555 research outputs found
Affine Weyl groups, discrete dynamical systems and Painleve equations
A new class of representations of affine Weyl groups on rational functions
are constructed, in order to formulate discrete dynamical systems associated
with affine root systems. As an application, some examples of difference and
differential systems of Painleve type are discussed.Comment: AMSLaTeX, 16 page
Crystalline Spinon Basis for RSOS Models
The crystalline spinon basis for the RSOS models associated with
is studied. This basis gives fermionic type character formulas
for the branching coefficients of the coset . In addition the path description of
the parafermion characters is found as a limit of the spinon description of the
string functions.Comment: 16 pages, latex, no figures, Comments are added in the discussion
section. Some references are adde
Five-dimensional AGT Relation and the Deformed beta-ensemble
We discuss an analog of the AGT relation in five dimensions. We define a
q-deformation of the beta-ensemble which satisfies q-W constraint. We also show
a relation with the Nekrasov partition function of 5D SU(N) gauge theory with
N_f=2N.Comment: 38page. References and an appendix for 4D case added. Typos correcte
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