922 citations · 7.2k across the 348 of their papers we have counts for
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Mirror Principle III
B. Lian, K. Liu, S. T. Yau
We generalize the theorems in {\it Mirror Principle I} and {\it II} to the case of general projective manifolds without the convexity assumption. We also apply the results to ballo…
Connectedness Of The Boundary In The AdS/CFT Correspondence
Edward Witten, S. -T. Yau
Let be a complete Einstein manifold of negative curvature, and assume that (as in the AdS/CFT correspondence) it has a Penrose compactification with a conformal boundary of…
The Einstein-Dirac-Maxwell Equations - Black Hole Solutions
Felix Finster, Joel Smoller, Shing-Tung Yau
In this summary article, we review and discuss the non-existence of stationary black hole solutions for the Einstein-Dirac-Maxwell equations.
The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Black Holes
Felix Finster, Joel Smoller, Shing-Tung Yau
We consider a static, spherically symmetric system of a Dirac particle in a classical gravitational and SU(2) Yang-Mills field. We prove that the only black-hole solutions of the c…
The Coupling of Gravity to Spin and Electromagnetism
Felix Finster, Joel Smoller, Shing-Tung Yau
The coupled Einstein-Dirac-Maxwell equations are considered for a static, spherically symmetric system of two fermions in a singlet spinor state. Stable soliton-like solutions are…
Asymptotic Form of Zero Energy Wave Functions in Supersymmetric Matrix Models
J. Froehlich, G. M. Graf, D. Hasler +2
We derive the power law decay, and asymptotic form, of SU(2) x Spin(d) invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of reduced (d+1)-dimensional sup…