Mathematical and Theoretical Physics Seminar: "Anomaly free SO(3), SO(5), and SO(6) gauge theories from F Theory"" "

Speaker Mboyo Esole, Harvard
Date: 2/9/2017
Time: 12:30 p.m.

464 Loomis


Physics and Mathematics

Event Type: Seminar/Symposium

Orthogonal groups in F Theory are delicate to define as they require a condition on the Mordell-Weil group of the generic  elliptic fiber to distinguish them from spin groups. Moreover, the orthogonal groups discussed in the literature  are SO (7+k) with k>0. In this talk, I will discuss the explicit construction of lower rank orthogonal groups in F Theory, classify their singular fibers and matter content in 4, 5, and 6 dimensional spacetimes.  I will also present the details of their  uplift from 5 to 6 dimensions, the cancellations of 6 dimensional anomalies and the structure of the Coulomb phases of the five dimensional theory. All this will be presented as an exercise in intersection theory using a new pushforward theorem for Chow rings of blowups.

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