| Article | |
| Report number | CERN-TH-2016-252 ; MIT-CTP-4878 ; UCSB-MATH-2017-07 ; arXiv:1706.08194 |
| Title | Exotic matter on singular divisors in F-theory |
| Author(s) | Klevers, Denis ; Morrison, David R. ; Raghuram, Nikhil ; Taylor, Washington |
| Imprint | 2017-06-25. - 71 p. |
| Note | 71 pages |
| Subject category | hep-th ; Particle Physics - Theory |
| Abstract | We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-index and 3-index symmetric representations of SU($N$) and SU(2) respectively, associated with double and triple point singularities in the seven-brane locus. These matter representations are associated with Weierstrass models whose discriminants vanish to high order thanks to nontrivial cancellations possible only in the presence of a non-UFD algebraic structure. This structure can be described using the normalization of the ring of intrinsic local functions on a singular divisor. We consider the connection between geometric constraints on singular curves and corresponding constraints on the low-energy spectrum of 6D theories, identifying some new examples of apparent "swampland" theories that cannot be realized in F-theory but have no apparent low-energy inconsistency. |
| Copyright/License | License |
Corresponding record in: Inspire
Record creato 2017-06-27, modificato l'ultima volta il 2017-07-12
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