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Quantum Wilson surfaces and topological interactions

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Published in Journal of High Energy Physics. 2019, vol. 1902, p. 030
Collection Open Access - SCOAP3
Abstract We introduce the description of a Wilson surface as a 2-dimensional topological quantum field theory with a 1-dimensional Hilbert space. On a closed surface, the Wilson surface theory defines a topological invariant of the principal G -bundle P → Σ. Interestingly, it can interact topologically with 2-dimensional Yang-Mills and BF theories modifying their partition functions. This gives a new interpretation of the results obtained in [1]. We compute explicitly the partition function of the 2-dimensional Yang-Mills theory interacting with a Wilson surface for the cases G = SU( N ) / ℤ m , G = Spin(4 l ) / (ℤ 2 ⊕ ℤ 2 ) and obtain a general formula for any compact connected Lie group.
Keywords Field Theories in Lower DimensionsTopological Field TheoriesSigma ModelsWilson, ’t Hooft and Polyakov loops
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arXiv: 1805.10992
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CHEKERES, Olga. Quantum Wilson surfaces and topological interactions. In: Journal of High Energy Physics, 2019, vol. 1902, p. 030. https://archive-ouverte.unige.ch/unige:114705

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Deposited on : 2019-03-04

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