Lecturer: Dr. Ran Yacoby
Affiliation: Princeton University
Abstract:
I will discuss the recent application of the
conformal bootstrap program to
superconformal field theories (SCFTs) in
3d, focusing on maximally supersymmetric
theories. In particular, the constraints from
unitarity and crossing symmetry on the 4-
point function of the stress-tensor multiplet
can be implemented numerically, and lead
to stringent bounds on OPE coefficients
and operator dimensions. Moreover, in
these SCFTs it is possible to derive
relations between certain OPE coefficients
analytically. These relations are obtained
by restricting the operator algebra to the
cohomology of a certain supercharge, and
then solving the associativity constraints in
the resulting truncated algebra. We will see
that the numerical results are consistent
with the above analytic relations. In
addition, for the interacting SCFT that
constitutes the IR limit of O(3) maximally
supersymmetric Yang-Mills, the above
constraints are powerful enough to allow
for an explicit computation of 3-point
functions of 1/2-BPS operators.
Additional details of the upcoming Joint Seminars
in Theoretical High Energy Physics can be found
on the following link