Explaining the pure spinor formalism for the superstring

Journal of High Energy Physics

Volumn 2008, Issue 1, 2008, Pages

  Berkovits, Nathan ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Superstrings and heterotic strings; Topological strings

Indexed keywords

EID: 38949176845     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/01/065     Document Type: Article

References (39)

1. N. Berkovits, Super-Poincaré covariant quantization of the superstring 2000 J. High Energy Phys. JHEP04(2000)018 [hep-th/0001035]
2. D. Friedan, E.J. Martinec and S.H. Shenker, Conformal invariance, supersymmetry and string theory 1986 Nucl. Phys. B 271 93
3. N. Berkovits, Pure spinor formalism as an N = 2 topological string 2005 J. High Energy Phys. JHEP10(2005)089 [hep-th/0509120]
4. rd Jerusalem winter school in theoretical physics, January (2006), online at http://www.as.huji.ac.il/schools/ phys23/media2.shtml
5. N. Berkovits and N. Nekrasov, Multiloop superstring amplitudes from non-minimal pure spinor formalism 2006 J. High Energy Phys. JHEP12(2006)029 [hep-th/0609012]
6. L. Baulieu, Transmutation of pure 2-D supergravity into topological 2-D gravity and other conformal theories 1992 Phys. Lett. B 288 59 [hep-th/9206019]
7. L. Baulieu, M.B. Green and E. Rabinovici, A unifying topological action for heterotic and type-II superstring theories 1996 Phys. Lett. B 386 91 [hep-th/9606080]
8. L. Baulieu and N. Ohta, Worldsheets with extended supersymmetry 1997 Phys. Lett. B 391 295 [hep-th/9609207]
9. L. Baulieu, M.B. Green and E. Rabinovici, Superstrings from theories with N>1 world-sheet supersymmetry 1997 Nucl. Phys. B 498 119 [hep-th/9611136]
10. N. Berkovits and C. Vafa, On the uniqueness of string theory 1994 Mod. Phys. Lett. A 9 653 [hep-th/9310170]
11. J. Hoogeveen and K. Skenderis, BRST quantization of the pure spinor superstring 2007 J. High Energy Phys. JHEP11(2007)081 [0710.2598]
12. N. Berkovits, A new description of the superstring [hep-th/9604123]
13. W. Siegel, Classical superstring mechanics 1986 Nucl. Phys. B 263 93
14. N. Berkovits, Relating the RNS and pure spinor formalisms for the superstring 2001 J. High Energy Phys. JHEP08(2001)026 [hep-th/0104247]
15. N.A. Nekrasov, Lectures on curved beta-gamma systems, pure spinors and anomalies [hep-th/0511008]
16. P. Mukhopadhyay, DDF construction and D-brane boundary states in pure spinor formalism 2006 J. High Energy Phys. JHEP05(2006)055 [hep-th/0512161]
17. R. Schiappa and N. Wyllard, D-brane boundary states in the pure spinor superstring 2005 J. High Energy Phys. JHEP07(2005)070 [hep-th/0503123]
18. K. Lee and W. Siegel, Simpler superstring scattering 2006 J. High Energy Phys. JHEP06(2006)046 [hep-th/0603218]
19. N. Berkovits, Multiloop amplitudes and vanishing theorems using the pure spinor formalism for the superstring 2004 J. High Energy Phys. JHEP09(2004)047 [hep-th/0406055]
20. L. Brink and J.H. Schwarz, Quantum superspace 1981 Phys. Lett. B 100 310
21. W. Siegel, Hidden local supersymmetry in the supersymmetric particle action 1983 Phys. Lett. B 128 397
22. M.B. Green and J.H. Schwarz, Covariant description of superstrings 1984 Phys. Lett. B 136 367
23. N. Berkovits and B.C. Vallilo, Consistency of super-Poincaré covariant superstring tree amplitudes 2000 J. High Energy Phys. JHEP07(2000)015 [hep-th/0004171]
24. H. Ishikawa and M. Kato, Note on N = 0 string as N = 1 string 1994 Mod. Phys. Lett. A 9 725 [hep-th/9311139]
25. P.A. Grassi, G. Policastro, M. Porrati and P. Van Nieuwenhuizen, Covariant quantization of superstrings without pure spinor constraints 2002 J. High Energy Phys. JHEP10(2002)054 [hep-th/0112162]
26. P.A. Grassi, G. Policastro and P. van Nieuwenhuizen, The quantum superstring as a WZNW model 2004 Nucl. Phys. B 676 43 [hep-th/0307056]
27. Y. Aisaka and Y. Kazama, A new first class algebra, homological perturbation and extension of pure spinor formalism for superstring 2003 J. High Energy Phys. JHEP02(2003)017 [hep-th/0212316]
28. Y. Aisaka and Y. Kazama, Relating Green-Schwarz and extended pure spinor formalisms by similarity transformation 2004 J. High Energy Phys. JHEP04(2004)070 [hep-th/0404141]
29. M. Chesterman, Ghost constraints and the covariant quantization of the superparticle in ten dimensions 2004 J. High Energy Phys. JHEP02(2004)011 [hep-th/0212261]
30. K. Lee and W. Siegel, Conquest of the ghost pyramid of the superstring 2005 J. High Energy Phys. JHEP08(2005)102 [hep-th/0506198]
31. N. Berkovits and D.Z. Marchioro, Relating the Green-Schwarz and pure spinor formalisms for the superstring 2005 J. High Energy Phys. JHEP01(2005)018 [hep-th/0412198]
32. Y. Aisaka and Y. Kazama, Origin of pure spinor superstring 2005 J. High Energy Phys. JHEP05(2005)046 [hep-th/0502208]
33. M. Matone, L. Mazzucato, I. Oda, D. Sorokin and M. Tonin, The superembedding origin of the Berkovits pure spinor covariant quantization of superstrings 2002 Nucl. Phys. B 639 182 [hep-th/0206104]
34. N. Berkovits, Covariant quantization of the Green-Schwarz superstring in a Calabi-Yau background 1994 Nucl. Phys. B 431 258 [hep-th/9404162]
35. M. Tonin, World sheet supersymmetric formulations of Green-Schwarz superstrings 1991 Phys. Lett. B 266 312
36. N. Berkovits, The heterotic Green-Schwarz superstring on an N = (2,0) superworldsheet 1992 Nucl. Phys. B 379 96 [hep-th/9201004]
37. N. Berkovits, SuperPoincaré invariant superstring field theory 1995 Nucl. Phys. B 450 90 [hep-th/9503099]
38. O. Chandía, private communication
39. N. Berkovits, Strings 2002 proceedings University of Cambridge, online at http://www.damtp.cam.ac.uk/strings02/avt/berkovits/img_16.html