Del Zotto Michele, Ohmori Kantaro
Department of Mathematics and Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden.
School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540 USA.
Ann Henri Poincare. 2021;22(7):2451-2474. doi: 10.1007/s00023-021-01018-3. Epub 2021 Feb 16.
We determine the 2-group structure constants for all the six-dimensional little string theories (LSTs) geometrically engineered in F-theory without frozen singularities. We use this result as a consistency check for T-duality: the 2-groups of a pair of T-dual LSTs have to match. When the T-duality involves a discrete symmetry twist, the 2-group used in the matching is modified. We demonstrate the matching of the 2-groups in several examples.
我们通过几何方式确定了在F理论中无冻结奇点情况下构造的所有六维小弦理论（LST）的2-群结构常数。我们将此结果用作T对偶性的一致性检验：一对T对偶LST的2-群必须匹配。当T对偶性涉及离散对称扭转时，匹配中使用的2-群会被修改。我们在几个例子中展示了2-群的匹配情况。
