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Title:
Non-flat elliptically fibered Calabi-Yau threefolds in F/M-theory and phases of five-dimensional superconformal field theories
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Abstract:
The main subject of this talk are Calabi-Yau threefolds with certain type of canonical singularities. These can be viewed as genus one fibration with a section (elliptic) over a complex two-dimensional base. The elliptic fiber degenerates at codimension-one and two in the base, where codimension-two singularities are not of Kodaira type. I will then describe certain (crepant) resolutions of these singular Calabi-Yau threefolds, where the dimension of the fiber jumps at one point in the base, but the base remains unchanged. These geometric objects, once interpreted in F/M-theory, are relevant to study phases of five-dimensional superconformal field theories (5D SCFTs), enhanced global symmetries, and their relation to circle compactifications of 6D SCFTs. The geometric understanding of the enhanced global symmetries of the 5D SCFTs is also motivated by the study and classification of parabolic and wild/irregular Hitchin systems.
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