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arxiv: hep-th/0301125 · v3 · submitted 2003-01-17 · ✦ hep-th

Effective Actions near Singularities

classification ✦ hep-th
keywords actioneffectiveinvariantlinenearquantumsymmetryactions
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We study the heterotic string compactified on K3 x T^2 near the line T=U, where the effective action becomes singular due to an SU(2) gauge symmetry enhancement. By `integrating in' the light W^\pm vector multiplets we derive a quantum corrected effective action which is manifestly SU(2) invariant and non-singular. This effective action is found to be consistent with a residual SL(2,Z) quantum symmetry on the line T=U. In an appropriate decompactification limit, we recover the known SU(2) invariant action in five dimensions.

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