On nonanticommutative N = 2 sigma-models in two dimensions

Journal of High Energy Physics

Volumn , Issue 4, 2005, Pages 141-163

  Álvarez Gaumé, Luis ^a   Vázquez Mozo, Miguel A ^b  

^a CERN   (Switzerland)

^b UNIVERSITY OF SALAMANCA   (Spain)

Author keywords

Field Theories in Lower Dimensions; Non Commutative Geometry; Sigma Models; Superspaces

Indexed keywords

EID: 19344367610     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/04/007     Document Type: Article

References (50)

1. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory 2001 Rev. Mod. Phys. 73 977 [hep-th/0106048]
2. R.J. Szabo, Quantum field theory on noncommutative spaces 2003 Phys. Rep. 378 207 [hep-th/0109162]
3. 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]
4. A.C. Hirshfeld and P. Henselder, Deformation quantization for systems with fermions 2002 Ann. Phys. (NY) 302 59
5. A.C. Hirshfeld, P. Henselder and T. Spernat, Cliffordization, spin and fermionic star products 2004 Ann. Phys. (NY) 314 75 [quant-ph/0404168]
6. D. Klemm, S. Penati and L. Tamassia, Non(anti)commutative superspace 2003 Class. Quantum Grav. 20 2905 [hep-th/0104190]
7. S. Ferrara and M.A. Lledó, Some aspects of deformations of supersymmetric field theories 2000 J. High Energy Phys. JHEP05(2000)008 [hep-th/0002084]
8. S. Ferrara, M.A. Lledo and O. Maciá, Supersymmetry in noncommutative superspaces 2003 J. High Energy Phys. JHEP09(2003)068 [hep-th/0307039]
9. S. Terashima and J.-T. Yee, Comments on noncommutative superspace 2003 J. High Energy Phys. JHEP12(2003)053 [hep-th/0306237]
10. T. Araki, K. Ito and A. Ohtsuka, Supersymmetric gauge theories on noncommutative superspace 2003 Phys. Lett. B 573 209 [hep-th/0307076]
11. H. Ooguri and C. Vafa, Gravity induced C-deformation 2004 Adv. Theor. Math. Phys. 7 405 [hep-th/0303063]
12. 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]
13. 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]
14. R. Britto, B. Feng and S.-J. Rey, Non(anti)commutative superspace, UV/IR mixing and open wilson lines 2003 J. High Energy Phys. JHEP08(2003)001 [hep-th/0307091]
15. 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]
16. 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]
17. 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]
18. O. Lunin and S.-J. Rey, Renormalizability of non(anti)commutative gauge theories with N Combining double low line 1/2 supersymmetry 2003 J. High Energy Phys. JHEP09(2003)045 [hep-th/0307275]
19. 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]
20. 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]
21. A.T. Banin, I.L. Buchbinder and N.G. Pletnev, Chiral effective potential in N Combining double low line 1/2 non-commutative Wess-Zumino model 2004 J. High Energy Phys. JHEP07(2004)011 [hep-th/0405063]
22. 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]
23. R. Britto, B. Feng and S.-J. Rey, Deformed superspace, N Combining double low line 1/2 supersymmetry and (non)renormalization theorems 2003 J. High Energy Phys. JHEP07(2003)067 [hep-th/0306215]
24. E. Ivanov, O. Lechtenfeld and B. Zupnik, Nilpotent deformations of N Combining double low line 2 superspace 2004 J. High Energy Phys. JHEP02(2004)012 [hep-th/0308012]
25. T. Araki and K. Ito, Singlet deformation and non(anti)commutative N Combining double low line 2 supersymmetric U(1) gauge theory 2004 Phys. Lett. B 595 513 [hep-th/0404250]
