2025/10/31 by Aswin Balasubramanian, Jacques Distler, Balasubramanian, Aswin +5
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Homotopy and Cohomology in Algebraic Topology #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2510.27199
The Coulomb branch geometry of a 4d N=2 SCFT is encoded in the data of a complex integrable system. In class-S, this is the Hitchin System (of ADE type) on the punctured curves C on which we compactified from 6d to 4d. As we vary the complex structure of C, these fit together to form a (nontrivial!) bundle of Hitchin systems over the moduli space of complex structures of C (the ``conformal manifold'' of the family of SCFTs). We carry out that construction for type-D. Compared to the type-A case, the construction is much more complicated because of local constraints at the punctures. Those local constraints were studied in [1]. Here, we work out their implications for the global bundle of spectral (Seiberg-Witten) curves.