Construction of the Symbol Invariant of Partition

Abstract

Symbol is used to describe the Springer correspondence for the classical groups. We prove two structure theorems of symbol. We propose a construction of the symbol of the rigid partitions in the $B_n$, $C_n$, and $D_n$ theories. This construction is natural and consists of two basic building blocks. Using this construction, we give closed formulas of symbols for the rigid partitions in the $B_n,C_n$, and $D_n$ theories. One part of the closed formula is universal and other parts are determined by the specific theory. A comparison of between this closed formula and the old one is made. Previous results can be illustrated more clearly by this closed formula.

27 pages

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• Seiberg-Witten Theory and Random Partitions
• Gauge Theory, Ramification, And The Geometric Langlands Program
• Rigid Surface Operators
• Bound states in N = 4 SYM on T^3: Spin(2n) and the exceptional groups
• AGT conjecture and AFLT states: a complete construction
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Cited by in corpus (2)

• Invariants of rigid surface operators
• Invariants of partitions and representative elements