共查询到20条相似文献,搜索用时 31 毫秒
1.
Claude LeBrun Yat-Sun Poon R. O. Wells Jr. 《Communications in Mathematical Physics》1990,126(3):433-452
We generalize the Kodaira Embedding Theorem and Chow's Theorem to the context of families of complex supermanifolds. In particular, we show that every family of super Riemann surfaces is a family of projective superalgebraic varieties.Research supported in part by NSF grant DMS-8704401Research supported in part by NSF grant DMS-4253943Research also supported in part by NSF grant DMS-4253943 相似文献
2.
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
3.
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
4.
Yi-Zhi Huang 《Communications in Mathematical Physics》1994,164(1):105-144
We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we obtain a conceptual and geometric construction of the Batalin-Vilkovisky algebraic structure (or the Gerstenhaber algebra structure) on the cohomology of a topological vertex algebra (or of a weak topological vertex algebra) by combining this operadic formulation with a theorem of Getzler (or of Cohen) which formulates Batalin-Vilkovisky algebras (or Gerstenhaber algebras) in terms of the homology of the framed little disk operad (or of the little disk operad).The author is supported in part by NSF grant DMS-9104519 相似文献
5.
Jiang-Hua Lu 《Communications in Mathematical Physics》1993,157(2):389-404
We introduce the notion of moment maps for quantum groups acting on their module algebras. When the module algebras are quantizations of Poisson manifolds, we prove that the construction at the quantum level is a quantization of that at the semi-classical level. We also prove that the corresponding smashed product algebras are quantizations of the semi-direct product Poisson structures.Research partially supported by NSF grant DMS-89-07710 相似文献
6.
We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach's open-closed string field theory and also is related to the situation of Kontsevich's deformation
quantization. We show that it is actually a homotopy invariant notion; for instance, the minimal model theorem holds. Also,
we show that our open-closed homotopy algebra gives us a general scheme for deformation of open string structures (A∞-algebras) by closed strings (L∞-algebras).
H. K is supported by JSPS Research Fellowships for Young Scientists.
J. S. is supported in part by NSF grant FRG DMS-0139799 and US-Czech Republic grant INT-0203119. 相似文献
7.
Chongying Dong Haisheng Li Geoffrey Mason 《Communications in Mathematical Physics》1996,180(3):671-707
We consider how a vertex operator algebra can be extended to an abelian interwining algebra by a family of weak twisted modules which aresimple currents associated with semisimple weight one primary vectors. In the case that the extension is again a vertex operator algebra, the rationality of the extended algebra is discussed. These results are applied to affine Kac-Moody algebras in order to construct all the simple currents explicitly (except forE
8) and to get various extensions of the vertex operator algebras associated with integrable representations.Supported by NSF grant DMS-9303374 and a research grant from the Committee on Research, UC Santa Cruz.Supported by NSF grant DMS-9401272 and a research grant from the Committee on Research, UC Santa Cruz. 相似文献
8.
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
9.
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
10.
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
11.
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
12.
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
13.
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
14.
P. Podleś 《Communications in Mathematical Physics》1996,181(3):569-585
Covariant differential calculi and exterior algebras on quantum homogeneous spaces endowed with the action of inhomogeneous quantum groups are classified. In the case of quantum Minkowski spaces they have the same dimensions as in the classical case. Formal solutions of the corresponding Klein-Gordon and Dirac equations are found. The Fock space construction is sketched.This research was supported in part by NSF grant DMS-9508597 and in part by Polish KBN grant No. 2 P301 02007. 相似文献
15.
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
16.
We construct in detail a 2+1 dimensional gauge field theory with finite gauge group. In this case the path integral reduces to a finite sum, so there are no analytic problems with the quantization. The theory was originally introduced by Dijkgraaf and Witten without details. The point of working it out carefully is to focus on the algebraic structure, and particularly the construction of quantum Hilbert spaces on closed surfaces by cutting and pasting. This includes the Verlinde formula. The careful development may serve as a model for dealing with similar issues in more complicated cases.The first author is supported by NSF grant DMS-8805684, an Alfred P. Sloan Research Fellowship, a Presidential Young Investigators award, and by the O'Donnell Foundation. The second author is supported by NSF grant DMS-9207973 相似文献
17.
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
18.
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
19.
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
20.
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