分解Orbifold上旋量-向量对偶的发现
Uncovering a Spinor-Vector Duality on a Resolved Orbifold
摘要：
旋量-矢量对偶性已经在各种精确的弦实现中建立起来，如轨道折叠和自由费米子结构。本文的目的是研究在杂化弦的背景下光滑几何上具有旋量-向量对偶的可能性。作为一个具体的工作例子的决议的T4/Z2 orbifold被认为是与一个额外的圆支持威尔逊线，它是已知的，基本orbifold理论表现出这样的对偶性，通过开关的广义离散扭转相位之间的orbifold扭曲和威尔逊线。根据这个相位，扭曲扇区轨道折叠态的互补部分被投影出来，使得不同的爆破模式可用于产生分辨率。因此，不仅对偶对的谱是不同的，而且规范群也不相同，使得这种对偶性在爆破上不太明显，因此一般来说可能在光滑几何上也不太明显。
英文摘要：
Spinor-vector dualities have been established in various exact string realisations like orbifold and free fermionic constructions. This paper aims to investigate possibility of having spinor-vector dualities on smooth geometries in the context of the heterotic string. As a concrete working example the resolution of the T4/Z2 orbifold is considered with an additional circle supporting a Wilson line, for which it is known that the underlying orbifold theory exhibits such a duality by switching on/off a generalised discrete torsion phase between the orbifold twist and the Wilson line. Depending on this phase complementary parts of the twisted sector orbifold states are projected out, so that different blowup modes are available to generate the resolutions. As a consequence, not only the spectra of the dual pairs are different, but also the gauge groups are not identical making this duality less apparent on the blowup and thus presumably on smooth geometries in general.
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