Abstract
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.
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M. Aganagic, J. Park, C. Popescu and J.H. Schwarz, World-volume action of the M-theory five-brane, Nucl. Phys. B 496 (1997) 191 [hep-th/9701166] [SPIRES].
O. Aharony, M. Berkooz and N. Seiberg, Light-cone description of (2,0) superconformal theories in six dimensions, Adv. Theor. Math. Phys. 2 (1998) 119 [hep-th/9712117] [SPIRES].
N. Berkovits, M.B. Green, J.G. Russo and P. Vanhove, Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory, JHEP 11 (2009) 063 [arXiv:0908.1923] [SPIRES].
Z. Bern and A.G. Morgan, Massive loop amplitudes from unitarity, Nucl. Phys. B 467 (1996) 479 [hep-ph/9511336] [SPIRES].
Z. Bern, L.J. Dixon, D.C. Dunbar, M. Perelstein and J.S. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences, Nucl. Phys. B 530 (1998) 401 [hep-th/9802162] [SPIRES].
Z. Bern, J.J. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, The ultraviolet behavior of N = 8 supergravity at four loops, Phys. Rev. Lett. 103 (2009) 081301 [arXiv:0905.2326] [SPIRES].
Z. Bern, J.J. Carrasco, L.J. Dixon, unpublished.
J. Bjornsson and M.B. Green, 5 loops in 24/5 dimensions, JHEP 08 (2010) 132 [arXiv:1004.2692] [SPIRES].
G. Bossard, P.S. Howe and K.S. Stelle, On duality symmetries of supergravity invariants, JHEP 01 (2011) 020 [arXiv:1009.0743] [SPIRES].
A. Boyarsky, J.A. Harvey and O. Ruchayskiy, A toy model of the M5-brane: anomalies of monopole strings in five dimensions, Annals Phys. 301 (2002) 1 [hep-th/0203154] [SPIRES].
B. Collie and D. Tong, The partonic nature of instantons, JHEP 08 (2009) 006 [arXiv:0905.2267] [SPIRES].
J.M. Drummond, P.J. Heslop, P.S. Howe and S.F. Kerstan, Integral invariants in N = 4 SYM and the effective action for coincident D-branes, JHEP 08 (2003) 016 [hep-th/0305202] [SPIRES].
H. Elvang, D.Z. Freedman and M. Kiermaier, A simple approach to counterterms in N = 8 supergravity, JHEP 11 (2010) 016 [arXiv:1003.5018] [SPIRES].
M.B. Green, H. Ooguri and J.H. Schwarz, Nondecoupling of maximal supergravity from the superstring, Phys. Rev. Lett. 99 (2007) 041601 [arXiv:0704.0777] [SPIRES].
M. Henningson, Particles and strings in six-dimensional (2,0) theory, Comptes Rendus Physique 5 (2004) 1121 [SPIRES].
A. Kapustin and E. Witten, Electric-magnetic duality and the geometric Langlands program, hep-th/0604151 [SPIRES].
D.E. Kharzeev and E.M. Levin, D-instantons and multiparticle production in N = 4 SYM, JHEP 01 (2010) 046 [arXiv:0910.3355] [SPIRES].
N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, M5-branes, D4-branes and quantum 5D super-Yang-Mills, JHEP 01 (2011) 083 [arXiv:1012.2882] [SPIRES].
J.-C. Le Guillou and J. Zinn-Justin, Current physics sources and comments. Volume 7: Large-order behaviour of perturbation theory, North-Holland, Amsterdam (1990).
L.N. Lipatov, Divergence of the perturbation theory series and the quasiclassical theory, Sov. Phys. JETP 45 (1977) 216 [SPIRES].
L.N. Lipatov, A.P. Bukhvostov and E.I. Malkov, Large order estimates for perturbation theory of a Yang-Mills field coupled to a scalar field, Phys. Rev. D 19 (1979) 2974 [SPIRES].
P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field, Phys. Lett. B 398 (1997) 41 [hep-th/9701037] [SPIRES].
N. Seiberg, Five dimensional SUSY field theories, non-trivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [SPIRES].
N. Seiberg, Notes on theories with 16 supercharges, Nucl. Phys. Proc. Suppl. 67 (1998) 158 [hep-th/9705117] [SPIRES].
S.H. Shenker, Another length scale in string theory?, hep-th/9509132 [SPIRES].
S. Weinberg, Phenomenological Lagrangians, Physica A 96 (1979) 327 [SPIRES].
E. Witten, Some comments on string dynamics, hep-th/9507121 [SPIRES].
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Douglas, M.R. On D = 5 super Yang-Mills theory and (2, 0) theory. J. High Energ. Phys. 2011, 11 (2011). https://doi.org/10.1007/JHEP02(2011)011
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DOI: https://doi.org/10.1007/JHEP02(2011)011