N = 4 superparticle and super-Yang-Mills theory in USp (4) harmonic superspace

Nuclear Physics B

Volumn 802, Issue 1-2, 2008, Pages 208-246

  Buchbinder, I L ^a   Lechtenfeld, O ^b   Samsonov, I B ^b,c  

^a TOMSK STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^c NATIONAL RESEARCH TOMSK POLYTECHNIC UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46049114257     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.05.015     Document Type: Article

References (70)

1. Aharony O., Gubser S.S., Maldacena J.M., Ooguri H., and Oz Y. Large N field theories, string theory and gravity. Phys. Rep. 323 (2000) 183. hep-th/9905111
2. Gates S.J., Grisaru M.T., Roček M., and Siegel W. Superspace: Or One Thousand and One Lessons in Supersymmetry (1983), Benjamin/Cummings 548 p
3. Galperin A., Ivanov E., Ogievetsky V., and Sokatchev E. Harmonic superspace: Key to N = 2 supersymmetric theories. JETP Lett. 40 (1984) 912
4. Galperin A., Ivanov E., Kalitzin S., Ogievetsky V., and Sokatchev E. Unconstrained N = 2 matter, Yang-Mills and supergravity theories in harmonic superspace. Class. Quantum Grav. 1 (1984) 469
5. Galperin A., Ivanov E.A., Ogievetsky V., and Sokatchev E. Harmonic supergraphs. Green functions. Class. Quantum Grav. 2 (1985) 601
6. Galperin A., Ivanov E.A., Ogievetsky V., and Sokatchev E. Harmonic supergraphs. Feynman rules and examples. Class. Quantum Grav. 2 (1985) 617
7. Galperin A., Ivanov E., Kalitzin S., Ogievetsky V., and Sokatchev E. N = 3 Supersymmetric gauge theory. Phys. Lett. B 151 (1985) 215
8. Galperin A., Ivanov E., Kalitzin S., Ogievetsky V., and Sokatchev E. Unconstrained off-shell N = 3 supersymmetric Yang-Mills theory. Class. Quantum Grav. 2 (1985) 155
9. Galperin A., Ivanov E., Ogievetsky V., and Sokatchev E. Harmonic Superspace (2001), Cambridge Univ. Press, UK 306 p
10. Ahmed E., Bedding S., Card C.T., Dumbrell M., Nouri-Moghadam M., and Taylor J.G. On N = 4 supersymmetric Yang-Mills in harmonic superspace. J. Phys. A 18 (1985) 2095
11. Bandos I.A. Solution of linear equations in spaces of harmonic variables. Theor. Math. Phys. 76 (1988) 783
12. Bandos I.A. Solution of linear equations in spaces of harmonic variables. Teor. Mat. Fiz. 76 (1988) 169
13. Hartwell G.G., and Howe P.S. (N, p, q) harmonic superspace. Int. J. Mod. Phys. A 10 (1995) 3901. hep-th/9412147
14. Heslop P., and Howe P.S. On harmonic superspaces and superconformal fields in four dimensions. Class. Quantum Grav. 17 (2000) 3743. hep-th/0005135
15. Andrianopoli L., Ferrara S., Sokatchev E., and Zupnik B. Shortening of primary operators in N extended SCFT (4) and harmonic superspace analyticity. Adv. Theor. Math. Phys. 3 (1999) 1149. hep-th/9912007
16. Ferrara S., and Sokatchev E. Short representations of SU (2, 2 / N) and harmonic superspace analyticity. Lett. Math. Phys. 52 (2000) 247. hep-th/9912168
17. Drummond J.M., Heslop P.J., Howe P.S., and Kerstan S.F. Integral invariants in N = 4 SYM and the effective action for coincident D-branes. JHEP 0308 (2003) 016. hep-th/0305202
18. Sorokin D.P. Superbranes and superembeddings. Phys. Rep. 329 (2000) 1. hep-th/9906142
19. Casalbuoni R. The classical mechanics for Bose-Fermi systems. Nuovo Cimento A 33 (1976) 389
20. Pashnev A.I., and Volkov D.V. Supersymmetric Lagrangian for particles in proper time. Theor. Math. Phys. 44 (1980) 770
