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Topological boundary conditions in abelian Chern–Simons theory
Open accessAbstract
We study topological boundary conditions in abelian Chern-Simons theory and line operators confined to such boundaries. From the mathematical point of view, their relationships are described by a certain 2-category associated to an even integer-valued symmetric bilinear form (the matrix of Chern-Simons couplings). We argue that boundary conditions correspond to Lagrangian subgroups in the finite abelian group classifying bulk line operators (the discriminant group). We describe properties of boundary line operators; in particular we compute the boundary associator. We also study codimension one defects (surface operators) in abelian Chern-Simons theories. As an application, we obtain a classification of such theories up to isomorphism, in general agreement with the work of Belov and Moore. pi-strings-195
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Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
Cited by
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Banks, T., & Seiberg, N. (2011) · Physical Review D · doi:10.1103/physrevd.83.084019 · Cited by 898
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Barkeshli, M., Jian, C.-M., & Qi, X.-L. (2013) · Physical Review B · doi:10.1103/physrevb.87.045130 · Cited by 275
Metadata
- Authors
- Kapustin, A., & Saulina, N.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2011-04
- Volume
- 845
- Issue
- 3
- Pages
- 393-435
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2157494229
- Cited by
- 229
- References
- 1
- FWCI
- 7.22
- Type
- journal article
- Language
- en
- Open access
- green
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- Kapustin, A., & Saulina, N. (2011). Topological boundary conditions in abelian Chern–Simons theory. Nuclear Physics B. https://doi.org/10.1016/j.nuclphysb.2010.12.017
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