Branes, Calabi–Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E8 Theory
نویسندگان
چکیده
We consider compactifications of theN = 1, d = 6, E8 theory on tori to five, four, and three dimensions and learn about some properties of this theory. As a by-product we derive the SL(2,Z) duality of the N = 2, d = 4, SU(2) theory with Nf = 4. Using this theory on a D-brane probe we shed new light on the singularities of F-theory compactifications to eight dimensions. As another application we consider compactifications of F-theory, M-theory and the IIA string on (singular) Calabi-Yau spaces where our theory appears in spacetime. Our viewpoint leads to a new perspective on the nature of the singularities in the moduli space and their spacetime interpretations. In particular, we have a universal understanding of how the singularities in the classical moduli space of Calabi–Yau spaces are modified by worldsheet instantons to singularities in the moduli space of the corresponding conformal field theories. October, 1996
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