On D = 5 super Yang-Mills theory and (2, 0) theory

By Michael R Douglas. 2010

339 citations recorded by the source corpus.

We discuss how D = 5 maximally supersymmetric Yang-Mills theory (MSYM) might be used to study or even to define the (2, 0) theory in six dimensions. It is known that the compactification of (2, 0) theory on a circle leads to D = 5 MSYM. A variety of arguments suggest that the relation can be reversed, and that all of the degrees of freedom of (2, 0) theory are already present in D = 5 MSYM. If so, this relation should have consequences for D = 5 SYM perturbation theory. We explore whether it might imply all orders finiteness, or else an unusual relation between the cutoff and the gauge coupling. S-duality of the reduction to D = 4 may provide nonperturbative constraints or tests of these options.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b5830109de0eb44159d9a5d7c21d610582cfdbd9

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

M5-Branes, D4-Branes and quantum 5D super-Yang-Mills (2010, methodology): “Reference [11] also includes arguments about the structure of divergences in 5D super-Yang-Mills.”
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”
(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”
On instantons as Kaluza-Klein modes of M5-branes (2011, background): “We find exact matches of these two calculations in some simple cases, which supports that the 5d theory compacfitied on a circle is S-duality invariant [7, 8, 19].”
The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere (2012, result): “Our calculation suggests that the perturbative partition function is well-defined and thus offering more support to the ideas advocated in [3, 4].”
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].”
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.”