Non(anti)commutative N = (1, 1/2) supersymmetric U(1) gauge theory

Journal of High Energy Physics

Volumn , Issue 5, 2005, Pages 2071-2096

  Araki, Takeo ^a   Ito, Katsushi ^b   Ohtsuka, Akihisa ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Extended Supersymmetry; Non Commutative Geometry; Superspaces; Supersymmetric Effective Theories

Indexed keywords

EID: 21444436480     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/05/074     Document Type: Article

References (50)

1. J.H. Schwarz and P. Van Nieuwenhuizen, Speculations concerning a fermionic substructure, of space-time, Nuovo Cim. 34 (1982) 21.
2. D. Klemm, S. Penati and L. Tamassia, Non(anti)commutative superspace, Class. and Quant. Grav. 20 (2003) 2905 [hep-th/0104190];
3. S. Ferrara and M.A. Lledo, Some, aspects of deformations of supersymmetric field theories, JHEP 05 (2000) 008 [hep-th/0002084];
4. S. Ferrara, M.A. Lledo and O. Macia, Supersymmetry in noncommutative superspaces, JHEP 09 (2003) 068 [hep-th/0307039].
5. H. Ooguri and C. Vafa. The C-deformation of gluino and non-planar diagrams, Adv. Theor. Math. Phys. 7 (2003) 53 [hep-th/0302109];
6. Gravity induced C-deformation, Adv. Theor. Math. Phys. 7 (2003) 405 [hep-th/0303063].
7. N. Berkovits and N. Seiberg, Superstrings in graviphoton background and N = 1/2+3/2 supersymmetry, JHEP 07 (2003) 010 [hep-th/0306226].
8. J. de Boer, P.A. Grassi and P. van Nieuwenhuizen, Non-commutative superspace from string theory, Phys. Lett. B. 574 (2003) 98 [hep-th/0302078].
9. N. Seiberg, Noncommutative superspace, N = 1/2 supersymmetry, field theory and string theory, JHEP 06 (2003) 010 [hep-th/0305248].
10. T. Araki, K. Ito and A. Ohtsuka, Supersymmetric gauge theories on noncommutative superspace, Phys. Lett. B 573 (2003) 209 [hep-th/0307076].
11. R. Britto, B. Feng and S.-J. Rey, Deformed superspace, N = 1/2 supersymmetry and (non)renormalization theorems, JHEP 07 (2003) 067 [hep-th/0306215];
12. S. Terashima and J.T. Yee, Comments on noncommutative superspace, JHEP 12 (2003) 053 [hep-th/0306237];
13. M. Hatsuda, S. Iso and H. Umetsu, Noncommutative superspace, supermatrix and lowest Landau level, Nucl. Phys. B 671 (2003) 217 [hep-th/0306251];
14. R. Britto, B. Feng and S.-J. Rey, Non(anti)commutative superspace, UV/IR mixing and open Wilson lines, JHEP 08 (2003) 001 [hep-th/0307091];
15. M.T. Grisaru, S. Penati and A. Romagnoni, Two-loop renormalization for nonanticommutative N = 1/2 supersymmetric WZ model, JHEP 08 (2003) 003 [hep-th/0307099];
16. R. Britto and B. Feng, N = 1/2 Wess-Zumino model is renormalizable, Phys. Rev. Lett. 91 (2003) 201601 [hep-th/0307165];
17. A. Romagnoni, Renormalizability of N = 1/2 Wess-Zumino model in superspace, JHEP 10 (2003) 016 [hep-th/0307209];
18. O. Lunin and S.J. Rey, Renormalizability of non(anti)commutative gauge theories with N = 1/2 supersymmetry, JHEP 09 (2003) 045 [hep-th/0307275];
19. D. Berenstein and S.J. Rey, Wilsonian proof for renormalizability of N = 1/2 supersymmetric field theories, Phys. Rev. D 68 (2003) 121701 [hep-th/0308049];
20. M. Alishahiha, A. Ghodsi and N. Sadooghi, One-loop perturbative corrections to non(anti)commutativity parameter of N = 1/2 supersymmetric U(N) gauge theory, Nucl. Phys. B 691 (2004) 111 [hep-th/0309037];
21. 2, JHEP 07 (2004) 010 [hep-th/0403174];
22. A.T. Banin, I.L. Buchbinder and N.G. Pletnev, Chiral effective potential in N = 1/2 non-commutative Wess-Zumino model, JHEP 07 (2004) 011 [hep-th/0405063];
23. A. Sako and T. Suzuki, Recovery of full N = 1 supersymmetry in non(anti- )commutative superspace, JHEP 11 (2004) 010 [hep-th/0408226];
24. S. Penati and A. Romagnoni, Covariant quantization of N = 1/2 SYM theories and supergauge invariance, JHEP 02 (2005) 064 [hep-th/0412041];
