Calculating the Superconformal Index and Seiberg Duality

Details Calculating the Superconformal Index and Seiberg Duality Calculating the Superconformal Index and Seiberg Duality

2007-07-25

arxiv.org/abs/0707.3702v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

We develop techniques to calculate an index for four dimensional superconformal field theories. This superconformal index is counting BPS operators which preserve only one supercharge. To calculate the superconformal index we quantize the field theory on S^3 X R and show that the twisted theory has an appropriate mass gap. This allows for the interactions to be switched off continuously without the superconformal index being changed. We test those techniques for theories which go through a non-trivial RG flow and for Seiberg dual theories. This leads to the conjecture of some group/number theoretical identities.

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