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hep-th2026
Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
Luigi Alfonsi, Hyungrok Kim, William G. A. Luciani
Sati and Schreiber [arXiv:2402.18473, arXiv:2512.12431] have proposed that charge quantisation in quantum field theory and string theory is governed by a homotopy type …
hep-th2026
Which Functions Admit a Positive Geometry? From Branch Cuts to String Amplitudes
Hyungrok Kim, Jonah Stalknecht
Positive geometry provides a geometric framework where physical observables are encoded as canonical forms associated to regions of kinematic space. In this paper we consider a gen…
hep-th2026
Integrability from Homotopy Algebras
Luigi Alfonsi, Leron Borsten, Mehran Jalali Farahani +3
Homotopy algebraic methods have become increasingly influential in studying field theories. We consider semi-holomorphic Chern-Simons theory and its relation with the principal chi…