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Geometric Singularities and Enhanced Gauge Symmetries

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arxiv hep-th/9605200 v2 pith:A26KL3WN submitted 1996-05-29 hep-th

M. Bershadsky , K. Intriligator , S. Kachru , D.R. Morrison , V. Sadov , C. Vafa This is my paper · ORCID
classification hep-th
keywords gaugeheteroticsymmetrydimensionsenhancedenhancementsf-theoryperturbative
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Using ``Tate's algorithm,'' we identify loci in the moduli of F-theory compactifications corresponding to enhanced gauge symmetry. We apply this to test the proposed F-theory/heterotic dualities in six dimensions. We recover the perturbative gauge symmetry enhancements of the heterotic side and the physics of small $SO(32)$ instantons, and discover new mixed perturbative/non-perturbative gauge symmetry enhancements. Upon further toroidal compactification to 4 dimensions, we derive the chain of Calabi-Yau threefolds dual to various Coulomb branches of heterotic strings.

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Cited by 5 Pith papers

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