Lecturer: Dr. Lorenzo Di Pietro
Affiliation: Department of Particle Physics and Astrophysics,
Weizmann Institute of Science
Abstract:
We consider 4d N=1 superconformal theories
on a cylinder. The partition function on this
geometry computes the superconformal
index, and can be obtained via the path
integral with time direction compactified on a
circle and periodic conditions for fermions.
We will use an effective field theory approach
to derive formulas for the asymptotics of such
partition functions in the limit of very large
circle and of very small circle. These limits are
completely fixed in terms of coefficients of
the Weyl anomaly (a,c). We will explain why
supersymmetry is a necessary condition in 4d
to establish these higher dimensional
analogues of classic results in 2d CFTs. Finally
we will discuss the extension to 6d and some
applications.
Additional details of the upcoming Joint Seminars
in Theoretical High Energy Physics can be found
on the following link.