Elliptic Singularities, θ-Puzzle and Domain Walls

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 25 pages, 4 encapsulated postscript figures, 1 reference added

Scientific paper

10.1016/S0550-3213(98)00099-6

We study N=1 four dimensional gluodynamics in the context of M-theory compactifications on elliptically fibered Calabi-Yau fourfolds. Gaugino condensates, \theta-dependence, Witten index and domain walls are considered for singularities of type $\hat{A}_{n-1}$ and $\hat{D}_{n+4}$. It is shown how the topology of intersections among the irreducible components defining the singular elliptic fiber, determine the entanglement of vacua and the appareance of domain walls.

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