In the deterministic realm, both differential equations and symmetry generators are geometrical objects, behave properly under changes of coordinates; actually this property is essential to mak...

The appearance of quantum groups in conformal field theories is traced back to the Poisson-Lie symmetries of the classical chiral theory. A geometric quantization of the classical theory deforms the Poisson-Lie symmetries to the quantum group ones. This elucidates the fundamental role of chiral symmetries that quantum groups play in conformal models. As a byproduct, one obtains a more geometric...

In this work, we present for the first time general solution of temporal evolution equation arising from matching a conformally flat interior to Vaidya solution. This problem was articulated by Banerjee et al. (A. Banerjee, S. B. Dutta Choudhury, and Bidyut K. Bhui, Phys. Rev. D, 40 (670) 1989) in which they provided particular equation. simple exact has been widely utilized modeling dissipativ...