26. S. Ferrara, E. Ivanov, O. Lechtenfeld, E. Sokatchev and B. Zupnik, Non-anticommutative chiral singlet deformation of N Combining double low line (1,1) gauge theory 2005 Nucl. Phys. B 704 154 [hep-th/0405049]
27. S.V. Ketov and S. Sasaki, Non-anticommutative N Combining double low line 2 supersymmetric SU(2) gauge theory, 2004 Phys. Lett. B 597 105 [hep-th/0405278]
28. E. Ivanov, O. Lechtenfeld and B. Zupnik, Non-anticommutative deformation of N Combining double low line (1,1) hypermultiplets 2005 Nucl. Phys. B 707 69 [hep-th/0408146]
29. T. Araki, K. Ito and A. Ohtsuka, Deformed supersymmetry in non(anti)commutative N Combining double low line 2 supersymmetric U(1) gauge theory 2005 Phys. Lett. B 606 202 [hep-th/0410203]
30. S. Ferrara and E. Sokatchev, Non-anticommutative N Combining double low line 2 super-Yang-Mills theory with singlet deformation 2004 Phys. Lett. B 579 226 [hep-th/0308021]
31. A. Imaanpur, On instantons and zero modes of N Combining double low line 1/2 SYM theory 2003 J. High Energy Phys. JHEP09(2003)077 [hep-th/0308171]
32. P.A. Grassi, R. Ricci and D. Robles-Llana, Instanton calculations for N Combining double low line 1/2 super Yang-Mills theory 2004 J. High Energy Phys. JHEP07(2004)065 [hep-th/0311155]
33. R. Britto, B. Feng, O. Lunin and S.-J. Rey, U(N) instantons on N Combining double low line 1/2 superspace: exact solution and geometry of moduli space 2004 Phys. Rev. D 69 126004 [hep-th/0311275]
34. P. Meessen and T. Ortin, Goedel spacetimes, abelian instantons, the graviphoton background and other flacuum solutions 2004 Nucl. Phys. B 684 235 [hep-th/0401005]
35. M. Billo, M. Frau, I. Pesando and A. Lerda, N Combining double low line 1/2 gauge theory and its instanton moduli space from open strings in RR background 2004 J. High Energy Phys. JHEP05(2004)023 [hep-th/0402160]
36. 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]
37. 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]
38. 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 [hep-th/0502008]
39. R. Haag, J.T. Łopuszański and M. Sohnius, All possible generators of supersymmetries of the s matrix 1975 Nucl. Phys. B 88 257
40. B. Zumino, Supersymmetry and kahler manifolds 1979 Phys. Lett. B 87 203
41. E. Witten and D.I. Olive, Supersymmetry algebras that include topological charges 1978 Phys. Lett. B 78 97
42. L. Alvarez-Gaumé and D.Z. Freedman, Ricci-flat Kähler manifolds and supersymmetry 1979 Phys. Lett. B 87 203
43. B. Zumino, Supersymmetry and Kähler manifolds 1979 Phys. Lett. B 87 203
44. L. Alvarez-Gaumé and D.Z. Freedman, Kähler geometry and the renormalization of supersymmetric sigma models 1980 Phys. Rev. D 22 846
45. L. Alvarez-Gaumé and D.Z. Freedman, Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model 1981 Comm. Math. Phys. 80 443
46. S.S. Gubser and S.L. Sondhi, Phase structure of non-commutative scalar field theories 2001 Nucl. Phys. B 605 395 [hep-th/0006119]
47. J. Ambjørn and S. Catterall, Stripes from (noncommutative) stars 2002 Phys. Lett. B 549 253 [hep-lat/0209106]
48. M. Chaichian and A. Kobakhidze, Deformed N Combining double low line 1 supersymmetry 2005 Phys. Rev. D 71 047501 [hep-th/0307243]
49. V. Nazaryan and C.E. Carlson, Field theory in noncommutative minkowski superspace 2005 Phys. Rev. D 71 025019 [hep-th/0410056]
50. T. Hatanaka, S.V. Ketov, Y. Kobayashi and S. Sasaki, Non-anti-commutative deformation of effective potentials in supersymmetric gauge theories [hep-th/0502026]