22 citations · 221 across the 45 of their papers we have counts for
12 papers · 1 filter
Physicists' , superspace-time and supersymmetric QFTs from a tower construction in complexified -graded -Algebraic Geometry and a purge-evaluation/index-contracting map
Chien-Hao Liu, Shing-Tung Yau
The complexified -graded -Algebraic Geometry aspect of a superspace(-time) in Sec.\,1 of D(14.1) (arXiv:1808.05011 [math.DG]) together with the…
Dynamics of D-branes II. The standard action --- an analogue of the Polyakov action for (fundamental, stacked) D-branes
Chien-Hao Liu, Shing-Tung Yau
We introduce a new action for D-branes that is to D-branes as the Polyakov action is to fundamental strings. This `standard action' is abstractly a…
More on the admissible condition on differentiable maps in the construction of the non-Abelian Dirac-Born-Infeld action
Chien-Hao Liu, Shing-Tung Yau
In D(13.1) (arXiv:1606.08529 [hep-th]), we introduced an admissible condition on differentiable maps from an Azumaya/matrix manifold $X^{\!…
Dynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first variation, and the equations of motion for D-branes --- with remarks on the non-Abelian Chern-Simons/Wess-Zumino term
Chien-Hao Liu, Shing-Tung Yau
In earlier works, D(1) (arXiv:0709.1515 [math.AG]), D(11.1) (arXiv:1406.0929 [math.DG]), D(11.2) (arXiv:1412.0771 [hep-th]), and D(11.3.1) (arXiv:1508.02347 [math.DG]), we have exp…
D-branes and Azumaya/matrix noncommutative differential geometry,II: Azumaya/matrix supermanifolds and differentiable maps therefrom -- with a view toward dynamical fermionic D-branes in string theory
Chien-Hao Liu, Shing-Tung Yau
In this Part II of D(11), we introduce new objects: super--schemes and Azumaya super--manifolds with a fundamental module (or, synonymously, matrix super--manifolds…
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…
Target Space Duality between Simple Compact Lie Groups and Lie Algebras under the Hamiltonian Formalism: I. Remnants of Duality at the Classical Level
Orlando Alvarez, Chien-Hao Liu
It has been suggested that a possible classical remnant of the phenomenon of target-space duality (T-duality) would be the equivalence of the classical string Hamiltonian systems.…