Operators and vacua of N=1 field theories

Details Operators and vacua of N=1 field theories Operators and vacua of N=1 field theories

2009-12-17

arxiv.org/abs/0912.3444v1

Nuovo Cim.B125:905-914,2010

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure. To appear in Nuovo Cimento B for the Premio Nazionale "Sergio Fubini" 2008, CNS4 meeting INFN, 21 Sep 2009

Scientific paper

10.1393/ncb/i2010-10908-1

We review the idea of Hilbert Series as a tool to study the moduli space and the BPS operators of four dimensional N=1 supersymmetric field theories. We concentrate on the particular case of N=1 superconformal field theories living on N D3 branes at toric Calabi-Yau singularities. The main claim is: it is possible to write down explicit partition functions counting all the local BPS operators for generic N number of branes, and obtain important informations about the BPS operators, the moduli space and the dual geometry.

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