Dilute Birman-Wenzl-Murakami algebra and Dn+1(2) models
نویسندگان
چکیده
منابع مشابه
“Dilute” Birman–Wenzl–Murakami Algebra
Explicit expressions for three series of R matrices which are related to a “dilute” generalisation of the Birman–Wenzl–Murakami algebra are presented. Of those, one series is equivalent to the quantum R matrices of the D (2) n+1 generalised Toda systems whereas the remaining two series appear to be new. A “dilute” generalisation of the Birman–Wenzl–Murakami (BWM) algebra [1, 2] has recently bee...
متن کاملBirman-Wenzl-Murakami Algebra and Logarithmic Superconformal Minimal Models
Two-dimensional exactly solvable loop models, built on the Temperley-Lieb algebra, have previously been introduced to study statistical systems with non-local degrees of freedom such as polymers and percolation. In the continuum scaling limit, these models describe logarithmic minimal Conformal Field Theories (CFTs). In this thesis, we introduce and study new two-dimensional exactly solvable su...
متن کاملIncompressible representations of the Birman-Wenzl-Murakami algebra
We construct a representation of the Birman-Wenzl-Murakami algebra acting on a space of polynomials in n variables vanishing when three points coincide. These polynomials are closely related to the Pfaffian state of the Quantum Hall Effect and to the components the transfer matrix eigenvector of a O(n) crossing loop model.
متن کاملCellularity of Cyclotomic Birman–wenzl–murakami Algebras
We show that cyclotomic BMW algebras are cellular algebras.
متن کاملTHE BIRMAN–MURAKAMI–WENZL ALGEBRAS OF TYPE Dn
The Birman–Murakami–Wenzl algebra (BMW algebra) of type Dn is shown to be semisimple and free over Z[δ±1, l±1]/(m(1− δ)− (l− l−1)) of rank (2n + 1)n!! − (2n−1 + 1)n!, where n!! = 1 · 3 · · · (2n − 1). We also show it is a cellular algebra over suitable rings. The Brauer algebra of type Dn is a homomorphic ring image and is also semisimple and free of the same rank, but over the ring Z[δ±1]. A r...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1994
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/27/17/022