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Scientific article
Open access
English

Quantum Wilson surfaces and topological interactions

ContributorsChekeres, Olga
Published inJournal of High Energy Physics, vol. 1902, 030
Collection
  • Open Access - SCOAP3
Publication date2019
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 Dimensions
  • Topological Field Theories
  • Sigma Models
  • Wilson, 't Hooft and Polyakov loops
Citation (ISO format)
CHEKERES, Olga. Quantum Wilson surfaces and topological interactions. In: Journal of High Energy Physics, 2019, vol. 1902, p. 030. doi: 10.1007/JHEP02(2019)030
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Article (Published version)
Identifiers
ISSN of the journal1029-8479
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Creation03/04/2019 8:23:27 AM
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