Rigid Surface Operator and Symbol Invariant of Partitions
Abstract
The symbol is used to describe the Springer correspondence for the classical groups by Lusztig. We refine the explanation that the S-duality maps of the rigid surface operators are symbol preserving maps. And we find that the maps XS and YS used in the construction of S-duality maps are essentially the same. We clear up cause of the mismatch problem of the total number of the rigid surface operators between the Bn and Cn theories. And we construct all the Bn/Cn rigid surface operators which can not have a dual. A classification of the problematic surface operators is made.
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