๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Solutions to the XXX type Bethe ansatz equations and flag varieties

โœ Scribed by E. Mukhin; A. Varchenko

Book ID
111487714
Publisher
SP Versita
Year
2003
Tongue
English
Weight
620 KB
Volume
1
Category
Article
ISSN
1895-1074

No coin nor oath required. For personal study only.

โœฆ Synopsis

We consider a version of the A N Bethe equation of XXX type and introduce a reproduction procedure constructing new solutions of this equation from a given one. The set of all solutions obtained from a given one is called a population. We show that a population is isomorphic to the sl N+1 ยฎag variety and that the populations are in one-to-one correspondence with intersection points of suitable Schubert cycles in a Grassmanian variety. We also obtain similar results for the root systems B N and C N . Populations of B N and C N type are isomorphic to the ยฎag varieties of C N and B N types respectively.

๐Ÿ“œ SIMILAR VOLUMES

Covariant solutions of the Bethe-Salpete
Covariant solutions of the Bethe-Salpeter equation and an application to the nucleon stucture function
โœ A.G. Williams ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 281 KB

There is a need for covariant solutions of bound state equations in order to construct realistic QCD based models of mesons and baryons. Furthermore, we ideally need to know the structure of these bound states in all kinematical regimes, which makes a direct solution in Minkowski space (without any