论文标题
在矩阵型号及其$ q $ performations上
On matrix models and their $q$-deformations
论文作者
论文摘要
受BPS/CFT对应的激励，我们探索了经典的$β$β$ - 成型的Hermitean Matrix模型与$ Q $ Q $ formed的矩阵模型与3D $ \ MATHCAL {n} = 2 $ supersymmetricmmetricmmetric paguge在$ d^2^2 \ times_ $ dime_ {q} $ a $ $ s $ agaries y $ sumpersymmetricmmetric paguge上的参数我们获得的新颖结果是模型的相关器，以及在经典案例中的附加结果，该案例由生成函数的$ W $ - 代数表示。此外，我们还为字符的期望值获得了令人惊讶的简单表达式，这些字符概括了先前已知的结果。
Motivated by the BPS/CFT correspondence, we explore the similarities between the classical $β$-deformed Hermitean matrix model and the $q$-deformed matrix models associated to 3d $\mathcal{N}=2$ supersymmetric gauge theories on $D^2\times_{q}S^1$ and $S_b^3$ by matching parameters of the theories. The novel results that we obtain are the correlators for the models, together with an additional result in the classical case consisting of the $W$-algebra representation of the generating function. Furthermore, we also obtain surprisingly simple expressions for the expectation values of characters which generalize previously known results.
