Codimension two defects and the Springer correspondence
| Autor: | Balasubramanian, Aswin |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | One can associate an invariant to a large class of regular codimension two defects of the six dimensional $(0,2)$ SCFT $\mathscr{X}[j]$ using the classical Springer correspondence. Such an association allows a simple description of S-duality of associated Gaiotto-Witten boundary conditions in $\mathcal{N}=4$ SYM for arbitrary gauge group and by extension, a determination of certain local aspects of class $\mathcal{S}$ constructions. I point out that the problem of \textit{classifying} the corresponding boundary conditions in $\mathcal{N}=4$ SYM is intimately tied to possible symmetry breaking patterns in the bulk theory. Using the Springer correspondence and the representation theory of Weyl groups, I construct a pair of functors between the class of boundary conditions in the theory in the phase with broken gauge symmetry and those in the phase with unbroken gauge symmetry. Comment: 11pp, To appear in proceedings of String-Math 14 (Edmonton, Alberta) |
| Databáze: | arXiv |
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