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A<sc>bstract</sc> We explore the T-duality web of 6D Heterotic Little String Theories, focusing on flavor algebra reducing deformations. A careful analysis of the full flavor algebra, including Abelian factors, shows that the flavor rank is preserved under T-duality. This suggests a new T-duality invariant in addition to the Coulomb branch dimension and the two-group structure constants. We also engineer Little String Theories with non-simply laced flavor algebras, whose appearance we attribute to certain discrete 3-form fluxes in M-theory. Geometrically, these theories are engineered in F-theory with non-Kähler favorable K3 fibers. This geometric origin leads us to propose that freezing fluxes are preserved across T-duality. Along the way, we discuss various exotic models, including two inequivalent Spin(32)/ℤ2models that are dual to the same E8× E8theory, and a family of self-T-dual models.
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This content will become publicly available on July 3, 2026
Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras
Abstract We provide a generalization of Jouanolou duality that is applicable to a plethora of situations.The environment where this generalized duality takes place is a new class of rings, that we introduce and call weakly Gorenstein rings.As a consequence, we obtain a new general framework to investigate blowup algebras.We use our results to study and determine the defining equations of the Rees algebra for certain families of ideals.
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- Award ID(s):
- 2201110
- PAR ID:
- 10633665
- Publisher / Repository:
- De Gruyter Brill
- Date Published:
- Journal Name:
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- ISSN:
- 0075-4102
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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