6 papers
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…
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…
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 to…
-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…
Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector
Liang Zhang
In this paper, we introduce a simple and efficient approach for the general reduction of one-loop integrals. Our method employs the introduction of an auxiliary vector and the iden…