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Chern-Simons Splitting of 2+1D Gauge Theories
Mathematical Physics · Submitted 26 Jun 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Analogous to the topologically massive AdS gravity model, both topologically massive Yang-Mills and pure Yang-Mills theories are shown to exhibit a Chern-Simons splitting behavior at large distances.
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Geometric quantization of topologically massive and pure Yang- Mills theories is studied in 2+1 dimensions. Analogous to the topologically massive AdS gravity model, both topologically massive Yang-Mills and pure Yang-Mills theories are shown to exhibit a Chern-Simons splitting behavior at large distances. It is also shown that, this large distance topological behavior can be further used to incorporate link invariants.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Geometric quantization of topologically massive and pure Yang- Mills theories is studied in 2+1 dimensions. | contribution 0.77 | 0.76 | 0.05 | asserted 0.85 |
| s1 | Analogous to the topologically massive AdS gravity model, both topologically massive Yang-Mills and pure Yang-Mills theories are shown to exhibit a Chern-Simons splitting behavior at large distances. | result 0.99 | 0.89 | 0.74 | asserted 1.00 |
| s2 | It is also shown that, this large distance topological behavior can be further used to incorporate link invariants. | result 0.70 | 0.88 | 0.23 | asserted 0.98 |
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Geometric quantization of topologically massive and pure Yang- Mills theories is studied in 2+1 dimensions. Analogous to the topologically massive AdS gravity model, both topologically massive Yang-Mills and pure Yang-Mills theories are shown to exhibit a Chern-Simons splitting behavior at large distances. It is also shown that, this large distance topological behavior can be further used to incorporate link invariants.
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