Origin of pure spinor superstring

Journal of High Energy Physics

Volumn , Issue 5, 2005, Pages 1315-1334

  Aisaka, Yuri ^a   Kazama, Yoichi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

BSRST Symmetry; Space Time Symmetries; Superstrings and Hotorotic Strings

Indexed keywords

EID: 21444460922     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/05/046     Document Type: Article

References (62)

1. N. Berkovits, Super-Poincaré covariant quantization of the, superstring, JHEP 04 (2000) 018 hep-th/0001035.
2. N. Berkovits, Cohomology in the, pure spinor formalism for the, superstring, JHEP 09 (2000) 046 hep-th/0006003.
3. N. Berkovits, Multiloop amplitudes and vanishing theorems using the pure, spinor formalism for the, superstring JHEP 09 (2004) 047 [hep-th/0406055];
4. Covariant multiloop superstring amplitudes, Comptes Rendus Physique 6 (2005) 185 [hep-th/0410079].
5. 5 background, Nucl. Phys. B 596 (2001) 183 hep-th/0009168.
6. P. Ramond, Dual theory for free fermions, Phys. Rev. D 3 (1971) 24151;
7. A. Neveu and J.H. Schwarz, Factorizable dual model of pions, Nucl. Phys. B 31 (1971) 86.
8. M.H. Green and J. H. Schwarz, Supersymmetrical dual string theory, Nucl. Phys. B 181 (1981) 502;
9. Covariant description of superstrings, Phys. Lett. B 136 (1984) 367;
10. Properties of the covariant formulation of superstring theories, Nucl. Phys. B 243 (1984) 285.
11. J.M. Maldaeena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]
12. N. Borkovits and B. C. Vallilo, Consistency of super-Poincaré covariant superstring tree amplitudes, JHEP 07 (2000) 015 [hep-th/0004171];
13. N. Berkovits, Covariant quantization of the superstring, Int. J. Mod. Phys. A 16 (2001) 801 [hep-th/0008145];
14. Relating the RNS and pure spinor formalisms for the superstring, JHEP 08 (2001) 026 [hep-th/01042477];
15. Covariant quantization of the superparticle using pure spinors, JHEP 09 (2001) 016 [hep-th/0105050];
16. Conformal field theory for the superstring in a Ramond-Ramond plane, wave, background, JHEP 04 (2002); 037 [hep-th/0203248];
17. BRST cohomology and nonlocal conserved charges, JHEP 02 (2005) 060] [hep-hp/0409159];
18. 5 background, JHEP 03 (2005) 041 [hep-th/0411170];
19. N. Berkovits and O. Chandia, Lorentz invariance, of the, pure, spinor BRST cohomoloyy for the superstring, Phys. Lett. B 514 (2001) 394 [hep-th/0105149];
20. Massive, superstring vertex operator in d 10 superspace, JHEP 08 (2002) 040 [hep-th/0204121];
21. N. Berkovits and P.S. Howe, Ten-dimensional supergravity constraints from the, pure, spinor formalism for the superstring, Nucl. Phys. B 635 (2002) 75 [hep-th/0112160];
22. N. Berkovits and V. Pershin, Supersymmetric Born-Infeld from the pure, spinor formalism of the open superstring, JHEP 01 (2003) 023 [hep-th/0205154];
23. G. Trivedi, Correlation functions in Berkovits' purr, spinor formulation, Mod. Phys. Lett. A 17 (2002) 2239 [hep-th/0205217];
24. 5 background, JHEP 12 (2002) 042 [hep-th/0210064];
25. M. Chostomian, Ghost constraints and the, covariant quantization of the superparticle in ten dimensions, JHEP 02 (2004) 011 [hep-th/0212261];
26. I. Oda, Covariant matrix model of superparticle, in the, purr, spinor formalism, Mod. Phys. Lett. A 18 (2003) 1023 [hep-th/0302203];
27. 5 pure, spinor superstring, [JHEP 03] (2004) 0371 [hep-th/0307018];
28. M. Chesterman, On the cohomology and inner products of the, Berkovits superparticle and superstring, Nucl. Phys. B 703 (2004) 400 [hep-th/0404021];
29. O. Chandia and B.C. Vallilo, Conformal invariance of the pure, spinor superstring in a curved background, JHEP 04 (2004) 041 [hep-th/0401226];
30. S. Guttenberg, J. Knapp and M. Knapp, On the covariant quantization of type-II superstrings, JHEP 06 (2004) 030 [hep-th/0405007];
