Quantum corrections in 2D SUSY CPN-1 sigma model on noncommutative superspace

Journal of High Energy Physics

Volumn , Issue 1, 2006, Pages 2785-2794

  Araki, Kazutoshi ^a   Inami, Takeo ^a   Saito, Yorinori ^a   Nakajima, Hiroaki ^b  

^a CHUO UNIVERSITY   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Field Theories in Lower Dimensions; Sigma Models; Superspaces

Indexed keywords

EID: 33645509081     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/01/109     Document Type: Article

References (32)

1. S. Ferrara and M.A. Lledo, Some aspects of deformations of supersymmetric field theories 2000 J. High Energy Phys. JHEP05(2000)008 [hep-th/0002084]
2. D. Klemm, S. Penati and L. Tamassia, Non(anti)commutative superspace 2003 Class. Quantum Grav. 20 2905 [hep-th/0104190]
3. S. Ferrara, M.A. Lledo and O. Macia, Supersymmetry in noncommutative superspaces 2003 J. High Energy Phys. JHEP09(2003)068 [hep-th/0307039]
4. H. Ooguri and C. Vafa, The C-deformation of gluino and non-planar diagrams 2003 Adv. Theor. Math. Phys. 7 53 [hep-th/0302109]
5. H. Ooguri and C. Vafa, Gravity induced C-deformation 2004 Adv. Theor. Math. Phys. 7 405 [hep-th/0303063]
6. J. de Boer, P.A. Grassi and P. van Nieuwenhuizen, Non-commutative superspace from string theory 2003 Phys. Lett. B 574 98 [hep-th/0302078]
7. N. Seiberg, Noncommutative superspace, N Combining double low line 1/2 supersymmetry, field theory and string theory 2003 J. High Energy Phys. JHEP06(2003)010 [hep-th/0305248]
8. N. Berkovits and N. Seiberg, Superstrings in graviphoton background and N Combining double low line 1/2 + 3/2 supersymmetry 2003 J. High Energy Phys. JHEP07(2003)010 [hep-th/0306226]
9. M.T. Grisaru, S. Penati and A. Romagnoni, Two-loop renormalization for nonanticommutative N Combining double low line 1/2 supersymmetric WZ model 2003 J. High Energy Phys. JHEP08(2003)003 [hep-th/0307099]
10. R. Britto and B. Feng, N Combining double low line 1/2 Wess-Zumino model is renormalizable 2003 Phys. Rev. Lett. 91 201601 [hep-th/0307165]
11. A. Romagnoni, Renormalizability of N Combining double low line 1/2 Wess-Zumino model in superspace 2003 J. High Energy Phys. JHEP10(2003)016 [hep-th/0307209]
12. D. Berenstein and S.J. Rey, Wilsonian proof for renormalizability of N Combining double low line 1/2 supersymmetric field theories 2003 Phys. Rev. D 68 121701 [hep-th/0308049]
13. M. Alishahiha, A. Ghodsi and N. Sadooghi, One-loop perturbative corrections to non(anti)commutativity parameter of N Combining double low line 1/2 supersymmetric U(N) gauge theory 2004 Nucl. Phys. B 691 111 [hep-th/0309037]
14. I. Jack, D.R.T. Jones and L.A. Worthy, One-loop renormalisation of N Combining double low line 1/2 supersymmetric gauge theory 2005 Phys. Lett. B 611 199 [hep-th/0412009]
15. T. Araki, K. Ito and A. Ohtsuka, Supersymmetric gauge theories on noncommutative superspace 2003 Phys. Lett. B 573 209 [hep-th/0307076]
16. S. Terashima and J.T. Yee, Comments on noncommutative superspace 2003 J. High Energy Phys. JHEP12(2003)053 [hep-th/0306237]
17. n-1 models with quarks, 1979 Nucl. Phys. B 152 125
18. E. Cremmer and J. Scherk, The supersymmetric nonlinear sigma model in four-dimensions and its coupling to supergravity 1978 Phys. Lett. B 74 341
19. M.T. Grisaru, A.E.M. van de Ven and D. Zanon, Four loop beta function for the N Combining double low line 1 and N Combining double low line 2 supersymmetric nonlinear sigma model in two-dimensions 1986 Phys. Lett. B 173 423
20. L. Alvarez-Gaumé, D.Z. Freedman and S. Mukhi, The background field method and the ultraviolet structure of the supersymmetric nonlinear sigma model 1981 Ann. Phys. (NY) 134 85
21. L. Alvarez-Gaumé and D.Z. Freedman, Geometrical structure and ultraviolet finiteness in the supersymmetric sigma model 1981 Comm. Math. Phys. 80 443
22. A.Y. Morozov, A.M. Perelomov and M.A. Shifman, Exact Gell-Mann-Low function of supersymmetric Kähler sigma models 1984 Nucl. Phys. B 248 279
23. B. Chandrasekhar and A. Kumar, D Combining double low line 2, N Combining double low line 2, supersymmetric theories on non(anti)commutative superspace 2004 J. High Energy Phys. JHEP03(2004)013 [hep-th/0310137]
24. B. Chandrasekhar and A. Kumar, D Combining double low line 2, N Combining double low line 2 supersymmetric sigma models on non(anti)commutative superspace 2004 Phys. Rev. D 70 125003 [hep-th/0408184]
25. O.D. Azorkina, A.T. Banin, I.L. Buchbinder and N.G. Pletnev, Generic chiral superfield model on nonanticommutative N Combining double low line 1/2 superspace 2005 Mod. Phys. Lett. A 20 1423 [hep-th/0502008]
26. L. Alvarez-Gaumé and M.A. Vazquez-Mozo, On nonanticommutative N Combining double low line 2 sigma-models in two dimensions 2005 J. High Energy Phys. JHEP04(2005)007 [hep-th/0503016]
27. B. Chandrasekhar, D Combining double low line 2, N Combining double low line 2 supersymmetric sigma models on non(anti)commutative superspace 2004 Phys. Rev. D 70 125003 [hep-th/0408184]
28. B. Chandrasekhar, N Combining double low line 2 sigma-model action on non(anti)commutative superspace 2005 Phys. Lett. B 614 207 [hep-th/0503116]
29. n sigma model on noncommutative superspace, 2004 Prog. Theor. Phys. 111 961 [hep-th/0402137]
30. S. Aoyama and M. Tonin, The dimensional regularization of chiral gauge theories and generalized Slavnov-Taylor identities 1981 Nucl. Phys. B 179 293
31. K. Higashijima and M. Nitta, Kähler normal coordinate expansion in supersymmetric theories 2001 Prog. Theor. Phys. 105 243 [hep-th/0006027]
32. K. Higashijima, E. Itou and M. Nitta, Normal coordinates in Kähler manifolds and the background field method 2002 Prog. Theor. Phys. 108 185 [hep-th/0203081]