s, we find a bulk flow of amplitude 630+/200 km/s, towards l = 260+/15, b = 1+/12, with respect to the Cosmic Microwave Background. The flow is robust against the effects of individual clusters and data subsets, the choice of Galactic extinction maps, Malmquist bias and stellar population effects. The direction of the SMAC flow is ~90 degrees away from the flow found by Lauer & Postman, but is in good agreement with the gravity dipole predicted from the distribution of Xrayluminous clusters. Our detection of a highamplitude coherent flow on such a large scale argues for excess mass density fluctuation power at wavelengths >~ 60 h^1 Mpc, relative to the predictions of currentlypopular cosmological models.
Subject Source arXiv URL https://arxiv.org/abs/astroph/9901001view Article Title A LargeScale Bulk Flow of Galaxy ClustersAuthors Michael J. Hudson; Russell J. Smith; John R. Lucey; David J. Schlegel; Roger L. DaviesAbstract We report first results from the ``Streaming Motions of Abell Clusters'' (SMAC) project, an allsky Fundamental Plane survey of 699 earlytype galaxies in 56 clusters between ~3000 km/s and ~14000 km/s. For this sample, with a median distance of ~8000 km/s, we find a bulk flow of amplitude 630+/200 km/s, towards l = 260+/15, b = 1+/12, with respect to the Cosmic Microwave Background. The flow is robust against the effects of individual clusters and data subsets, the choice of Galactic extinction maps, Malmquist bias and stellar population effects. The direction of the SMAC flow is ~90 degrees away from the flow found by Lauer & Postman, but is in good agreement with the gravity dipole predicted from the distribution of Xrayluminous clusters. Our detection of a highamplitude coherent flow on such a large scale argues for excess mass density fluctuation power at wavelengths >~ 60 h^1 Mpc, relative to the predictions of currentlypopular cosmological models.Is Part Of Astrophys.J. 512 (1999) L79 19981231 Identifier ISSN: DOI 10.1086/311883Category astrophLicense 
arXivA Matrix Formulation of Einstein's Vacuum Field Equations Walter J. Wild 19981231 We develop a correspondence between arbitrary tensors and matrices based on the use of Kronecker products and associated identities. Utilizing the rules of matrix differentiation we derive the vacuum Einstein field equations as a differentialmatrix equation. This formulation may facilitate their efficient use in numerical relativistic models.
Subject Source arXiv URL https://arxiv.org/abs/grqc/9812095view Article Title A Matrix Formulation of Einstein's Vacuum Field EquationsAuthors Walter J. WildAbstract We develop a correspondence between arbitrary tensors and matrices based on the use of Kronecker products and associated identities. Utilizing the rules of matrix differentiation we derive the vacuum Einstein field equations as a differentialmatrix equation. This formulation may facilitate their efficient use in numerical relativistic models.Is Part Of 19981231 Identifier ISSN: Category grqcLicense 
arXivConstraints on the Higgs Sector from Processes Involving Photons Maria Krawczyk 19981231 The Higgs sector of the Standard Model and of the Two Higgs Doublet Extensions of SM, MSSM and the general 2HDM, can be tested in processes involving photons. A short review of the corresponding results is presented.
Subject Source arXiv URL https://arxiv.org/abs/hepph/9812536view Article Title Constraints on the Higgs Sector from Processes Involving PhotonsAuthors Maria KrawczykAbstract The Higgs sector of the Standard Model and of the Two Higgs Doublet Extensions of SM, MSSM and the general 2HDM, can be tested in processes involving photons. A short review of the corresponding results is presented.Is Part Of 19981231 Identifier ISSN: Category hepphLicense 
arXivSymmetries of a class of nonlinear fourth order partial differential equations Peter A. Clarkson, Thomas J. Priestley 19981231 In this paper we study symmetry reductions of a class of nonlinear fourth order partial differential equations \be u_{tt} = \left(\kappa u + \gamma u^2\right)_{xx} + u u_{xxxx} +\mu u_{xxtt}+\alpha u_x u_{xxx} + \beta u_{xx}^2, \ee where $\alpha$, $\beta$, $\gamma$, $\kappa$ and $\mu$ are constants. This equation may be thought of as a fourth order analogue of a generalization of the CamassaHolm equation, about which there has been considerable recent interest. Further equation (1) is a ``Boussinesqtype'' equation which arises as a model of vibrations of an anharmonic massspring chain and admits both ``compacton'' and conventional solitons. A catalogue of symmetry reductions for equation (1) is obtained using the classical Lie method and the nonclassical method due to Bluman and Cole. In particular we obtain several reductions using the nonclassical method which are no} obtainable through the classical method.
Subject 수학 Source arXiv URL https://arxiv.org/abs/math/9901154view Article Title Symmetries of a class of nonlinear fourth order partial differential equationsAuthors Peter A. Clarkson; Thomas J. PriestleyAbstract In this paper we study symmetry reductions of a class of nonlinear fourth order partial differential equations \be u_{tt} = \left(\kappa u + \gamma u^2\right)_{xx} + u u_{xxxx} +\mu u_{xxtt}+\alpha u_x u_{xxx} + \beta u_{xx}^2, \ee where $\alpha$, $\beta$, $\gamma$, $\kappa$ and $\mu$ are constants. This equation may be thought of as a fourth order analogue of a generalization of the CamassaHolm equation, about which there has been considerable recent interest. Further equation (1) is a ``Boussinesqtype'' equation which arises as a model of vibrations of an anharmonic massspring chain and admits both ``compacton'' and conventional solitons. A catalogue of symmetry reductions for equation (1) is obtained using the classical Lie method and the nonclassical method due to Bluman and Cole. In particular we obtain several reductions using the nonclassical method which are no} obtainable through the classical method.Is Part Of J. Nonlinear Math. Phys. 6 (1999), no. 1, 6698 19981231 Identifier ISSN: DOI 10.2991/jnmp.1999.6.1.6Category math.APLicense