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Explore a mathematical physics seminar presentation delving into Little String Theories (LSTs) and their relationship with genus-one fibrations in Calabi-Yau threefolds. Learn about the fundamental concepts of 6D Supersymmetric quantum field theories and their unique T-duality property, which creates equivalence classes of theories yielding identical 5D effective theories when compactified on a circle. Discover how the search for T-dual LSTs corresponds to finding inequivalent genus-one fibrations in non-compact Calabi-Yau threefolds, with particular focus on theories containing 8 supercharges (Heterotic LSTs). Examine the geometric and field theory arguments supporting twisted T-dual theories, especially in cases where the genus-one fiber lacks a section, leading to a proposed new class of twisted T-duals without known geometric construction.
