Constant connections, quantum holonomies and the Goldman bracket
نویسندگان
چکیده
منابع مشابه
Constant 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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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.
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ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 2005
ISSN: 1095-0761,1095-0753
DOI: 10.4310/atmp.2005.v9.n3.a2