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math.DG2025
First eigenvalue estimates on complete balanced Hermitian manifolds
Liangdi Zhang
We establish lower bounds for the first positive eigenvalue of the Laplace--de Rham operator on complete balanced Hermitian manifolds in terms of curvature of the Strominger--Bismu…
math.DG2025
Kählerness of compact Hermitian surfaces under semi-definite Strominger-Bismut-Ricci curvatures
Liangdi Zhang
We prove several Kählerness criteria for compact Hermitian surfaces under semi-definiteness assumptions on natural Ricci curvatures of the Strominger-Bismut connection. The key too…
hep-th2025
-Split of Form Factors via BCFW Recursion Relation
Liang Zhang
Recently, \cite{Cao:2025hio} demonstrated the -split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitu…