共查询到20条相似文献,搜索用时 15 毫秒
1.
Nonassociative Tori and Applications to T-Duality 总被引:2,自引:2,他引:0
Peter Bouwknegt Keith Hannabuss Varghese Mathai 《Communications in Mathematical Physics》2006,264(1):41-69
In this paper, we initiate the study of C*-algebras endowed with a twisted action of a locally compact abelian Lie group , and we construct a twisted crossed product , which is in general a nonassociative, noncommutative, algebra. The duality properties of this twisted crossed product algebra
are studied in detail, and are applied to T-duality in Type II string theory to obtain the T-dual of a general principal torus
bundle with general H-flux, which we will argue to be a bundle of noncommutative, nonassociative tori. Nonassociativity is
interpreted in the context of monoidal categories of modules. We also show that this construction of the T-dual includes the
other special cases already analysed in a series of papers. 相似文献
2.
FUZun-Tao LIUShi-Da LIUShi-Kuo 《理论物理通讯》2003,40(3):285-292
The elliptic equation is taken as a transformation and applied to solve nonlinear coupled systems. It is shown that this method is more powerful to give more kinds of solutions, such as rational solutions, solitary wave solutions, periodic wave solutions and so on, so this method can be taken as a unified method in solving nonlinear coupled systems. 相似文献
3.
The elliptic equation is taken as a transformation and applied to solve nonlinear coupled systems. Itis shown that this method is more powerful to give more kinds of solutions, such as rational solutions, solitary wavesolutions, periodic wave solutions and so on, so this method can be taken as a unified method in solving nonlinear coupled systems. 相似文献
4.
5.
Elliptic equation is taken as an ansatz and applied to solve
nonlinear wave equations directly. More kinds of solutions are
directly obtained, such as rational solutions, solitary wave
solutions, periodic wave solutions and so on. It is shown that
this method is more powerful in giving more kinds of solutions, so
it can be taken as a generalized method. 相似文献
6.
We consider a class of randomly perturbed dynamical systems satisfying conditions which reflect the properties of general
(nonlinear) dissipative parabolic PDEs. Results on invariant measures and their exponential mixing properties are proved,
and applications to 2D Navier–Stokes systems are included.
Received: 15 May 2001 / Accepted: 30 November 2001 相似文献
7.
Thomas Reichelt 《Communications in Mathematical Physics》2009,287(3):1145-1187
A construction theorem for Frobenius manifolds with logarithmic poles is established. This is a generalization of a theorem
of Hertling and Manin. As an application we prove a partial generalization of the reconstruction theorem of Kontsevich and
Manin for projective smooth varieties with convergent Gromov-Witten potential. A second application is a construction of Frobenius
manifolds out of a variation of polarized Hodge structures which degenerates along a normal crossing divisor when certain
generation conditions are fulfilled. 相似文献
8.
Henri Berestycki François Hamel Nikolai Nadirashvili 《Communications in Mathematical Physics》2005,253(2):451-480
This paper is concerned with the asymptotic behaviour of the principal eigenvalue of some linear elliptic equations in the limit of high first-order coefficients. Roughly speaking, one of the main results says that the principal eigenvalue, with Dirichlet boundary conditions, is bounded as the amplitude of the coefficients of the first-order derivatives goes to infinity if and only if the associated dynamical system has a first integral, and the limiting eigenvalue is then determined through the minimization of the Dirichlet functional over all first integrals. A parabolic version of these results, as well as other results for more general equations, are given. Some of the main consequences concern the influence of high advection or drift on the speed of propagation of pulsating travelling fronts.The third author was partially supported by a NSF grant. 相似文献
9.
JETP Letters - We study the field theory localizing to holomorphic maps from a complex manifold of complex dimension 2 to a toric target (a generalization of A model). Fields are realized as maps... 相似文献
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11.
Applications of Jacobi Elliptic Function Expansion Method for Nonlinear Differential-Difference Equations 总被引:1,自引:0,他引:1
The Jacobi elliptic function expansion method is extended to derive the
explicit periodic wave solutions for nonlinear differential-difference equations. Three well-known examples are
chosen to illustrate the application of the Jacobi elliptic function expansion method. As a result, three types of periodic wave solutions including Jacobi elliptic sine function, Jacobi
elliptic cosine function and the third elliptic function solutions
are obtained. It is shown that the shock wave solutions and
solitary wave solutions can be obtained at their limit condition. 相似文献
12.
