论文标题
M2-Brane SCFTS的二元性和调味索引
Dualities and flavored indices of M2-brane SCFTs
论文作者
论文摘要
我们研究了M2-branes在M理论中的各种猜想双重描述，包括ADHM，ABJ（M），BLG，离散量学理论和Chern-Simons（CS）理论，并通过详细分析了Suppastimemmetrictric的M2-Brane Scfts的几种新二重性。从索引的精确匹配中获得了本地运营商，库仑，希格斯和混合分支运算符以及二元组下的全球对称性的映射。此外，我们发现了$ u（n）$ adhm理论索引的库仑限制的封闭式表达式和任意$ n $的双箭量CS理论，并为带有trace $ n $的平面分区提出了精致的生成功能。对于Quiver CS理论，我们还找到了索引限制的无限和表达式，比原始表达式更有用。
We study various conjectural dual descriptions of a stack of M2-branes in M-theory including ADHM, ABJ(M), BLG, discrete gauge theories and quiver Chern-Simons (CS) theories and propose several new dualities of the M2-brane SCFTs by analyzing flavored supersymmetric indices in detail. The mapping of local operators, Coulomb, Higgs and mixed branch operators as well as global symmetries under the dualities are obtained from the precise matching of the indices. Furthermore, we find closed form expressions for the Coulomb limit of the indices of the $U(N)$ ADHM theory and the dual quiver CS theory for arbitrary $N$ and propose a refined generating function for plane partitions with trace $N$. For the quiver CS theories we also find an infinite-sum expression for the Higgs limit of the indices which is more useful than the original expression.
