First-quantized N=4 Yang-Mills

Journal of High Energy Physics

Volumn 2009, Issue 4, 2009, Pages

  Hatsuda, MacHiko ^a,b   Huang, Yu Tin ^c   Siegel, Warren ^c  

^a HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

^b Urawa University   (Japan)

^c STONY BROOK UNIVERSITY   (United States)

Author keywords

BRST quantization; Extended supersymmetry; Superspaces

Indexed keywords

EID: 67649610914     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/04/058     Document Type: Article

References (62)

1. F.A. Berends and W.T. Giele, 1988 Recursive Calculations for Processes with n Gluons, Nucl. Phys. B 306 759
2. F. Cachazo, P. Svrek and E. Witten, 2004 MHV vertices and tree amplitudes in gauge theory, J. High Energy Phys. JHEP09(2004)006 [hep-th/0403047]
3. R. Britto, F. Cachazo and B. Feng, 2005 New Recursion Relations for Tree Amplitudes of Gluons, Nucl. Phys. B 715 499 [hep-th/0412308]
4. R. Britto, F. Cachazo, B. Feng and E. Witten, 2005 Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory, Phys. Rev. Lett. 94 181602 [hep-th/0501052]
5. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Generalized unitarity for N=4 super-amplitudes, [0808.0491]
6. J.M. Drummond and J.M. Henn, All tree-level amplitudes in N=4 SYM, [0808.2475]
7. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, 1994 One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits, Nucl. Phys. B 425 217 [hep-ph/9403226]
8. Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, 1995 Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 59 [hep-ph/9409265]
9. Z. Bern, J.S. Rozowsky and B. Yan, 1997 Two-loop four-gluon amplitudes in N=4 super-Yang- Mills, Phys. Lett. B 401 273 [hep-ph/9702424]
10. Z. Bern, V. Del Duca, L.J. Dixon and D.A. Kosower, 2005 All non-maximally-helicity-violating one-loop seven-gluon amplitudes in N=4 super-Yang-Mills theory, Phys. Rev. D 71 045006 [hep-th/0410224]
11. R. Britto, F. Cachazo and B. Feng, 2005 Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills, Nucl. Phys. B 725 275 [hep-th/0412103]
12. Z. Bern, L.J. Dixon and D.A. Kosower, 2005 All next-to-maximally helicity-violating one-loop gluon amplitudes in N=4 super-Yang-Mills theory, Phys. Rev. D 72 045014 [hep-th/0412210]
13. Z. Bern et al., 2008 The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory, Phys. Rev. D 78 045007 [0803.1465]
14. L.F. Alday and J.M. Maldacena, 2007 Gluon scattering amplitudes at strong coupling, J. High Energy Phys. JHEP06(2007)064 [0705.0303]
15. J.M. Drummond, G.P. Korchemsky and E. Sokatchev, 2008 Conformal properties of four-gluon planar amplitudes and Wilson loops, Nucl. Phys. B 795 385 [0707.0243]
16. A. Brandhuber, P. Heslop and G. Travaglini, 2008 MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops, Nucl. Phys. B 794 231 [0707.1153]
17. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Hexagon Wilson loop = six-gluon MHV amplitude, [0803.1466]
18. N. Berkovits, 2000 Super-Poincaré covariant quantization of the superstring, J. High Energy Phys. JHEP04(2000)018 [hep-th/0001035]
19. N. Berkovits and B.C. Vallilo, 2000 Consistency of super-Poincaré covariant superstring tree amplitudes, J. High Energy Phys. JHEP07(2000)015 [hep-th/0004171]
20. N. Berkovits, 2004 Multiloop amplitudes and vanishing theorems using the pure spinor formalism for the superstring, J. High Energy Phys. JHEP09(2004)047 [hep-th/0406055]
21. N. Berkovits, 2006 Super-Poincaré covariant two-loop superstring amplitudes, J. High Energy Phys. JHEP01(2006)005 [hep-th/0503197]
22. Pure spinor formalism as an N=2 topological string, J. High Energy Phys. JHEP10(2005)089 2005 [hep-th/0509120]
23. N. Berkovits and C.R. Mafra, 2006 Some superstring amplitude computations with the non- minimal pure spinor formalism, J. High Energy Phys. JHEP11(2006)079 [hep-th/0607187]
24. N. Berkovits and N. Nekrasov, 2006 Multiloop superstring amplitudes from non-minimal pure spinor formalism, J. High Energy Phys. JHEP12(2006)029 [hep-th/0609012]
25. W. Siegel, 1989 Universal supersymmetry by adding (4+4)-dimensions to the light cone, Int. J. Mod. Phys. A 4 1827
26. A.R. Mikovic et al., 1990 Covariantly quantizable superparticles, Phys. Lett. B 235 106
27. K. Lee and W. Siegel, 2005 Conquest of the ghost pyramid of the superstring, J. High Energy Phys. JHEP08(2005)102 [hep-th/0506198]
