6D supersymmetry, projective superspace & 4D, N= 1 superfields

Journal of High Energy Physics

Volumn 2006, Issue 5, 2006, Pages

  James Gates Jr , S ^a   Penati, Silvia ^b   Tartaglino Mazzucchelli, Gabriele ^c  

^a University of Maryland   (United States)

^b UNIVERSITY OF MILANO BICOCCA   (Italy)

^c INFN SEZIONE DI MILANO BICOCCA   (Italy)

Author keywords

Extended supersymmetry; Field theories in higher dimensions; Superspaces; Supersymmetric gauge theory

Indexed keywords

EID: 84873538500     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/05/051     Document Type: Article

References (46)

1. S.J. Gates Jr. and S.V. Ketov, 2D (4,4) L hypermultiplets, I. Diversity for N = 4 models, Phys. Lett. B 418 (1998) 111 [hep-th/9504077].
2. S.J. Gates Jr., I. Linch, William Divine and J. Phillips, When superspace is not enough, hep-th/0211034.
3. N. Arkani-Hamed, T. Gregoire and J.G. Wacker, Higher dimensional supersymmetry in 4D superspace, JHEP 03 (2002) 055 [hep-th/0101233].
4. U. Lindström and M. Roček, New hyperkähler metrics and new supermultiplets, Commun. Math. Phys. 115 (1988) 21;
5. N = 2 super Yang-Mills theory in projective superspace, Commun. Math. Phys. 128 (1990) 191.
6. F. Gonzalez-Rey, M. Roček, S. Wiles, U. Lindström and R. von Unge, Feynman rules in N = 2 projective superspace, I. Massless hypermultiplets, Nucl. Phys. B 516 (1998) 426 [hep-th/9710250];
7. F. Gonzalez-Rey and R. von Unge, Feynman rules in N = 2 projective superspace, II. Massive hypermultiplets, Nucl. Phys. B 516 (1998) 449 [hep-th/9711135];
8. F. Gonzalez-Rey, Feynman rules in N = 2 projective superspace, III. Yang-Mills multiplet, hep-th/9712128.
9. S.M. Kuzenko, Projective superspace as a double-punctured harmonic superspace, Int. J. Mod. Phys. A 14 (1999) 1737 [hep-th/9806147].
10. A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, E. S. Sokatchev, JETP Lett 40 (1984) 912
11. ; A. S. Galperin, E. A. Ivanov, S. N. Kalitsyn, V. Ogievetsky, E. Sokatchev, Class. and Quant. Grav. 1 (1984) 469;
12. A.S. Galperin, E.A. Ivanov, V.I. Ogievetsky and E.S. Sokatchev, Harmonic superspace, Cambridge Univ. Pr., Cambridge UK, 2001, p. 306.
13. A. Galperin, NA. Ky and E. Sokatchev, Coinciding harmonic singularities in harmonic supergraphs, Mod. Phys. Lett. A 2 (1987) 33.
14. I.L. Buchbinder and S.M. Kuzenko, Comments on the background field method in harmonic superspace: non-holomorphic corrections in N = 4 SYM, Mod. Phys. Lett. A 13 (1998) 1623 [hep-th/9804168];
15. S.M. Kuzenko and I.N. McArthur, Effective action of N = 4 super Yang-Mills: N = 2 superspace approach, Phys. Lett. B 506 (2001) 140 [hep-th/0101127];
16. Hypermultiplet effective action: N = 2 superspace approach, Phys. Lett. B 513 (2001) 213 [hep-th/010512l];
17. Low-energy dynamics in N = 2 super QED: two-loop approximation, JHEP 10 (2003) 029 [hep-th/0308136];
18. S.M. Kuzenko, Self-dual effective action of N = 4 SYM revisited, JHEP 03 (2005) 008 [hep-th/0410128].
19. W. Siegel, Superfields in higher dimensional space-time, Phys. Lett. B 80 (1979) 220.
20. T. Kugo and P.K. Townsend, Supersymmetry and the division algebras, Nucl. Phys. B 221 (1983) 357;
21. P.S. Howe, G. Sierra and P.K. Townsend, Supersymmetry in six-dimensions, Nucl. Phys. B 221 (1983) 331;
22. J. Koller, A six-dimensional superspace approach to extended superfields, Nucl. Phys. B 222 (1983) 319.
23. N. Marcus, A. Sagnotti and W. Siegel, Ten-dimensional super symmetric Yang-Mills theory in terms of four-dimensional superfields, Nucl. Phys. B 224 (1983) 159.
