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Showing 1994Show all

10 papers · 1 filter

math.CO1994

A note on tiling with integer-sided rectangles

Richard Kenyon

We show how to determine if a given simple rectilinear polygon can be tiled with rectangles, each having an integer side.

math.CO1994★ 2 cited

Tiling a rectangle with the fewest squares

Richard Kenyon

We show that a square-tiling of a rectangle, where and are relatively prime integers, has at least squares. If we construct a square-tiling with…

hep-th1994★ 13 cited

Finite W Algebras and Intermediate Statistics

F. Barbarin, E. Ragoucy, P. Sorba

New realizations of finite W algebras are constructed by relaxing the usual constraint conditions. Then, finite W algebras are recognized in the Heisenberg quantization recently pr…

hep-th1994★ 53 cited

Regular Conjugacy Classes in the Weyl Group and Integrable Hierarchies

F. Delduc, L. Feher

Generalized KdV hierarchies associated by Drinfeld-Sokolov reduction to grade one regular semisimple elements from non-equivalent Heisenberg subalgebras of a loop algebra $\G\otime…

hep-th1994

On Coset Reductions of KP Hierarchies

F. Toppan

In this talk the class of multi-fields reductions of the KP and super-KP hierarchies (leading to non-purely differential Lax operators) is revisited from the point of view of coset…

hep-ph1994★ 18 cited

On the photoproduction of jets at HERA

P. Aurenche, M. Fontannaz, J. -Ph. Guillet

We discuss the inclusive jet production at HERA in the next-to-leading logarithm approximation. Theoretical uncertainties are considered in some details. We show the importance of…

hep-th1994★ 21 cited

Global Aspects of the WZNW Reduction to Toda Theories

I. Tsutsui, L. Feher

It is well-known that the Toda Theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW Toda reduct…

hep-th1994★ 18 cited

N=1,2 Super-NLS Hierarchies as Super-KP Coset Reductions

Francesco Toppan

We define consistent finite-superfields reductions of the super-KP hierarchies via the coset approach we already developped for reducing the bosonic KP-hierarchy (generatin…

hep-th1994★ 17 cited

On Universal Vassiliev Invariants

Daniel Altschuler, Laurent Freidel

Using properties of ordered exponentials and the definition of the Drinfeld associator as a monodromy operator for the Knizhnik-Zamolodchikov equations, we prove that the analytic…

hep-th1994

Non-hermitian tricriticality in the Blume-Capel model with imaginary field

G. von Gehlen

Using finite-size-scaling methods, we study the quantum chain version of the spin--Blume-Capel model coupled to an imaginary field. The aim is to realize higher order non-unitar…