We analyze in detail projective modules over two-dimensional noncommutative tori and complex structures on these modules. We concentrate our attention on properties of holomorphic vectors in these modules; the theory of these vectors generalizes the theory of theta-functions. The paper is self-contained; it can be used also as an introduction to the theory of noncommutative spaces with simplest space of this kind thoroughly analyzed as a basic example. 相似文献
13.
A fractional sub-equation method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, the nonlinear time fractional biological population model and (4+1)-dimensional space-time fractional Fokas equation are considered. As a result, three types of exact analytical solutions are obtained. 相似文献
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15.
SHAOMing-Xue ZHUZHONG-Yuan 《理论物理通讯》2001,35(3):263-266
The Weil‘s integrality condition of prequantization is generalized to two-dimensional phase space with boundaries.It is shown that in the prequantization condition a term related to the symplectic potential on the boundary appears.The necessity of the generalized condition is proved by analyzing the isolated singularities of the Hermitian bundle while the sufficiency of the condition is proved via geometric construction on the space of equivalence class. 相似文献
16.
17.
We consider a class of a priori stable quasi-integrable analytic Hamiltonian systems and study the regularity of low-dimensional
hyperbolic invariant tori as functions of the perturbation parameter. We show that, under natural nonresonance conditions,
such tori exist and can be identified through the maxima or minima of a suitable potential. They are analytic inside a disc
centered at the origin and deprived of a region around the positive or negative real axis with a quadratic cusp at the origin.
The invariant tori admit an asymptotic series at the origin with Taylor coefficients that grow at most as a power of a factorial
and a remainder that to any order N is bounded by the (N+1)-st power of the argument times a power of N!. We show the existence of a summation criterion of the (generically divergent) series, in powers of the perturbation size,
that represent the parametric equations of the tori by following
the renormalization group methods for the resummations of perturbative series in quantum field theory.
Received: 9 July 2001 / Accepted: 26 October 2001 相似文献
18.
Briere RA Chen GP Ferguson T Tatishvili G Vogel H Adam NE Alexander JP Berkelman K Boisvert V Cassel DG Drell PS Duboscq JE Ecklund KM Ehrlich R Galik RS Gibbons L Gittelman B Gray SW Hartill DL Heltsley BK Hsu L Jones CD Kandaswamy J Kreinick DL Magerkurth A Mahlke-Krüger H Meyer TO Mistry NB Patterson JR Peterson D Pivarski J Richichi SJ Riley D Sadoff AJ Schwarthoff H Shepherd MR Thayer JG Urner D Wilksen T Warburton A Weinberger M Athar SB Avery P Breva-Newell L Potlia V Stoeck H Yelton J 《Physical review letters》2003,90(18):181802
From electron-positron collision data collected with the CLEO detector operating at Cornell Electron Storage Ring near sqrt[s]=10.6 GeV, improved measurements of the branching fractions for tau decays into three explicitly identified hadrons and a neutrino are presented as B(tau(-)-->pi(-)pi(+)pi(-)nu(tau))=(9.13+/-0.05+/-0.46)%, B(tau(-)-->K-pi(+)pi(-)nu(tau))=(3.84+/-0.14+/-0.38) x 10(-3), B(tau(-)-->K-K+pi(-)nu(tau))=(1.55+/-0.06+/-0.09) x 10(-3), and B(tau(-)-->K-K+K-nu(tau))<3.7 x 10(-5) at 90% C.L., where the uncertainties are statistical and systematic, respectively. 相似文献
19.
Elliptic Equation and New Solutions to Nonlinear Wave Equations 总被引:2,自引:0,他引:2
FUZun-Tao LIUShi-Kuo LIUShi-Da 《理论物理通讯》2004,42(3):343-346
The new solutions to elliptic equation are shown, and then the elliptic: equation is taken as a transformation and is applied to solve nonlinear wave equations. It is shown that more kinds of solutions are derived, such as periodic solutions of rational form, solitary wave solutions of rational form, and so on. 相似文献
20.
FU Zun-Tao LIU Shi-Kuo LIU Shi-Da 《理论物理通讯》2004,42(9)
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a transformationand is applied to solve nonlinear wave equations. It is shown that more kinds of solutions are derived, such as periodicsolutions of rational form, solitary wave solutions of rational form, and so on. 相似文献