2026/07/16 by Naichung Conan Leung, Mengqi Yang
#hep-th #math-ph #math.MP #math.SG
Given a compact CY3 Y, its A-side (resp. B-side) universal intermediate Jacobian X (resp. X!) admits a natural hyperkahler structure. Both X and X! determines 3d Rozansky-Witten theories, in both A-model and B-model. We describe some surprising 3d mirror symmetry phenomena between X and X!. This includes (i) a 3d SYZ construction of X! from X via moduli of certain 3d A-branes in X constructed from Db( Y,Ω) with varying stability conditions given by \varpi ; (ii) The 3d B-brane on X!, constructed from varying Db( Y,Ω) with fixed \varpi , is realized as the 3d SYZ transformation of a cotangent fiber 3d A-brane in X. Under mirror symmetry between Y and Y\vee , the roles for X and % X! got interchanged. We also construct 3d A- and B-branes in X and X! via DT theory and discrete symmetries on Y and Y\vee .