Titlebook: Low-Dimensional Topology and Quantum Field Theory; Hugh Osborn Book 1993 Springer Science+Business Media New York 1993 Algebra.Finite.Iden

Intuitive

并置

0258-1221 nsional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak- ers were concerned with a longer term programm978-1-4899-1614-3978-1-4899-1612-9Series ISSN 0258-1221

匯總

改革運(yùn)動(dòng)

prodrome

0258-1221 e no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new the

凹室

Physical States in Topological Coset Models,ogy on a free field Fock space as well as on an irreducible representation of the “matter” Kac-Moody algebra are extracted. We compare the results with those of (., .) minimal models coupled to gravity and with (., .) .. strings for the case of . at level . and . at level . respectively.

拋棄的貨物

2D Black Holes and 2D Gravity,entz transformation, is considered. In the limit of high boost, the resulting black hole is found to tend to the Liouville field coupled to a . = 1 matter field. The limit of the vertex operators of the 2 dimensional black hole also tend to those of the . = 1 two dimensional gravity.

冒煙

Schwinger-Dyson Equation in Three-Dimensional Simplicial Quantum Gravity,on equation even if we restrict the topology in the interior of the surface, so long as the surface is non-degenerate. We propose a set of factorization conditions on the amplitudes which singles out a solution associated to triangulations of ...

ADAGE

Observables in the Kontsevich Model,ify the notion of “observables” in both pictures, as related to KdV time evolutions. As a result we prove two conjectures by Kontsevich and Witten about the form of these observables, which involve polynomial matrix averages.

思想靈活

Matrix Models in Statistical Mechanics and Quantum Field Theory, Recent Examples and Problems,e-time. The approach of random rectangular matrices makes use of the vast knowledge on vector models developed in the past two decades..Before describing these two items, some basic steps in the traditional methods will be recalled, with the hope that mathematicians might be interested in solving the problems still unanswered.