Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory
Fedele Lizzi, Sachindeo Vaidya, Patrizia Vitale
TL;DR
This paper demonstrates how quantum conformal invariance can be realized in a two-dimensional noncommutative space by twisting the algebra of creation and annihilation operators, leading to an infinite-dimensional quantum symmetry.
Contribution
It introduces a method to implement quantum conformal symmetry in noncommutative 2D quantum field theory through operator twisting.
Findings
Quantum conformal invariance achieved in 2D Moyal plane
Explicit realization of infinite-dimensional quantum algebra
Operator twisting modifies commutation relations
Abstract
By twisting the commutation relations between creation and annihilation operators, we show that quantum conformal invariance can be implemented in the 2-d Moyal plane. This is an explicit realization of an infinite dimensional symmetry as a quantum algebra.
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