共查询到20条相似文献,搜索用时 15 毫秒
1.
Takashi Kimura Jim Stasheff Alexander A. Voronov 《Communications in Mathematical Physics》1995,171(1):1-25
We construct a real compactification of the moduli space of punctured rational algebraic curves and show how its geometry yields operads governing homotopy Lie algebras, gravity algebras and Batalin-Vilkovisky algebras. These algebras appeared recently in the context of string theory, and we give a simple deduction of these algebraic structures from the formal axioms of conformal field theory and string theory.To the memory of Ansgar SchnizerResearch supported by an NSF Postdoctoral Research FellowshipResearch supported in part by NSF grant DMS-9206929 and a Research and Study Leave from the University of North Carolina-Chapel HillResearch supported in part by NSF grant DMS-9108269.A03 相似文献
2.
John Palmer 《Communications in Mathematical Physics》1989,120(4):547-574
An infinite volume Pfaffian formalism is developed for the Ising model.Research supported in part by NSF grant DMS-8421289 相似文献
3.
Charles Holton Charles Radin Lorenzo Sadun 《Communications in Mathematical Physics》2005,254(2):343-359
We consider tiling dynamical systems and topological conjugacies between them. We prove that the criterion of being of finite type is invariant under topological conjugacy. For substitution tiling systems under rather general conditions, including the Penrose and pinwheel systems, we show that substitutions are invertible and that conjugacies are generalized sliding block codes.Research supported in part by NSF Vigre Grant DMS-0091946Research supported in part by NSF Grant DMS-0071643 and Texas ARP Grant 003658-158Acknowledgement The authors are grateful for the support of the Banff International Research Station, at which we formulated and proved Theorem 3. 相似文献
4.
In this paper we study the Bogomol'nyi equations of the electroweak theory in the full plane. We will show that, for any distribution of the vortices, there exists a two parameter family of gauge-distinct solutions. Moreover, we also establish some sharp decay rate estimates for these solutions.Research supported in part by NSF grant DMS-88-02858 and DOE grant DE-FG02-86ER250125 相似文献
5.
It is shown that instantons are hyperbolic monopoles for the loop group with non-maximal symmetry breaking at infinity.Research supported in part by NSF grant DMS-8506130 相似文献
6.
We provide an elementary and self-contained derivation of formulae for averages of products and ratios of characteristic polynomials
of random matrices from classical groups using classical results due to Weyl and Littlewood.
The first author was supported in part by the NSF grant FRG DMS-0354662.
The second author was supported in part by the NSF postdoctoral fellowship and by the NSF grant DMS-0501245. 相似文献
7.
In this paper, we give a new genus-3 topological recursion relation for Gromov-Witten invariants of compact symplectic manifolds.
This formula also applies to intersection numbers on moduli spaces of spin curves. A by-product of the proof of this formula
is a new relation in the tautological ring of the moduli space of 1-pointed genus-3 stable curves.
Research of the first author was partially supported by NSF grant DMS-0204824
Research of the second author was partially supported by NSF grant DMS-0505835 相似文献
8.
Boris Feigin Vadim Schechtman Alexander Varchenko 《Communications in Mathematical Physics》1994,163(1):173-184
It is proven that integral expressions for conformal correlators insl(2) WZW model found in [SV] satisfy certain natural algebraic equations. This implies that the above integrals really take their values in spaces of conformal blocks.The second author was supported in part by the NSF grant DMS-9202280. The third author was supported in part by the NSF grant DMS-9203939 相似文献
9.
In this paper, we studied the regularity problem for harmonic maps into hyperbolic spaces with prescribed singularities along codimension two submanifolds. This is motivated from one of Hawking's conjectures on the uniqueness of Kerr solutions among all axially symmetric asymptotically flat stationary solutions to the vacuum Einstein equation in general relativity.Research partially supported by a NSF grant DMS-8907849.Research partially supported by a NSF grant 相似文献
10.
Richard A. Wentworth 《Communications in Mathematical Physics》2008,282(2):339-355
A computation of the constant appearing in the spin-1 bosonization formula is given. This constant relates Faltings’ delta
invariant to the zeta-regularized determinant of the Laplace operator with respect to the Arakelov metric.
Research supported in part by NSF grant DMS-0505512. 相似文献
11.
C. Chicone Y. Latushkin S. Montgomery-Smith 《Communications in Mathematical Physics》1995,173(2):379-400
The spectrum of the kinematic dynamo operator for an ideally conducting fluid and the spectrum of the corresponding group acting in the space of continuous divergence free vector fields on a compact Riemannian manifold are described. We prove that the spectrum of the kinematic dynamo operator is exactly one vertical strip whose boundaries can be determined in terms of the Lyapunov-Oseledets exponents with respect to all ergodic measures for the Eulerian flow. Also, we prove that the spectrum of the corresponding group is obtained from the spectrum of its generator by exponentiation. In particular, the growth bound for the group coincides with the spectral bound for the generator.supported by the NSF grant DMS-9303767supported by the NSF grant DMS-9400518 and by the Summer Research Fellowship of the University of Missourisupported by the NSF grant DMS-9201357 相似文献
12.
