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Tate form and weak coupling limits in F-theory

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Abstract

We consider the weak coupling limit of F-theory in the presence of non-Abelian gauge groups implemented using the traditional ansatz coming from Tate’s algorithm. We classify the types of singularities that could appear in the weak coupling limit and explain their resolution. In particular, the weak coupling limit of SU(n) gauge groups leads to an orientifold theory which suffers from conifold singulaties that do not admit a crepant resolution compatible with the orientifold involution. We present a simple resolution to this problem by introducing a new weak coupling regime that admits singularities compatible with both a crepant resolution and an orientifold symmetry. We also comment on possible applications of the new limit to model building. We finally discuss other unexpected phenomena as for example the existence of several non-equivalent directions to flow from strong to weak coupling leading to different gauge groups.

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Authors and Affiliations

  1. Department of Mathematics, Harvard University, Cambridge, MA, 02138, U.S.A.

    Mboyo Esole

  2. Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A.

    Mboyo Esole

  3. Taida Institute for Mathematical Science, National Taiwan University, Taipei, Taiwan

    Mboyo Esole

  4. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, Munich, Germany

    Raffaele Savelli

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  1. Mboyo Esole
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  2. Raffaele Savelli
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Correspondence to Raffaele Savelli.

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ArXiv ePrint: 1209.1633

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Esole, M., Savelli, R. Tate form and weak coupling limits in F-theory. J. High Energ. Phys. 2013, 27 (2013). https://doi.org/10.1007/JHEP06(2013)027

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