论文标题
$ 2D $ $ \ MATHCAL {n} =（0,2）$ $ $ usp（2n）$ dualities $ dualities $ 2D $ \ $ \ MATHCAL {N} =（0,2）
Star-triangle type relations from $2d$ $\mathcal{N}=(0,2)$ $USp(2N)$ dualities
论文作者
论文摘要
受仪表/YBE通信的启发，本文从二元性$ 2D $ $ \ MATHCAL {n} =（0,2）$ $ $ usp（2n）$ supersympersymmetrictric Quiver仪表理论中得出了一些Star-Triangle类型关系。确切地说，我们研究了两种情况。第一种情况是Intrigator-Pouliot二重性$ 2D $ $ \ MATHCAL {n} =（0,2）$ $ usp（2n）$ Theories。该描述是针对$ n = 1,2,3,4,5 $明确执行的，也以$ n = 3k+2 $进行，这将情况概括为$ n = 2,5 $。对于$ n = 1 $，获得了三角形身份。对于$ n = 2,5 $，发现双重性的实现意味着星状关系类型（STR类型）的略有变化。值$ n = 3,4 $与非对称str的类似版本相关联。第二种情况是一种新的二元性，价格为$ 2D $ $ \ MATHCAL {n} =（0,2）$ $ $ $ usp（2n）$理论，其在反对称张量表示的情况下，这是由尺寸减少$ 4D $ $ $ $ \ $ \ $ \ $ \ mathcal {n} = 1 $ $ usp（2n）$ CSAUL CSAUKI-CSKI-SCHM KIBAL产生的。结果表明，这种双重性与任何$ n $值的三角形类型身份相关联。在所有情况下，玻尔兹曼的权重以及相互作用和归一化因子均被完全确定。最后，将我们的关系与文献中先前报道的关系进行了比较。
Inspired by the gauge/YBE correspondence this paper derives some star-triangle type relations from dualities in $2d$ $\mathcal{N}=(0,2)$ $USp(2N)$ supersymmetric quiver gauge theories. To be precise, we study two cases. The first case is the Intriligator-Pouliot duality in $2d$ $\mathcal{N}=(0,2)$ $USp(2N)$ theories. The description is performed explicitly for $N=1,2,3,4,5$ and also for $N=3k+2$, which generalizes the situation in $N=2,5$. For $N=1$ a triangle identity is obtained. For $N=2,5$ it is found that the realization of duality implies slight variations of a star-triangle relation type (STR type). The values $N=3,4$ are associated to a similar version of the asymmetric STR. The second case is a new duality for $2d$ $\mathcal{N}=(0,2)$ $USp(2N)$ theories with matter in the antisymmetric tensor representation that arises from dimensional reduction of $4d$ $\mathcal{N}=1$ $USp(2N)$ Csáki-Skiba-Schmaltz duality. It is shown that this duality is associated to a triangle type identity for any value of $N$. In all cases Boltzmann weights as well as interaction and normalization factors are completely determined. Finally, our relations are compared with those previously reported in the literature.
