87 citations · 153 across the 7 of their papers we have counts for
5 papers · 1 filter
Balanced metrics and noncommutative Kaehler geometry
Sergio Lukic
In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions on a Kahler manifold M. In this setup one interprets M as the…
Flux corrections to anomaly cancellation in M-theory on a manifold with boundary
Sergio Lukic, Gregory W. Moore
We show how the coupling of gravitinos and gauginos to fluxes modifies anomaly cancellation in M-theory on a manifold with boundary. Anomaly cancellation continues to hold, after a…
Numerical Calabi-Yau metrics
Michael R. Douglas, Robert L. Karp, Sergio Lukic +1
We develop numerical methods for approximating Ricci flat metrics on Calabi-Yau hypersurfaces in projective spaces. Our approach is based on finding balanced metrics, and builds on…
Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic
Michael R. Douglas, Robert L. Karp, Sergio Lukic +1
We develop an iterative method for finding solutions to the hermitian Yang-Mills equation on stable holomorphic vector bundles, following ideas recently developed by Donaldson. As…
Constraining the Kahler Moduli in the Heterotic Standard Model
Tomas L. Gomez, Sergio Lukic, Ignacio Sols
Phenomenological implications of the volume of the Calabi-Yau threefolds on the hidden and observable M-theory boundaries, together with slope stability of their corresponding vect…