Dynamical actions and q-representation theory for double-scaled SYK
A bstract We show that DSSYK amplitudes are reproduced by considering the quantum
mechanics of a constrained particle on the quantum group SU q (1, 1). We construct its left …
mechanics of a constrained particle on the quantum group SU q (1, 1). We construct its left …
Quantum exponentials for the modular double and applications in gravity models
TG Mertens - Journal of High Energy Physics, 2023 - Springer
A bstract In this note, we propose a decomposition of the quantum matrix group\({\textrm
{SL}} _q^{+}\)(2, ℝ) as (deformed) exponentiation of the quantum algebra generators of …
{SL}} _q^{+}\)(2, ℝ) as (deformed) exponentiation of the quantum algebra generators of …
Free-field representation of group element for simple quantum group
A Morozov, L Vinet - arXiv preprint hep-th/9409093, 1994 - arxiv.org
A representation of the group element (also known as``universal ${\cal T} $-matrix'') which
satisfies $\Delta (g)= g\otimes g $, is given in the form $$ g=\left (\prod_ {s …
satisfies $\Delta (g)= g\otimes g $, is given in the form $$ g=\left (\prod_ {s …
Non-standard quantum (1+ 1) Poincare group: a T-matrix approach
The Hopf algebra dual form for the non-standard uniparametric deformation of the (1+ 1)
Poincare algebra iso (1, 1) is deduced. In this framework, the quantum coordinates that …
Poincare algebra iso (1, 1) is deduced. In this framework, the quantum coordinates that …
Freeq-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group
After a preliminary review of the definition and the general properties of the homogeneous
spaces of quantum groups, the quantum hyperboloid qH and the quantum plane qP are …
spaces of quantum groups, the quantum hyperboloid qH and the quantum plane qP are …
Ordering relations for q-boson operators, continued fraction techniques and the q-CBH enigma
Ordering properties of boson operators have been very extensively studied, and q-
analogues of many of the relevant techniques have been derived. These relations have far …
analogues of many of the relevant techniques have been derived. These relations have far …
Finite-dimensional representations of the quantum group GLp, q (2) using the exponential map from Up, q (gl (2))
R Jagannathan, J Van der Jeugt - Journal of Physics A …, 1995 - iopscience.iop.org
Abstract Using the Fronsdal-Galindo formula for the exponential mapping from the quantum
algebra U p, q (gl (2)) to the quantum group GL p, q (2), we show how the (2j+ 1) …
algebra U p, q (gl (2)) to the quantum group GL p, q (2), we show how the (2j+ 1) …
Group field theory on 2-groups
F Girelli, M Laudonio, A Tanasa, P Tsimiklis - Physical Review D, 2023 - APS
Group field theories are quantum field theories built on groups. They can be seen as a tool
to generate topological state-sums or quantum gravity models. For four dimensional …
to generate topological state-sums or quantum gravity models. For four dimensional …
[图书][B] Stochastic processes and operator calculus on quantum groups
U Franz, R Schott - 2013 - books.google.com
This book aims to present several new developments on stochastic processes and operator
calculus on quantum groups. Topics which are treated include operator calculus, dual …
calculus on quantum groups. Topics which are treated include operator calculus, dual …
Kappa-Minkowski spacetime: Mathematical formalism and applications in Planck scale physics
A Pachoł - arXiv preprint arXiv:1112.5366, 2011 - arxiv.org
The dissertation presents possibilities of applying noncommutative spacetimes description,
particularly kappa-deformed Minkowski spacetime and Drinfeld's deformation theory, as a …
particularly kappa-deformed Minkowski spacetime and Drinfeld's deformation theory, as a …