منابع مشابه
A Quantum Goldman Bracket for Loops on Surfaces
In the context of (2+1)–dimensional gravity, we use holonomies of constant connections which generate a q–deformed representation of the fundamental group to derive signed area phases which relate the quantum matrices assigned to homotopic loops. We use these features to determine a quantum Goldman bracket (commutator) for intersecting loops on surfaces, and discuss the resulting quantum geometry.
متن کامل2 00 1 Poisson bracket , deformed bracket and gauge group actions in Kontsevich deformation quantization
We express the difference between Poisson bracket and deformed bracket for Kontsevich deformation quantization on any Poisson manifold by means of second derivative of the formality quasiisomorphism. The counterpart on star products of the action of formal diffeomorphisms on Poisson formal bivector fields is also investigated. Mathematics Subject Classification (2000) : 16S80, 53D17, 53D55, 58A50.
متن کامل0 Poisson bracket , deformed bracket and gauge group actions in Kontsevich deformation quantization
We express the difference between Poisson bracket and deformed bracket for Kontsevich deformation quantization on any Poisson manifold by means of second derivative of the formality quasiisomorphism. The counterpart on star products of the action of formal diffeomorphisms on Poisson formal bivector fields is also investigated. Mathematics Subject Classification (2000) : 16S80, 53D17, 53D55, 58A50.
متن کاملcomparison of the accuracy of bracket placement with height bracket positioning gauge and boone gauge
background and aims: to obtain maximum advantages from orthodontic fixed appliances and to achieve the desired final occlusion, correct bracket positioning is highly necessary. in order to measure and determine bracket’s height, diverse gauges have been used. the objective of the present study is to determine and compare bracket positioning accuracy by using height bracket positioning gauge (hb...
متن کاملConstant connections, quantum holonomies and the Goldman bracket
In the context of 2 + 1–dimensional quantum gravity with negative cosmological constant and topology R×T 2, constant matrix–valued connections generate a q–deformed representation of the fundamental group, and signed area phases relate the quantum matrices assigned to homotopic loops. Some features of the resulting quantum geometry are explored, and as a consequence a quantum version of the Gol...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2016
ISSN: 1029-8479
DOI: 10.1007/jhep02(2016)001