论文标题
BPS/CFT对应中的爆炸和PainlevéVI
Blowups in BPS/CFT correspondence, and Painlevé VI
论文作者
论文摘要
我们在存在表面和点状缺陷（爆炸）的情况下研究了四个维度超对称仪理论，并提出了与$ω$ -DEFORMATION参数不同值的身份相关的分区函数$（{\ varepsilon} _ {1} _ {1}，{\ varepsilon} _ {\ varepsilon} _ {2} _ {2}）$。结果，我们获得了O $。$ gamayun，n $。$。$。$。为此，我们阐明了painlevévi及其概括的准经典tau功能$τ_{pvi} $的概念。 We also make some remarks about the sphere partition functions, the boundary operator product expansion in the ${\mathcal{N}}=(4,4)$ sigma models related to four dimensional ${\mathcal{N}}=2$ theories on toric manifolds, discuss crossed instantons on conifolds, elucidate some aspects of the BPZ/KZ correspondence, and applications to量化。
We study four dimensional supersymmetric gauge theory in the presence of surface and point-like defects (blowups) and propose an identity relating partition functions at different values of $Ω$-deformation parameters $({\varepsilon}_{1}, {\varepsilon}_{2})$. As a consequence, we obtain the formula conjectured in 2012 by O$.$Gamayun, N$.$Iorgov, and O$.$Lysovyy, relating the tau-function $τ_{PVI}$ to $c=1$ conformal blocks of Liouville theory and propose its generalization for the case of Garnier-Schlesinger system. To this end we clarify the notion of the quasiclassical tau-function $τ_{PVI}$ of Painlevé VI and its generalizations. We also make some remarks about the sphere partition functions, the boundary operator product expansion in the ${\mathcal{N}}=(4,4)$ sigma models related to four dimensional ${\mathcal{N}}=2$ theories on toric manifolds, discuss crossed instantons on conifolds, elucidate some aspects of the BPZ/KZ correspondence, and applications to quantization.