31. T. Oota, Comments on equations of motion for pure, spinors in even dimensions, [hep-th/411036].
32. N. Berkovits, ICTP lectures on covariant quantization of the, superstring, [hep-th/0209059].
33. P.A. Grassi, G. Policastro, M. Porrati and P. Van Nieuwenhuizen, Covariant quantization of superstrings without pure, spinor constraints, JHEP 10 (2002) 054 [hep-th/0112162];
34. P.A. Grassi, G. Policastro and P. van Nieuwenhuizen, The massless spectrum of covariant super-strings, JHEP 11 (2002) 001 [hep-th/0202123];
35. On the BRST cohomology of superstrings with/without pure spinors, Adv. Theor. Math. Phys. 7 (2003) 499 [hep-th/0206216];
36. The covariant quantum superstring and superparticle from their classical actions, Phys. Lett. B 553 (2003) 96 [hep-th/0209026];
37. Yang-Mills theory as an illustration of the covariant quantization of superstrings, [hep-th/0211095];
38. An introduction to the covariant quantization of superstrings, Class. and Quant. Gray. 20 (2003) S395 [hep-th/0302147;
39. The quantum super-tring as a WZNW model, Nucl. Phys. B 676 (2004) 43 [hep-th/0307056];
40. Superstrings and WZNW models, [hep-th/0402123];
41. P.A. Grassi and P. van Nieuwenhuizen, Gauging cosets, Nucl. Phys. B 702 (2004) 189 [hep-th/0403209];
42. N 4 superconformal symmetry for the covariant quantum superstring, Phys. Lett. B 610 (2005) 129 [hep-th/0408007];
43. P.A. Grassi and L. Tamassia, Vertex operators for closed superstrings, JHEP 07 (2004) 071 [hep-th/0405072];
44. L. Anguelova, P.A. Grassi and P. Vanhove, Covariant one-loop amplitudes in D 11, Nucl. Phys. B 702 (2004) 269 [hep-th/0408171];
45. P.A. Grassi and P. Vanhove, Topological M-theory from pure spinor formalism, [hep-th/0411167].
46. Y. Aisaka and Y. Kazama, A new first class algebra, homological perturbation and extension of pure spinor formalism for superstring, JHEP 02 (2003) 017 [hep-th/0212316].
47. Y. Aisaka, and Y. Kazama, Operator mapping between RNS and extended pure spinor formalisms for superstring, JHEP 08 (2003) 047 [hep-th/030522].
48. Y. Aisaka, and Y. Kazama, Relating Green-Schwarz and extended pure spinor formalisms by similarity transformation, JHEP 04 (2004) 070 [hep-th/0404141].
49. I. Oda and M. Tonin, On the Berkovits covariant quantization of gs superstring, Phys. Lett. B 520 (2001) 398 [hep-th/0109051];
50. On the b-antighost in the pure spinor quantization of superstrings, Phys. Lett. B 606 (2005) 218 [hep-th/0409052];
51. M. Matone, L. Mazzucato, I. Oda, D. Sorokin and M. Tonin, The superembedding origin of the Berkovits pure spinor covariant quantization of superstrings, Nucl. Phys. B 639 (2002) 182 [hep-th/0206104].
52. N. Berkovits and D.Z. Marchioro, Relating the Green-Schwarz and pure spinor formalisms for the superstring, JHEP 01 (2005)018 [hep-th/0412198].
53. S. Carlip, Heterotic string path integrals with the Green-Schwarz covariant action, Nucl. Phys. B 284 (1987) 365;
54. R. Kallosh and A. Y. Morozov, Green-Schwarz action and loop calculations for superstring, Int. J. Mod. Phys. A 3 (1988) 1943.
55. W. Siegel, Hidden local super-symmetry in the supersymmetric particle action, Phys. Lett. B 128 (1983) 397.
56. L. Brink and J.H. Schwarz, Quantum superspace, Phys. Lett. B 100 (1981) 310.
57. N. Berkovits, Covariant quantization of the supermembrane, JHEP 09 (2002) 051 [hep-th/0201151].
58. L. Anguelova, P.A. Grassi and I. Vanhove, Covariant one-loop amplitudes in D 11, Nucl. Phys. B 702 (2004) 269 [hep-th/0408171].
59. M. Henncaux and C. Teitelboim, Quantization of gauge, systems, Princeton University Press, 1992.
60. E. Cartan, Leçon sur la theorie, des spineurs , Hermann, Paris, 1937:
61. The theory of spinors, MIT Press, 1966.
62. M. Cederwall, B.E.W. Nilsson and D. Tsimpis, Spinorial cohomology and maximally supersymmetric theories, JHEP 02 (2002) 009 [hep-th/0110069].