24. S.J. Gates, M.T. Grisaru, M. Roček and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1-548 [hep-th/0108200].
25. B.B. Deo and S.J. Gates, Comments on nonminimal N=1 scalar multiplets, Nucl. Phys. B 254 (1985) 187.
26. S.J. Gates Jr., Why auxiliary fields matter: the strange case of the 4d, N = 1 super symmetric QCD effective action, II, Nucl. Phys. B 485 (1997) 145 [hep-th/9606109];
27. Why auxiliary fields matter: the strange case of the 4D, N = 1 supersymmetric QCD effective action, Phys. Lett. B 365 (1996) 132 [hep-th/9508153];
28. S.J. Gates Jr., M.T. Grisaru, M.E. Knutt-Wehlau, M. Roček and O.A. Solovev, N = 1 supersymmetric extension of the QCD effective action, Phys. Lett. B 396 (1997) 167 [hep-th/9612196].
29. S.M. Kuzenko and I. Linch, William Divine, On five-dimensional superspaces, JHEP 02 (2006) 038 [hep-th/0507176].
30. J. Grundberg and U. Lindström, Actions for linear multiplets in six-dimensions, Class, and Quant. Grav. 2 (1985) L33.
31. G. Tartaglino Mazzucchelli, Quantization of N = 1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories, Phys. Lett. B 599 (2004) 326 [hep-th/0404222].
32. M.T. Grisaru, A. Van Proeyen and D. Zanon, Quantization of the complex linear superfield, Nucl. Phys. B 502 (1997) 345 [hep-th/9703081];
33. S. Penati, A. Refolli, A. Van Proeyen and D. Zanon, The non-minimal scalar multiplet: duality, sigm.a-model, beta-function, Nucl. Phys. B 514 (1998) 460 [hep-th/9710166];
34. S. Penati and D. Zanon, The nonminimal scalar multiplet coupled to supersymmetric Yang-Mills, Phys. Lett. B 421 (1998) 223 [hep-th/9712137];
35. PA. Grassi, G. Policastro and M. Porrati, Notes on the quantization of the complex linear superfield, Nucl. Phys. B 597 (2001) 615 [hep-th/0010052].
36. I.L. Buchbinder and S.M. Kuzenko, Ideas and methods of supersymmetry and supergravity: or a walk through superspace, IOP, Bristol, UK, 1998.
37. S.J. Gates Jr. and S.M. Kuzenko, The CNM-hypermultiplet nexus, Nucl. Phys. B 543 (1999) 122 [hep-th/9810137];
38. S.J. Gates Jr., T. Hübsch and S.M. Kuzenko, CNM models, holomorphic functions and projective superspace C-maps, Nucl. Phys. B 557 (1999) 443 [hep-th/9902211];
39. S.J. Gates Jr. and S.M. Kuzenko, 4D N = 2 supersymmetric off-shell sigma models on the cotangent bundles of kaehler manifolds, Fortschr. Phys. 48 (2000) 115 [hep-th/9903013].
40. S.J. Gates Jr., M.T. Grisaru and S. Penati, Holomorphy, minimal homotopy and the 4D, N = 1 supersymmetric Bardeen-Gross-Jackiw anomaly terms, Phys. Lett. B 481 (2000) 397 [hep-th/0002045];
41. S.J. Gates Jr., M.T. Grisaru, M.E. Knutt, S. Penati and H. Suzuki, Supersymmetric gauge anomaly with general homotopic paths, Nucl. Phys. B 596 (2001) 315 [hep-th/0009192];
42. S.J. Gates Jr., M.T. Grisaru, M.E. Knutt and S. Penati, The superspace WZNW action for 4D, N = 1 supersymmetric QCD, Phys. Lett. B 503 (2001) 349 [hep-ph/0012301].
43. P.S. Howe, K.S. Stelle and P.C. West, N = 1 D = 6 harmonic superspace, Class, and Quant. Grav. 2 (1985) 815;
44. B.M. Zupnik, Six-dimensional supergauge theories in the harmonic superspace, Sov. J. Nucl. Phys. 44 (1986) 512.
45. E.A. Ivanov, A.V. Smilga and B.M. Zupnik, Renormalizable supersymmetric gauge theory in six dimensions, Nucl. Phys. B 726 (2005) 131 [hep-th/0505082].
46. S.J. Gates Jr., S. Penati and G. Tartaglino-Mazzucchelli, 6D supersymmetric nonlinear sigma-models in 4D, N = 1 superspace, hep-th/0604042.