21 citations · 96 across the 13 of their papers we have counts for
6 papers · 1 filter
On K3-Thurston 7-manifolds and their deformation space: A case study with remarks on general K3T and M-theory compactification
Chien-Hao Liu
M-theory suggests the study of 11-dimensional space-times compactified on some 7-manifolds. From its intimate relation to superstrings, one possible class of such 7-manifolds are t…
On the Global Structure of Some Natural Fibrations of Joyce Manifolds
Chien-Hao Liu
The study of fibrations of the target manifolds of string/M/F-theories has provided many insights to the dualities among these theories or even as a tool to build up dualities sinc…
On extremal transitions of Calabi-Yau threefolds and the singularity of the associated 7-space from rolling
Volker Braun, Chien-Hao Liu
M-theory compactification leads one to consider 7-manifolds obtained by rolling Calabi-Yau threefolds in the web of Calabi-Yau moduli spaces. The resulting 7-space in general has s…
Remarks on the Geometry of Wick Rotation in QFT and its Localization on Manifolds
Chien-Hao Liu, U. Miami-Physics
The geometric aspect of Wick rotation in quantum field theory and its localization on manifolds are explored. After the explanation of the notion and its related geometric objects,…
Topological Membrane Solitons and Loop Orders of Membrane Scatterings in M-theory
Chien-Hao Liu
Two topological issues on membranes in M-theory are studied: (1) Soliton is an important subject in M-theory. Under the framework of obstruction theory with the help from framed li…
Lorentz Surfaces and Lorentzian CFT --- with an appendix on quantization of string phase space
Chien-Hao Liu
The interest in string Hamiltonian system has recently been rekindled due to its application to target-space duality. In this article, we explore another direction it motivates. In…