Chien‐Hao Liu

activity

19952025

most citedTarget Space Duality between Simple Compact Lie Groups and Lie Algebras under the Hamiltonian Formalism: I. Remnants of Duality at the Classical Level

22 citations · 221 across the 45 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

hep-th2014★ 7 cited

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- $C^{k}$ -schemes and Azumaya super- $C^{k}$ -manifolds with a fundamental module (or, synonymously, matrix super- $C^{k}$ -manifolds…

math.DG2014★ 10 cited

D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifolds

Chien-Hao Liu, Shing-Tung Yau

We consider D-branes in string theory and address the issue of how to describe them mathematically as a fundamental object (as opposed to a solitonic object) of string theory in th…