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Product Einstein Manifolds, Zeta-Function Regularization and the Multiplicative Anomaly
Addition multiplication Laplace symmetric Spaces the product space
2014/12/22
The global additive and multiplicative properties of Laplace type operators acting on irreducible rank 1 symmetric spaces are considered. The explicit form of the zeta function on product spaces and o...
Analytic torsion and L^2-torsion of compact locally symmetric manifolds
analytic torsion locally symmetric manifolds Spectral Theory
2012/4/18
In this paper we study the analytic torsion and the $L^2$-torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fundamental group whic...
Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror Symmetry
Calabi-Yau manifold Hermitian Yang-Mills instanton Mirror symmetry
2011/9/30
Abstract: We formulate six-dimensional Euclidean gravity as SU(4)=SO(6) Yang-Mills gauge theory. For that purpose we devise a six-dimensional version of the 't Hooft symbols which realizes the isomorp...
Local extendability of Einstein vacuum manifolds
Einstein vacuum manifolds Mathematical Physics
2011/8/24
Abstract: We focus in this article on local extendability properties of Einstein vacuum spacetimes. We prove in particular a geometric breakdown criterion localized in space and time in a transversal ...
Pluri-potential theory on Grauert tubes of real analytic Riemannian manifolds, I
Pluri-potential theory Grauert tubes analytic Riemannian manifolds
2011/8/24
Abstract: We develop analogues for Grauert tubes of real analytic Riemannian manifolds (M,g) of some basic notions of pluri-potential theory, such as the Siciak extremal function. The basic idea is to...
Quantization of 2-Plectic Manifolds
2-Plectic Manifolds quantization High Energy Physics - Theory
2011/7/27
Abstract: We describe an extension of the axioms of quantization to the case of 2-plectic manifolds. We show how such quantum spaces can be obtained as stable classical solutions in a zero-dimensional...
Cohomology and Hodge Theory on Symplectic Manifolds: II
Cohomology Hodge Theory Symplectic Manifolds: II
2010/12/24
We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in complex geometry. The...
Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds
Five-Brane Superpotentials Blow-Up Geometries SU(3) Structure Manifolds
2010/12/24
We investigate the dynamics of space-time filling five-branes wrapped on curves in heterotic and orientifold Calabi-Yau compactifications. We first study the leading N=1 scalar potential on the infini...
M-theory and Seven-Dimensional Inhomogeneous Sasaki-Einstein Manifolds
M-theory Seven-Dimensional Sasaki-Einstein Manifolds
2010/12/24
Seven-dimensional inhomogeneous Sasaki-Einstein manifolds $Y^{p,k}(KE_4)$ present a challenging example of AdS/CFT correspondence. At present, their field theory duals for $KE_4=\mathbb{CP}^2$ base ar...
Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds
Gromov Cauchy causal boundaries for Riemannian Finslerian Lorentzian manifolds
2010/12/21
Recently, the old notion of causal boundary for a spacetime V has been redened in a consistent way. The computation of this boundary @V on any standard conformally stationary spacetime V = R M, sug...
Condition of Prequantization
to Two-Dimensional Manifolds with Boundary
Weil's condition boundary prequantization
2007/8/15
2001Vol.35No.3pp.263-266DOI:
Condition of Prequantization
to Two-Dimensional Manifolds with Boundary
SHAO Ming-Xue2,3 and ZHU Zhong-Yuan1
1 Institute of Theoretical Phy...