More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3

Abstract

We perform a systematic analysis on supersymmetric states in N=4 supersymmetric Yang-Mills theory (SYM) on R x S^3. We find a new set of 1/16 BPS equations and determine the precise configuration of the supersymmetric states by solving all 1/16 BPS equations when they are valued in Cartan subalgebra of a gauge group and the fermionic fields vanish. We also determine the number of supersymmetries preserved by the supersymmetric states varying the parameters of the BPS solutions. As a byproduct we present the complete set of such supersymmetric states in N=8 SYM on R x S^2 by carrying out dimensional reduction.

37 pages, v2: typos corrected, comments and Acknowledgements added

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Cited by in corpus (1)

• On BPS Strings in $\mathcal{N}=4$ Yang-Mills Theory