Abstract
We give an overview of recent results on the classical and quantum superfield invariants of
= (1, 1), 6D supersymmetric Yang-Mills theory in the off-shell
= (1, 0) and on-shell
= (1, 1), 6D harmonic superspaces.
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References
- [1]Beisert N 2010 On Yangian Symmetry in Planar N = 4 SYM Preprint arXiv:1004.5423 [hep-th]
- [2]Dennen T and Huang Y 2011 Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes JHEP 1101 140 Preprint arXiv:1010.5874 [hep-th]
- [3]Tseytlin A A 1997 On non-abelian generalization of Born-Infeld action in string theory Nucl. Phys. B 501 41-52 Preprint hep-th/9701125
- [4]Frampton P H and Kephart T W 1983 Explicit Evaluation of Anomalies in Higher Dimensions Phys. Rev. Lett. 50 1343
- [5]Bern Z, Carrasco J J M, Dixon L J, Johansson H and Roiban R 2010 The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory Phys. Rev. D 82 125040 Preprint arXiv:1008.3327 [hep-th]
- [6]Berkovits N, Green M B, Russo J G and Vanhove P 2009 Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory JHEP 0911 063 Preprint arXiv:0908.1923 [hep-th]
- [7]Bjornsson J 2011 Multi-loop amplitudes in maximally supersymmetric pure spinor field theory JHEP 1101 002 Preprint arXiv:1009.5906 [hep-th]
- [8]Cederwall M 2013 Pure spinor superfields - an overview Preprint arXiv:1307.1762 [hep-th]
- [9]Howe P S, Stelle K S and West P C 1985 N = 1, d = 6 harmonic superspace Class. Quant. Grav. 2 815
- [10]Zupnik B M 1986 Six-dimensional Supergauge Theories in the Harmonic Superspace Sov. J. Nucl. Phys. 44 512
- [11]Galperin A S, Ivanov E A, Kalitzin S, Ogievetsky V I and Sokatchev E S 1984 Unconstrained N = 2 matter, Yang-Mills and supergravity theories in harmonic superspace Class. Quant. Grav. 1 469-498
- [12]Galperin A S, Ivanov E A, Ogievetsky V I and Sokatchev E S 2001 Harmonic Superspace (Cambridge University Press) 306
- [13]Bossard G, Ivanov E and Smilga A 2015 Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace JHEP 1512 085 Preprint arXiv:1509.08027 [hep-th]
- [14]Bossard G, Howe P S and Stelle K S 2009 The Ultra-violet question in maximally supersymmetric field theories 2009 Gen. Rel. Grav. 41 919 Preprint arXiv:0901.4661 [hep-th]
- [15]Buchbinder I L, Ivanov E A, Merzlikin B S and Stepanyantz K V 2016 One-loop divergences in the 6D, N = (1, 0) abelian gauge theory Phys. Lett. B 763 375-381 Preprint arXiv:1609.00975 [hep-th]
- [16]Buchbinder I L, Ivanov E A, Merzlikin B S and Stepanyantz K V 2017 One-loop divergences in 6D, N = (1, 0) SYM theory JHEP 1701 128 Preprint arXiv:1612.03190 [hep-th]
- [17]Buchbinder I L, Ivanov E A, Merzlikin B S and Stepanyantz K V 2017 Supergraph analysis of the one-loop divergences in 6D, N = (1, 0) and N = (1, 1) gauge theories Nucl. Phys. B 921 127-158 Preprint arXiv:1704.02530 [hep-th]
- [18]Howe P S, Sierra G and Townsend P K 1983 Supersymmetry in six dimensions Nucl. Phys. B 221 331-348
- [19]Ivanov E A, Smilga A V and Zupnik B M 2005 Renormalizable supersymmetric gauge theory in six dimensions Nucl. Phys. B 726 131-148 Preprint hep-th/0505082
- [20]Ivanov E A and Smilga A V 2006 Conformal properties of hypermultiplet actions in six dimensions Phys. Lett. B 637 374-381 Preprint hep-th/0510273
- [21]Howe P S and Stelle K S 1984 Ultraviolet Divergences in Higher Dimensional Supersymmetric Yang-Mills Theories Phys. Lett. B 137 175-180
- [22]Markus N and Sagnotti A 1984 A test of finiteness predictions for supersymmetric theories Phys. Lett. B 135 85-90
- [23]Buchbinder I L and Pletnev N G 2015 Construction of 6D supersymmetric field models in N = (1, 0) harmonic superspace Nucl. Phys. B 892 21-48 Preprint arXiv:1411.1848 [hep-th]
- [24]Buchbinder I L and Pletnev N G 2015 Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background Phys. Lett. B 744 125-130 Preprint arXiv:1502.03257 [hep-th]
= (1, 1), 6D SYM theory