We develop a class of examples in the form of tiling dynamical systems for use as toy models in statistical mechanics, to analyze the possible existence of disordered crystals. We give the first such models which are disordered in the sense of having no discrete spectrum.Research supported in part by a grant from the Israel Science and Technology MinistryResearch supported in part by NSF Grant No. DMS-9001475 相似文献
13.
Anthony M. Bloch Roger W. Brockett Tudor S. Ratiu 《Communications in Mathematical Physics》1992,147(1):57-74
In this paper we exhibit the Toda lattice equations in a double bracket form which shows they are gradient flow equations (on their isospectral set) on an adjoint orbit of a compact Lie group. Representations for the flows are given and a convexity result associated with a momentum map is proved. Some general properties of the double bracket equations are demonstrated, including a discussion of their invariant subspaces, and their function as a Lie algebraic sorter.Supported in part by NSF Grant DMS-90-02136, NSF PYI Grant DMS-9157556, and a Seed Grant from Ohio State UniversitySupported in part by AFOSR grant AFOSR-96-0197, by U.S. Army Research Office grant DAAL03-86-K-0171 and by NSF grant CDR-85-00108Supported in part by NSF Grant DMS-8922699 相似文献
14.
We describe a family of random walks in random environments which have exponentially decaying correlations, nearest neighbor transition probabilities which are bounded away from 0, and yet are subdiffusive in any dimensiond<.This author partially supported by NSF grant DMS 83-1080This author partially supported by NSF grant DMS-85-05020 and the Army Research Office through the Mathematical Sciences Institute at Cornell University 相似文献
15.
It is shown that calorons, or periodic instantons are the same as monopoles with the loop group as their structure group. Their twistor correspondences and spectral data are defined. The spectral data is shown to determine the general caloron.Research supported in part by NSF grant DMS-8506130 相似文献
16.
We consider the scalar wave equation in the Kerr geometry for Cauchy data which is smooth and compactly supported outside
the event horizon. We derive an integral representation which expresses the solution as a superposition of solutions of the
radial and angular ODEs which arise in the separation of variables. In particular, we prove completeness of the solutions
of the separated ODEs.
This integral representation is a suitable starting point for a detailed analysis of the long-time dynamics of scalar waves
in the Kerr geometry.
Research supported by NSERC grant # RGPIN 105490-2004.
Research supported in part by the NSF, Grant No. DMS-010-3998.
Research supported in part by the NSF, Grant No. 33-585-7510-2-30. 相似文献
17.
Witten's 2+1 dimensional Chern-Simons theory is exactly solvable. We compute the partition function, a topological invariant of 3-manifolds, on generalized Seifert spaces. Thus we test the path integral using the theory of 3-manifolds. In particular, we compare the exact solution with the asymptotic formula predicted by perturbation theory. We conclude that this path integral works as advertised and gives an effective topological invariant.The first author is supported by NSF grant DMS-8805684, an Alfred P. Sloan Research Fellowship, and a Presidential Young Investigators award. The second author is supported by NSF grant DMS-8902153 相似文献
18.
Claude LeBrun 《Communications in Mathematical Physics》1991,139(1):1-43
A twistor correspondence is given for complex conformal space-times with vanishing Bach and Eastwood-Dighton tensors; when the Weyl curvature is algebraically general, these equations are precisely the conformal version of Einstein's vacuum equations with cosmological constant. This gives a fully curved version of the linearized correspondence of Baston and Mason [B-M].Research supported in part by NSF grant DMS-8704401 相似文献
19.
Ivan Cherednik 《Communications in Mathematical Physics》1995,169(2):441-461
The elliptic-matrix quantum Olshanetsky-Perelomov problem is introduced for arbitrary root systems by means of an elliptic version of the Dunkl operators. Its equivalence with the double affine generalization of the Knizhnik-Zamolodchikov equation (in the induced representations) is established.Partially supported by NSF grant number DMS-9301114 and UNC Research Counsel grant 相似文献
20.
We give a short proof of asymptotic completeness and global existence for the cubic Nonlinear Klein-Gordon equation in one
dimension. Our approach to dealing with the long range behavior of the asymptotic solution is by reducing it, in hyperbolic
coordinates to the study of an ODE. Similar arguments extend to higher dimensions and other long range type nonlinear problems.
Mathematics Subject Classifications (2000): 35L15, 74J30, 76B15 ★ Part of this work was done while H.L. was a Member of the
Institute for Advanced Study, Princeton, supported by the NSF grant DMS-0111298 to the Institute. H.L. was also partially
supported by the NSF Grant DMS-0200226. † Also a member of the Institute of Advanced Study, Princeton. Supported in part by
NSF grant DMS-0100490. 相似文献