SO（N）限制Schur多项式
SO(N) restricted Schur polynomials
摘要：
本文研究了具有SO（N）规范群的自由超Yang-Mills理论的1/4-BPS区。这个理论有一个AdS/CFT对偶，其形式为IIB型弦论，具有AdS_5 × RP ^[5]几何。为了研究激发巨引力子动力学，我们在这项工作中为规范理论的这一部分构造了一个正交基。首先，我们证明了计数的状态，所给出的配分函数，和计数的限制舒尔多项式匹配限制到一个特定的类的杨图标签。然后，我们给出了一个明确的建设这些规范不变的运营商和评估他们的两点功能。这为研究这类算子的谱问题及其D-膜的性质铺平了道路。
英文摘要：
We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT dual in the form of type IIB string theory with AdS_5 X RP^5 geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials matches by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals.
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