PIRSA:14100067

Superconformal Indices, AdS/CFT, and Cyclic Homologies

Eager, R. (2014). Superconformal Indices, AdS/CFT, and Cyclic Homologies. Perimeter Institute. https://pirsa.org/14100067

Eager, Richard. Superconformal Indices, AdS/CFT, and Cyclic Homologies. Perimeter Institute, Oct. 16, 2014, https://pirsa.org/14100067 

          @misc{ pirsa_PIRSA:14100067,
            doi = {10.48660/14100067},
            url = {https://pirsa.org/14100067},
            author = {Eager, Richard},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Superconformal Indices, AdS/CFT, and Cyclic Homologies},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {oct},
            note = {PIRSA:14100067 see, \url{https://pirsa.org}}
          }

Richard Eager

University of Tokyo

Talk number
PIRSA:14100067
Collection
Talk Type
Subject
Abstract
We explain how to obtain the spectrum of operators with protected scaling dimensions in a four-dimensional superconformal field theory from cyclic homology. Additionally, we show that the superconformal index of a quiver gauge theory equals the Euler characteristic of the cyclic homology of the Ginzburg dg algebra associated to the quiver. For quiver gauge theories which are dual to type IIB string theory on the product of an arbitrary smooth Sasaki-Einstein manifold with five-dimensional AdS space, the index is calculated both from the gauge theory and gravity viewpoints. We find complete agreement. Finally we show how to match the spectrum of protected operators on a supergravity compactification involving generalized complex geometry.