7 papers
Higgs-Demailly System and Positivity of Higgs Bundles
Liangdi Zhang
We prove that the Higgs-Demailly system on a compact Riemann surface admits a smooth admissible solution at its terminal parameter if and only if the Higgs bundle is H-ample. This…
Existence and geometry of Hermitian metrics with constant second scalar curvature
Liangdi Zhang
We study Hermitian metrics with constant second scalar curvature on compact manifolds. We first consider a Yamabe-type problem for the second Bismut scalar curvature within balance…
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…
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…
-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…
Solving arbitrary one-loop reduction via generating function
Tingfei Li, Yuekai Song, Liang Zhang
Recently, the concept of generating function has been employed in one-loop reduction. For one-loop integrals encompassing arbitrary tensor ranks and higher-pole contributions, the…