Year: 2016
Type: book-chapter
Abstract: One can associate an invariant to a large class of regular codimension two defects of the six dimensional ( 0 , 2 ) (0,2) SCFT X [ j ] \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 N = 4 \mathcal {N}=4 SYM for arbitrary gauge group G G and by extension, a determination of certain local aspects of class S \mathcal {S} constructions. I point out that the problem of classifying the corresponding boundary conditions in N = 4 \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.
Author: Aswin Balasubramanian
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2963143753