Speaker
Description
6D Little string theories (LSTs) are UV complete non-local theories that are decoupled from gravity with an intrinsic string scale. In this talk, I will revisit the properties of 6D (1,0) LSTs obtained from heterotic string compactifications on ALE spaces. So far, instantonic heterotic E8 × E8 theories are rarely visited due to the lack of the Lagrangian description, with the exception of a few cases explored by Aspinwall and Morrison as well as Blum and Intriligator. I will present the construction of novel heterotic E8 × E8 ALE instantonic theories using the 6D conformal matter approach. All LSTs have a continuous 2-group symmetry structure; the relevant group structure constants, combined with Coulomb and tensor branch data, provide matching criteria for those novel theories to be predicted as T-dual partners with the known Spin(32)/Z2 ALE instantonic LSTs from the theoretical perspective. Moreover, these predictions are proven by utilizing duality with the geometric engineering in F-theory, where the T-dual system is realized as the inequivalent elliptic fibration (nested elliptic K3 fibration) structure of the same geometry.
