Abstract |
In this talk I will revist the geometric
engineering of five-dimensional
supersymmetric conformal field theories
(SCFTs) in M-theory after Intrilligator,
Morrison and Seiberg. This esablishes a
conjectural map assigning to each local
isolated Calabi-Yau three-fold
singularity a five-dimensional
superconformal field theory. Focusing on
the toric case, I will discuss
applications of IIA/M-theory fiberwise
duality to characterizing the possible
gauge theory phases of these systems.
This geometric setup clarifies the notion
of UV duality for such theories. Along
the way, I will provide a slightly
revised gauge theoretical expression for
the 5d prepotential, accounting correctly
for the 5d parity anomaly. Based on the
preprint arXiv:1812.10451, with Cyril
Closset and Vivek Saxena. |