M5-Branes, D4-Branes and quantum 5D super-Yang-Mills

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Abstract

We revisit the relation of the six-dimensional (2,0) M5-brane Conformal Field Theory compactified on S1 to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D super-Yang-Mills contains a spectrum of soliton states that can be identified with the complete Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides evidence that the (2,0) theory on S1 is equivalent to 5D super-Yang-Mills with no additional UV degrees of freedom, suggesting that the latter is in fact a well-defined quantum theory and possibly finite.

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Lambert, N., Papageorgakis, C., & Schmidt-Sommerfeld, M. (2011). M5-Branes, D4-Branes and quantum 5D super-Yang-Mills. Journal of High Energy Physics, 2011(1). https://doi.org/10.1007/JHEP01(2011)083

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