28. K. Lee and W. Siegel, 2006 Simpler superstring scattering, J. High Energy Phys. JHEP06(2006)046 [hep-th/0603218]
29. G.G. Hartwell and P.S. Howe, 1995 (N, p, q) harmonic superspace, Int. J. Mod. Phys. A 10 3901 [hep-th/9412147]
30. P.S. Howe and G.G. Hartwell, 1995 A Superspace survey, Class. Quant. Grav. 12 1823
31. P. Heslop and P.S. Howe, 2000 On harmonic superspaces and superconformal fields in four dimensions, Class. Quant. Grav. 17 3743 [hep-th/0005135]
32. P.J. Heslop, 2002 Superfield representations of superconformal groups, Class. Quant. Grav. 19 303 [hep-th/0108235]
33. 5, Phys. Rev. D 67 066005 [hep-th/0211184]
34. M. Hatsuda and W. Siegel, 2008 Superconformal spaces and implications for superstrings, Phys. Rev. D 77 065017 [0709.4605]
35. A. Karlhede, U. Lindström and M. Roek, 1984 Selfinteracting tensor multiplets in N=2 superspace, Phys. Lett. B 147 297
36. U. Lindström and M. Roek, 1988 New hyperkähler metrics and new supermultiplets, Commun. Math. Phys. 115 21
37. U. Lindström and M. Roek, 1990 N=2 super Yang-Mills theory in projective superspace, Commun. Math. Phys. 128 191
38. F. Gonzalez-Rey, M. Roek, S. Wiles, U. Lindström and R. von Unge, 1998 Feynman rules in N=2 projective superspace. I: massless hypermultiplets, Nucl. Phys. B 516 426 [hep-th/9710250]
39. F. Gonzalez-Rey and R. von Unge, 1998 Feynman rules in N=2 projective superspace. II: massive hypermultiplets, Nucl. Phys. B 516 449 [hep-th/9711135]
40. F. Gonzalez-Rey, Feynman rules in N=2 projective superspace. III: yang- Mills multiplet, [hep-th/9712128]
41. F. Gonzalez-Rey and M. Roek, 1998 Nonholomorphic N=2 terms in N=4 SYM: 1-loop calculation in N=2 superspace, Phys. Lett. B 434 303 [hep-th/9804010]
42. A. Galperin, E. Ivanov, S. Kalitsyn, V. Ogievetsky and E. Sokatchev, 1985 N = 3 supersymmetric gauge theory, Phys. Lett. B 151 215
43. F. Delduc and J. McCabe, 1989 The quantization of N=3 super Yang-Mills off-shell in harmonic superspace, Class. Quant. Grav. 6 233
44. I.L. Buchbinder, O. Lechtenfeld and I.B. Samsonov, 2008 N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace, Nucl. Phys. B 802 208 [0804.3063]
45. R. Kallosh, The Effective Action of N=8 Supergravity, [0711.2108]
46. M. Hatsuda and K. Kamimura, 2001 Classical AdS superstring mechanics, Nucl. Phys. B 611 77 [hep-th/0106202]
47. W. Siegel, 1995 Supermulti - instantons in conformal chiral superspace, Phys. Rev. D 52 1042 [hep-th/9412011]
48. 5 σ-model, J. High Energy Phys. JHEP08(2007)011 [hep-th/0703282]
49. W. Siegel, 1993 Selfdual N=8 supergravity as closed N=2 (N=4) strings, Phys. Rev. D 47 2504 [hep-th/9207043]
50. W. Siegel, 1988 The superparticle revisited, Phys. Lett. B 203 79
51. S. Deser, 1987 Gravity from selfinteraction in a curved background, Class. Quant. Grav. 4 L99
52. A. Galperin, E. Ivanov, S. Kalitsyn, V. Ogievetsky and E. Sokatchev, 1984 Unconstrained N=2 Matter, Yang-Mills and Supergravity Theories in Harmonic Superspace, Class. Quant. Grav. 1 469
53. A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, 1984 Harmonic superspace: key to N=2 supersymmetry theories, JETP Lett. 40 912
54. A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, 1984 Pisma Zh. Eksp. Teor. Fiz. 40 155
55. A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, 1985 Harmonic Supergraphs. Green Functions, Class. Quant. Grav. 2 601
56. A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, 1985 Harmonic Supergraphs. Feynman Rules and Examples, Class. Quant. Grav. 2 617
57. F. David and R. Hong Tuan, 1985 A duality property of planar Feynman diagrams, Phys. Lett. B 158 435
58. W. Siegel, 1990 Space-me duality and random superstrings, Phys. Lett. B 252 558
59. N. Berkovits and J. Maldacena, 2008 Fermionic T-duality, Dual Superconformal Symmetry and the Amplitude/Wilson Loop Connection, J. High Energy Phys. JHEP09(2008)062 [0807.3196]
60. N. Beisert, R. Ricci, A.A. Tseytlin and M. Wolf, 2008 Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability, Phys. Rev. D 78 126004 [0807.3228]
61. J.M. Drummond, J. Henn, G.P. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory, [0807.1095]
62. U. Lindström, M. Roek, W. Siegel, P. van Nieuwenhuizen and A.E. van de Ven, 1990 On the covariant quantization of a first class superparticle, J. Math. Phys. 31 1761