21. Pashnev A.I., and Volkov D.V. Supersymmetric Lagrangian for particles in proper time. Teor. Mat. Fiz. 44 (1980) 321
22. Brink L., and Schwarz J.H. Quantum superspace. Phys. Lett. B 100 (1981) 310
23. de Azcárraga J.A., and Lukierski J. Supersymmetric particles with internal symmetries and central charges. Phys. Lett. B 113 (1982) 170
24. Frydryszak A., and Lukierski J. N = 2 massive matter multiplet from quantization of extended classical mechanics. Phys. Lett. B 117 (1982) 51
25. de Azcárraga J.A., and Lukierski J. Supersymmetric particles in N = 2 superspace: Phase-space variables and Hamiltonian dynamics. Phys. Rev. D 28 (1983) 1337
26. Akulov V.P., Sorokin D.P., and Bandos I.A. Particle mechanics in harmonic superspace. Mod. Phys. Lett. A 3 (1988) 1633
27. Akulov V.P., Bandos I.A., and Sorokin D.P. Particle in harmonic N = 2 superspace. Sov. J. Nucl. Phys. 47 (1988) 724
28. Akulov V.P., Bandos I.A., and Sorokin D.P. Particle in harmonic N = 2 superspace. Yad. Fiz. 47 (1988) 1136-1146
29. Sorokin D.P., Tkach V.I., and Volkov D.V. Superparticles, twistors and Siegel symmetry. Mod. Phys. Lett. A 4 (1989) 901
30. Lusanna L., and Milewski B. N = 2 super-Yang-Mills and supergravity constraints from coupling to a supersymmetric particle. Nucl. Phys. B 247 (1984) 396
31. Shapiro J.A., and Taylor C.C. Superspace supergravity from the superstring. Phys. Lett. B 186 (1987) 69
32. Buchbinder I.L., and Samsonov I.B. N = 3 Superparticle model. arXiv: 0801.4907 [hep-th]
33. Fayet P. Spontaneous generation of massive multiplets and central charges in extended supersymmetric theories. Nucl. Phys. B 149 (1979) 137
34. Ferrara S., Savoy C.A., and Zumino B. General massive multiplets in extended supersymmetry. Phys. Lett. B 100 (1981) 393
35. Ivanov E., Kalitzin S., Ai Viet N., and Ogievetsky V. Harmonic superspaces and extended supersymmetry: The calculus of harmonic variables. J. Phys. A 18 (1985) 3433
36. Sokatchev E. An action for N = 4 supersymmetric selfdual Yang-Mills theory. Phys. Rev. D 53 (1996) 2062. hep-th/9509099
37. Ferrara S., and Sokatchev E. Superconformal interpretation of BPS states in AdS geometries. Int. J. Theor. Phys. 40 (2001) 935. hep-th/0005151
38. Ferrara S., and Sokatchev E. Conformal superfields and BPS states in AdS (4 / 7) geometries. Int. J. Mod. Phys. B 14 (2000) 2315. hep-th/0007058
39. Ferrara S., and Sokatchev E. Representations of (1, 0) and (2, 0) superconformal algebras in six-dimensions: Massless and short superfields. Lett. Math. Phys. 51 (2000) 55. hep-th/0001178
40. Ferrara S., and Sokatchev E. Universal properties of superconformal OPEs for 1/2 BPS operators in 3 ≤ D ≤ 6. New J. Phys. 4 (2002) 2. hep-th/0110174
41. Zupnik B.M. Chern-Simons D = 3, N = 6 superfield theory. Phys. Lett. B 660 (2008) 254. arXiv: 0711.4680 [hep-th]
42. Zupnik B.M. Chern-Simons theory in SO (5) / U (2) harmonic superspace. arXiv: 0802.0801 [hep-th]
43. Heslop P.J., and Howe P.S. A Note on composite operators in N = 4 SYM. Phys. Lett. B 516 (2001) 367. hep-th/0106238
44. Heslop P.J., and Howe P.S. OPEs and three-point correlators of protected operators in N = 4 SYM. Nucl. Phys. B 626 (2002) 265. hep-th/0107212
45. Eden B., and Sokatchev E. On the OPE of 1/2 BPS short operators in N = 4SCFT (4). Nucl. Phys. B 618 (2001) 259. hep-th/0106249
