25 citations · 63 across the 5 of their papers we have counts for
8 papers
Heisenberg and Drinfeld doubles of Uq(gl(1|1)) and Uq(osp(1|2)) super-algebras
Nezhla Aghaei, M. K. Pawelkiewicz
We study the Heisenberg double and the Drinfeld double of the Borel half of and of the when q is a root of unity. We also study the Borel half of Uq (…
Towards Super Teichmüller Spin TQFT
Nezhla Aghaei, M. K. Pawelkiewicz, Masahito Yamazaki
The quantization of the Teichmüller theory has led to the formulation of the so-called Teichmüller TQFT for 3-manifolds. In this paper we initiate the study of "supersymmetrization…
Integrable boundary conditions in the antiferromagnetic Potts model
Niall F. Robertson, Michal Pawelkiewicz, Jesper Lykke Jacobsen +1
We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine Lie algebra. Using the known relations betwee…
Heisenberg double and Drinfeld double of the quantum superplane
Nezhla Aghaei, Michal Pawelkiewicz
We study infinite dimensional generalisations of the Heisenberg doubles of the Borel half of and of and find associated canonical elements which satisf…
Combinatorial Quantisation of GL(1|1) Chern-Simons Theory I: The Torus
N. Aghaei, A. M. Gainutdinov, M. Pawelkiewicz +1
Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link…
Quantisation of super Teichmueller theory
Nezhla Aghaei, Michal Pawelkiewicz, Joerg Teschner
We construct a quantisation of the Teichmueller spaces of super Riemann surfaces using coordinates associated to ideal triangulations of super Riemann surfaces. A new feature is th…
The universal Racah-Wigner symbol for Uq(osp(1|2))
Michal Pawelkiewicz, Volker Schomerus, Paulina Suchanek
We propose a new and elegant formula for the Racah-Wigner symbol of self-dual continuous series of representations of Uq(osp(1|2)). It describes the entire fusing matrix for both N…
Self-dual Continuous Series of Representations for U_q(sl(2)) and U_q(osp(1|2))
Leszek Hadasz, Michal Pawelkiewicz, Volker Schomerus
We determine the Clebsch-Gordan and Racah-Wigner coefficients for continuous series of representations of the quantum deformed algebras U_q(sl(2)) and U_q(osp(1|2)). While our resu…