3 papers
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…
hep-th2026
Topological Classification of Symmetry Breaking and Vacuum Degeneracy
Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim +1
We argue that a general system of scalar fields and gauge fields manifesting vacuum degeneracy induces a principal groupoid bundle over spacetime and that the pattern of spontaneou…
math.DG2025
Adjusted Connections I: Differential Cocycles for Principal Groupoid Bundles with Connection
Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim +1
We develop a new perspective on principal bundles with connection as morphisms from the tangent bundle of the underlying manifold to a classifying dg-Lie groupoid. This groupoid ca…