Haitao Liu's research while affiliated with University of New Brunswick and other places

Publications (2)

Article
Full-text available
We consider the Yang-Mills flow on hyperbolic 3-space. The gauge connection is constructed from the frame-field and (not necessarily compatible) spin connection components. The fixed points of this flow include zero Yang-Mills curvature configurations, for which the spin connection has zero torsion and the associated Riemannian geometry is one of c...
Article
Full-text available
We analyze the $\delta=2$ Tomimatsu-Sato spacetime in the context of the proposed Kerr/CFT correspondence. This 4-dimensional vacuum spacetime is asymptotically flat and has a well-defined ADM mass and angular momentum, but also involves several exotic features including a naked ring singularity, and two disjoint Killing horizons separated by a reg...

Citations

... There are, however, natural situations in which manifolds with torsion enter. We refer, for example, to work on torsion-gravity [4,11,20,21,22,36,37,45], on hyper-Kähler with torsion supersymmetric sigma models [23,24,25,43], on string theory [29,32], on almost hypercomplex geometries [38], on spin geometries [33], on B-metrics [39,44], on contact geometries [1], on almost product manifolds [41], on non-integrable geometries [2,8], on the non-commutative residue for manifolds with boundary [46], on Hermitian and anti-Hermitian geometry [40], on CR geometry [17], on Einstein-Weyl gravity at the linearized level [16], on Yang-Mills flow with torsion [30], on ESK theories [14], on double field theory [31], on BRST theory [26], and on the symplectic and elliptic geometries of gravity [12]. ...