46. Arutyunov G., Dolan F.A., Osborn H., and Sokatchev E. Correlation functions and massive Kaluza-Klein modes in the AdS/CFT correspondence. Nucl. Phys. B 665 (2003) 273. hep-th/0212116
47. D'Hoker E., Heslop P., Howe P., and Ryzhov A.V. Systematics of quarter BPS operators in N = 4 SYM. JHEP 0304 (2003) 038. hep-th/0301104
48. Zumino B. Normal forms of complex matrices. J. Math. Phys. 3 (1962) 1055
49. Sokatchev E. Light cone harmonic superspace and its applications. Phys. Lett. B 169 (1986) 209
50. Sokatchev E. Harmonic superparticle. Class. Quantum Grav. 4 (1987) 237
51. Delduc F., Galperin A., and Sokatchev E. Lorentz harmonic (super)fields and (super)particles. Nucl. Phys. B 368 (1992) 143
52. Bandos I.A. Superparticle in Lorentz harmonic superspace. Sov. J. Nucl. Phys. 51 (1990) 906
53. Bandos I.A. Superparticle in Lorentz harmonic superspace. Yad. Fiz. 51 (1990) 1429
54. Bandos I.A. Spinor moving frame, M0-brane covariant BRST quantization and intrinsic complexity of the pure spinor approach. Phys. Lett. B 659 (2008) 388. arXiv: 0707.2336 [hep-th]
55. Bandos I.A. D = 11 massless superparticle covariant quantization, pure spinor BRST charge and hidden symmetries. Nucl. Phys. B 796 (2008) 360. arXiv: 0710.4342 [hep-th]
56. Grimm R., Sohnius M., and Wess J. Extended supersymmetry and gauge theories. Nucl. Phys. B 133 (1978) 275
57. Sohnius M.F. Bianchi identities for supersymmetric gauge theories. Nucl. Phys. B 136 (1978) 461
58. Sohnius M.F. Supersymmetry and central charges. Nucl. Phys. B 138 (1978) 109
59. Howe P., Stelle K.S., and Townsend P.K. Supercurrents. Nucl. Phys. B 192 (1981) 332
60. Howe P., Stelle K.S., and Townsend P.K. The relaxed hypermultiplet: An unconstrained N = 2 superfield theory. Nucl. Phys. B 214 (1983) 519
61. Buchbinder I.L., Kuzenko S.M., and Ovrut B.A. On the D = 4, N = 2 nonrenormalization theorem. Phys. Lett. B 433 (1998) 335. hep-th/9710142
62. Buchbinder I.L., Buchbinder E.I., and Kuzenko S.M. Non-holomorphic effective potential in N = 4SU (n) SYM. Phys. Lett. B 446 (1999) 216. hep-th/9810239
63. Buchbinder E.I., Buchbinder I.L., Ivanov E.A., Kuzenko S.M., and Ovrut B.A. Low-energy effective action in N = 2 supersymmetric field theories. Phys. Part. Nucl. 32 (2001) 641
64. Buchbinder I.L., and Ivanov E.A. Complete N = 4 structure of low-energy effective action in super-Yang-Mills theories. Phys. Lett. B 524 (2002) 208. hep-th/0111062
65. Buchbinder I.L., Ivanov E.A., and Petrov A.Yu. Complete low-energy effective action in N = 4 SYM: A direct N = 2 supergraph calculation. Nucl. Phys. B 653 (2003) 64. hep-th/0210241
66. Buchbinder I.L., and Pletnev N.G. Hypermultiplet dependence of one-loop low-energy effective action in the N = 2 superconformal theories. JHEP 0704 (2007) 096. hep-th/0611145
67. A.A. Tseytlin, Born-Infeld action, supersymmetry and string theory, in: M.A. Shifman (Ed.), The Many Faces of the Superworld, pp. 417-452, hep-th/9908105
68. Ivanov E.A., and Zupnik B.M. N = 3 supersymmetric Born-Infeld theory. Nucl. Phys. B 618 (2001) 3. hep-th/0110074
69. Buchbinder I.L., Ivanov E.A., Samsonov I.B., and Zupnik B.M. Scale invariant low-energy effective action in N = 3 SYM theory. Nucl. Phys. B 689 (2004) 91. hep-th/0403053
70. Delduc F., and McCabe J. The quantization of N = 3 super-Yang-Mills off-shell in harmonic superspace. Class. Quantum Grav. 6 (1989) 233