PIRSA:07020007 Scientific Series Quantum Fields and Strings

DOI10.48660/07020007

Series: Quantum Fields and Strings

Butti, A. (2007). Counting BPS operators in CFTs with Sasaki-Einstein duals.. Perimeter Institute. https://pirsa.org/07020007

Butti, Agostino. Counting BPS operators in CFTs with Sasaki-Einstein duals.. Perimeter Institute, Feb. 27, 2007, https://pirsa.org/07020007 

@misc{ pirsa_PIRSA:07020007,
  doi = {10.48660/07020007},
  url = {https://pirsa.org/07020007},
  author = {Butti, Agostino},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Counting BPS operators in CFTs with Sasaki-Einstein duals.},
  publisher = {Perimeter Institute},
  year = {2007},
  month = {feb},
  note = {PIRSA:07020007 see, \url{https://pirsa.org}}
}

Abstract

After reviewing recent developments in the study of the AdS/CFT correspondence between the IR gauge theory living on a stack of D3-branes placed at a Calabi-Yau singularity and type IIB string theory on the near horizon geometry, we focus on the problem of counting chiral BPS operators in this class of CFTs and we match them with the dual string states in the general case of toric CY. Partition functions can be explicitly written in all sectors with fixed baryonic charge using localization over fixed points of the toric actions. These partition functions are related to the volume functions of the Sasaki-Einstein manifold and of its divisors.

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