Geometry of Higgs-branch superconformal primary bundles
Geometry of Higgs-branch superconformal primary bundles
复制标题
希格斯分支超共形初级束的几何结构
作者：
V. Niarchos
已知四维Higgs分支超共形初等数的两点函数和三点函数
N
=
2.
超共形场理论服从非重整化定理
N
=
2.
超共形流形。在这篇文章中，我们证明了一个更强有力的结论--Higgs-分支超共形初等的丛
N
=
2.
超共形流形具有平坦联络，或者等价地，希格斯分支超共形流形具有消失的Berry相。
N
=
2.
精确的边缘变形。这一表述与所提出的二维手征代数的刚性结构与四维Schur算子扇形之间的对应关系很好地吻合
N
=
2.
理论。我们还讨论了非重整化定理与受保护算子丛的曲率之间的一般相互作用，并给出了一个新的更简单的证明
1
/
2.
-四维空间中的BPS算子
N
=
4.
Sym理论认为不需要使用四维
T
T
∗
方程式。
It is known that the two- and three-point functions of Higgs-branch superconformal primaries in 4d
N
=
2
superconformal field theories obey nonrenormalization theorems on
N
=
2
superconformal manifolds. In this paper, we prove a stronger statement—that the bundles of Higgs-branch superconformal primaries over
N
=
2
superconformal manifolds are endowed with a flat connection or, equivalently, that Higgs-branch superconformal primaries have vanishing Berry phases under
N
=
2
exactly marginal deformations. This statement fits well with the proposed correspondence between the rigid structures of two-dimensional chiral algebras and the sector of Schur operators in four-dimensional
N
=
2
theories. We also discuss the general interplay between nonrenormalization theorems and the curvature of bundles of protected operators and provide a new simpler proof of the vanishing curvature of
1
/
2
-BPS operators in four-dimensional
N
=
4
SYM theory that does not require the use of the four-dimensional
t
t
∗
equations.