Noncommutative gauge theories on D-branes in non-geometric backgrounds
Noncommutative gauge theories on D-branes in non-geometric backgrounds
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非几何背景下 D 膜的非交换规范理论
DOI：
10.1007/jhep09(2019)051
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发表时间：
2019
影响因子：
5.4
通讯作者：
R. Szabo
中科院分区：
文献类型：
--
作者：
C. Hull;R. Szabo
我们研究了由扭曲环面的 T 对偶性获得的非几何背景中的 D 膜世界体积上产生的非交换规范理论。我们重新审视三维 T 形折叠上 D 膜的低能有效描述，详细研究抛物线和椭圆形扭曲的情况。我们详细描述了解耦极限，并探索了开弦非几何的各种物理后果。非几何背景的T-对偶单性导致了在D-膜上导出的非交换杨-米尔斯理论的森田对偶单性。虽然抛物线扭曲从拓扑 T 对偶性中恢复了非交换主环面束的众所周知的例子，但椭圆扭曲给出了非几何环面纤维的非交换纤维振动的新例子。我们将这些考虑扩展到具有 R 通量的背景中的 D 膜，使用双倍几何公式，发现非几何背景和 D 膜规范理论都必然对双坐标有明确的依赖性，因此在时空中没有常规公式。
We investigate the noncommutative gauge theories arising on the worldvolumes of D-branes in non-geometric backgrounds obtained by T-duality from twisted tori. We revisit the low-energy effective description of D-branes on three-dimensional T-folds, examining both cases of parabolic and elliptic twists in detail. We give a detailed description of the decoupling limits and explore various physical consequences of the open string non-geometry. The T-duality monodromies of the non-geometric backgrounds lead to Morita duality monodromies of the noncommutative Yang-Mills theories induced on the D-branes. While the parabolic twists recover the well-known examples of noncommutative principal torus bundles from topological T-duality, the elliptic twists give new examples of noncommutative fibrations with non-geometric torus fibres. We extend these considerations to D-branes in backgrounds with R-flux, using the doubled geometry formulation, finding that both the non-geometric background and the D-brane gauge theory necessarily have explicit dependence on the dual coordinates, and so have no conventional formulation in spacetime.
T-对偶性和闭弦非交换（双）几何
影响因子：
5.4
作者：
D. Lüst
通讯作者：
D. Lüst