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

By N. Lambert, C. Papageorgakis, M. Schmidt-Sommerfeld. 2010

271 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ad690445fa6d10d3cab532c304f88f4718668173

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Citations in the corpus

The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere (2012, background): “The 5D theory is not perturbatively renormalizable, however the works [2, 3, 4] suggests arguments in favor of UV-finiteness of 5D supersymmetric Yang-Mills theory.”
On D = 5 super Yang-Mills theory and (2, 0) theory (2010, background): “I also thank Neil Lambert for sending me a prepublication copy of [18].”
Duality Symmetric String and M-Theory (2013, background): “l gauge theory and those of a two-dimensional CFT. Developing the theory of coincident M5 branes remains an important and active avenue of research, interesting recent work in this direction includes [227]. Nonetheless, for what remains of this report we will concern ourselves with just the low ener”
Twisted supersymmetric 5D Yang-Mills theory and contact geometry (2012, background): “However, see the recent works [4, 5] regarding the UV-completion of 5D maximal supersymmetric Yang-Mills theory.”
Supersymmetric gauge theories on the five-sphere (2012, background): “In [11, 12], it was proposed that the maximal SUSY 5d gauge theory describes the 6dN = (2, 0) SUSY conformal field theory compactified on a circle without introducing Kal uza-Klein degrees of freedom.”
On instantons as Kaluza-Klein modes of M5-branes (2011, background): “d point which is given by the 6d theory. The question whether the 5d theory is UV complete by its own, by perhaps including instantons and tensionless monopole strings, is currently a major challenge [5, 6, 7]. See also [8] for a recent study. In supersymmetric theories, there are nontrivial observa”
(1,0) superconformal models in six dimensions (2011, methodology): “ings at the cost of locality [27]. Furthermore, it was recently proposed that the (2,0) theory is identical to ﬁve-dimensional super Yang-Mills theory for arbitrary coupling or compactiﬁcation radius [28, 29]. It is not clear yet how one could obtain Yang-Mills theories in ﬁve dimensions from the mo”
Supersymmetry on curved spaces and holography (2012, background): “There exist intriguing conjectures, that maximally supersymmetric Yang-Mills in 5d, naively power-counting non-renormalisable as it is, might already itself be UV complete, if one includes the non-perturbative sector in the spectrum [34, 35].”
The (2, 0) superconformal bootstrap (2015, background): “ little-explored proposal, the A n (2;0) theory on R4 T2 (with a nite-size T2) can be \deconstructed" in terms of fourdimensional N= 2 quiver gauge theories [29]. Finally there is the suggestion [30,31] that vedimensional maximally supersymmetric Yang-Mills theory is a consistent quantum eld th”
5-dim superconformal index with enhanced En global symmetry (2012, methodology): “The instantons in 5d maximally supersymmetric theory play the role of Kaluza-Klein (KK) modes from a circle compactification of 6d (2, 0) theory and its mass is identified with KK momentum [11, 12, 13, 14, 15].”