Seminar series
Date
Mon, 03 Feb 2014
Time
12:00 -
13:00
Location
L5
Speaker
Johannes Schmude
Organisation
RIKEN
I this talk, I will discuss two entirely different classes of super Yang-Mills theories; the four dimensional SCFTs dual to AdS x Y where Y is Sasaki-Einstein, and five dimensional theories defined directly on such manifolds. What the two classes have in common is that they lend themselves to the application of Kohn-Rossi cohomology. Intuitively, one can think of this as an odd-dimensional relative of Dolbeault cohomology. Kohn-Rossi cohomology groups appear naturally when doing supergravity calculations of superconformal indices in the first class of theories or when calculating the partition functions of the latter using localisation. After a brief introduction to the relevant aspects of Sasaki-Einstein geometry, I will give an overview of both these applications.