25. O.D. Azorkina, A.T. Banin, I.L. Buchbinder and N.G. Pletnev, Generic chiral superfield model on nonanticommutative N = 1/2 superspace, hep-th/0502008;
26. T. Hatanaka, S.V. Ketov, Y. Kobayashi and S. Sasaki, Non-anti-commutative deformation of effective potentials in supersymmetric gauge theories, Nucl. Phys. B 716 (2005) 88 [hep-th/0502026];
27. M. Billo, M. Frau, F. Lonegro and A. Lerda, N = 1/2 quiver gauge theories from open strings with R-R fluxes, [hep-th/0502084].
28. A. Imaanpur, On instantons and zero modes of N = 1/2 SYM theory, JHEP 09 (2003) 077 [hep-th/0308171];
29. Comments on gluino condensates in N = 1/2 SYM theory, JHEP 12 (2003) 009 [hep-th/0311137];
30. P.A. Grassi, R. Ricci and D. Robles-Llana, Instanton calculations for N = 1/2 super Yang-Mills theory, JHEP 07 (2004) 065 [hep-th/0311155];
31. R. Britto, B. Feng, O. Lunin and S.-J. Rey, U(N) instantons on N = 1/2 superspace: exact solution and geometry of moduli space., Phys. Rev. D 69 (2004) 126004 [hep-th/0311275];
32. M. Billo, M. Frau, I. Pesando and A. Lerda, N = 1/2 gauge theory and its instanton moduli space, from open strings in R.R. background, JHEP 05 (2004) 023 [hep-th/0402160].
33. B. Chandrasekhar and A. Kumar, D = 2, N = 2, supersymmetric theories on non(anti)commutative superspace, JHEP 03 (2004) 013 [hep-th/0310137];
34. T. Inami and H. Nakajima, Supersymmetric CP(N) sigma model on noncommutative superspace, Prog. Theor. Phys. 111 (2004) 961 [hep-th/0402137];
35. B. Chandrasekhar, D = 2, N = 2 supersymmetric sigma models on non(anti)commutative superspace, Phys. Rev. D 70 (2004) 125003 [hep-th/0408184];
36. L. Alvarez-Gaumé and M.A. Vazquez-Mozo, On nonanticommutative N = 2 sigma-models in two dimensions, hep-th/0503016.
37. S. Ferrara and E. Sokatchev, Non-anticommutative N = 2 super- Yang-Mills theory with singlet deformation, Phys. Lett. B 579 (2004) 226 [hep-th/030802l];
38. S.V. Ketov and S. Sasaki, BPS-type equations in the non-anticommutative N = 2 supersymmetric U(1) gauge theory, Phys. Lett. B 595 (2004) 530 [hep-th/0404119];
39. Non-anticommutative N = 2 supersymmetric SU(2) gauge theory, Phys. Lett. B 597 (2004) 105 [hep-th/0405278];
40. SU(2) × U(1) non-anticommutative N = 2 supersymmetric gauge theory, hep-th/0407211.
41. E. Ivanov, O. Lechtenfeld and B. Zupnik, Nilpotent deformations of N = 2 superspace, JHEP 02 (2004) 012 [hep-th/0308012];
42. Non-anticommutative deformation of N = (1, 1) hypermultiplets, Nucl. Phys. B 707 (2005) 69 [hep-th/0408146].
43. T. Araki, K. Ito and A. Ohtsuka, Deformed supersymmetry in non(anti)commutative N = 2 supersymmetric U(1) gauge theory, Phys. Lett. B 606 (2005) 202 [hep-th/0410203].
44. T. Araki, K. Ito and A. Ohtsuka, N = 2 supersymmetric U(1) gauge theory in noncommutative harmonic superspace, JHEP 01 (2004) 046 [hep-th/0401012].
45. T. Araki and K. Ito, Singlet deformation and non(anti)commutative N = 2 supersymmetric U(1) gauge theory, Phys. Lett. B 595 (2004) 513 [hep-th/0404250].
46. S. Ferrara, E. Ivanov, O. Lechtenfeld, E. Sokatchev and B. Zupnik, Non-anticommutative chiral singlet deformation of N = (1, 1) gauge theory, Nucl. Phys. B 704 (2005) 154 [hep-th/0405049].
47. J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, 1992.
48. A. Galperin, E. Ivanov, V. Ogievetsky and E. Sokatchev, Harmonic superspace, Cambridge University Press, 2001.
49. B.M. Zupnik, The action of the supersymmetric N = 2 gauge theory in harmonic superspace, Phys. Lett. B 183 (1987) 175.
50. I.L. Buchbinder and I.B. Samsonov, Noncommutative N = 2 supersymmetric theories in harmonic superspace, Grav. Cosmol. 8 (2002) 17-30 [hep-th/0109130].