Toroidal Compactification Without Vector Structure

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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50 pp.,harvmac

Scientific paper

10.1088/1126-6708/1998/02/006

Many important ideas about string duality that appear in conventional $\T^2$ compactification have analogs for $\T^2$ compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes associated with $Sp(n)$ gauge groups can arise from T-duality and how they can be interpreted in F-theory. We also, in an appendix, resolve a longstanding puzzle concerning the computation of $\Tr (-1)^F$ in four-dimensional supersymmetric Yang-Mills theory with gauge group SO(n).

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