6D Heterotic Little String Theories(LSTs) are a subsector of every 6D SUGRA (with at least one tensor multiplet), after decoupling gravity. As such, while possessing usual QFT-like properties such as global symmetries, they also possess gravity-like properties such as T-duality, which makes them an interesting intermediate. Recently, a fruitful line of research has been to chart the landscape of T-dual LSTs, and establish certain invariants across this T-duality, which includes the 5D Coulomb branch dimension, and the 2-Group structure constants (mixed anomalies). In this talk, we will argue that the rank of the flavor algebra is another invariant across this duality. This involves using 6D anomaly cancellation conditions and carefully taking into account potential ABJ anomalies. We will then discuss some interesting novel LSTs with non-trivial flavor holonomies, focusing on their T-duality structure. Based on arXiv:2311.02168.
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