A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spacelike κ-Poincaré dual Hopf algebra.
A WZW model based on a non-semi-simple group
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We present a conformal field theory which desribes a homogeneous four dimensional Lorentz-signature space-time. The model is an ungauged WZW model based on a central extension of the Poincar\'e algebra. The central charge of this theory is exactly four, just like four dimensional Minkowski space. The model can be interpreted as a four dimensional monochromatic plane wave. As there are three commuting isometries, other interesting geometries are expected to emerge via $O(3,3)$ duality.
citation-role summary
background 2
citation-polarity summary
years
2026 3verdicts
UNVERDICTED 3roles
background 2polarities
background 2representative citing papers
Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.
citing papers explorer
-
Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames
A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spacelike κ-Poincaré dual Hopf algebra.
-
Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant
Two-dimensional higher-spin gravity with vanishing cosmological constant contains an infinite collection of scalar fields with continuously increasing masses arising from the twisted coadjoint representation of an infinite-dimensional algebra.
-
Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group
Classification of 34 Haantjes structures on h4 Lie algebra yields three new integrable sigma models on H4 via deformation of the chiral model under solved integrability conditions.