Matter and singularities
By D. Morrison, Washington Taylor. 2011
152 citations recorded by the source corpus.
A bstractWe analyze the structure of matter representations arising from codimension two singularities in F-theory, focusing on gauge groups SU(N). We give a detailed local description of the geometry associated with several types of singularities and the associated matter representations. We also construct global F-theory models for 6D and 4D theories containing these matter representations. The codimension two singularities encountered include examples where the apparent Kodaira singularity type does not need to be completely resolved to produce a smooth Calabi-Yau, examples with rank enhancement by more than one, and examples where the 7-brane configuration is singular. We identify novel phase transitions, in some of which the gauge group remains fixed but the singularity type and associated matter content change along a continuous family of theories. Global analysis of 6D theories on ℙ2 with 7-branes wrapped on curves of small degree reproduces the range of 6D supergravity theories identified through anomaly cancellation and other consistency conditions. Analogous 4D models are constructed through global F-theory compactifications on ℙ3, and have a similar pattern of SU(N) matter content. This leads to a constraint on the matter content of a limited class of 4D supergravity theories containing SU(N) as a local factor of the gauge group.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e321149851c9fd91de167b19f59f60ba1f5dca62
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In Nuclear and High Energy Physics
- Thomas W. Grimm
- T. Weigand
- D. S. Park
- Chris Mayrhofer
- D. Morrison
- Eran Palti
- Washington Taylor
- Hirotaka Hayashi
Citations in the corpus
- Small resolutions of SU(5)-models in F-theory (2011, background): “When the singularities are more involved, already the second step (identification of the matter representation) can become delicate to handle[41].”
- G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, background): “This is because the non-abelian gauge groups, the matter spectrum and the Yukawa interactions of a model are in oneto-one correspondence with the singularities in the fibre of the Calabi-Yau four-fold over loci of, respectively, complex co-dimension one, two and three on the base (see [10] for a des”
- Classifying bases for 6D F-theory models (2012, background): “Recent progress in understanding codimension two singularities and associated matter content appears in [8, 35, 9, 36].”
- Anomaly equations and intersection theory (2011, background): “These contain information on the local matter we obtain [11, 12, 35, 36, 37, 38, 39, 40, 41].”
- Anomalies and the Euler characteristic of elliptic Calabi-Yau threefolds (2011, methodology): “The equivalence of these two approaches has not been checked in every case, but see [22, 23] for recent progress in this direction.”
- F-theory fluxes, chirality and Chern-Simons theories (2011, background): “An incomplete list of recent works on this subject includes [47, 48, 49].”