Calculating the Superconformal Index and Seiberg Duality

Romelsburger, Christian (2007) Calculating the Superconformal Index and Seiberg Duality. (Preprint)

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Abstract

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×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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:46
Last Modified: 16 Jul 2018 10:07
URI: http://dair.dias.ie/id/eprint/497

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