Pure spinor superspace identities for massless four-point kinematic factors

Journal of High Energy Physics

Volumn 2008, Issue 4, 2008, Pages

  Mafra, Carlos R ^a,b  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Superspaces; Superstrings and heterotic strings

Indexed keywords

EID: 44449160545     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/04/093     Document Type: Article

References (31)

1. D.J. Gross and J.H. Sloan, The quartic effective action for the heterotic string 1987 Nucl. Phys. B 291 41
2. N. Berkovits, Super-Poincaré covariant quantization of the superstring 2000 J. High Energy Phys. JHEP04(2000)018 [hep-th/0001035]
3. 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]
4. N. Berkovits, Pure spinor formalism as an N = 2 topological string 2005 J. High Energy Phys. JHEP10(2005)089 [hep-th/0509120]
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. N. Berkovits, Explaining the Pure Spinor Formalism for the Superstring 2008 J. High Energy Phys. JHEP01(2008)065 [0712.0324]
7. 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]
8. Y. Aisaka and Y. Kazama, Origin of pure spinor superstring 2005 J. High Energy Phys. JHEP05(2005)046 [hep-th/0502208]
9. J.H. Schwarz, Superstring theory 1982 Phys. Rep. 89 223
10. E. D'Hoker and D.H. Phong, Two-loop superstrings VI: non-renormalization theorems and the 4-point function 2005 Nucl. Phys. B 715 3 [hep-th/0501197]
11. E. D'Hoker and D.H. Phong, Two-loop superstrings V: gauge slice independence of the N-point function 2005 Nucl. Phys. B 715 91 [hep-th/0501196]
12. E. D'Hoker and D.H. Phong, Two-loop superstrings IV, the cosmological constant and modular forms 2002 Nucl. Phys. B 639 129 [hep-th/0111040]
13. E. D'Hoker and D.H. Phong, Two-loop superstrings III, slice independence and absence of ambiguities 2002 Nucl. Phys. B 636 61 [hep-th/0111016]
14. E. D'Hoker and D.H. Phong, Two-loop superstrings II, the chiral measure on moduli space 2002 Nucl. Phys. B 636 3 [hep-th/0110283]
15. E. D'Hoker and D.H. Phong, Two-loop superstrings I, main formulas 2002 Phys. Lett. B 529 241 [hep-th/0110247]
16. 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]
17. C.R. Mafra, Four-point one-loop amplitude computation in the pure spinor formalism 2006 J. High Energy Phys. JHEP01(2006)075 [hep-th/0512052]
18. N. Berkovits and C.R. Mafra, Equivalence of two-loop superstring amplitudes in the pure spinor and RNS formalisms 2006 Phys. Rev. Lett. 96 011602 [hep-th/0509234]
19. N. Berkovits, Super-Poincaré covariant two-loop superstring amplitudes 2006 J. High Energy Phys. JHEP01(2006)005 [hep-th/0503197]
20. 4, purified 2006 Class. Quantum Grav. 23 4753 [hep-th/0603165]
21. C. Stahn, Fermionic superstring loop amplitudes in the pure spinor formalism 2007 J. High Energy Phys. JHEP05(2007)034 [0704.0015]
22. N. Berkovits, Explaining pure spinor superspace [hep-th/0612021]
23. E. D'Hoker, M. Gutperle and D.H. Phong, Two-loop superstrings and S-duality 2005 Nucl. Phys. B 722 81 [hep-th/0503180]
24. N. Berkovits and C.R. Mafra, Some superstring amplitude computations with the non-minimal pure spinor formalism 2006 J. High Energy Phys. JHEP11(2006)079 [hep-th/0607187]
25. E. Witten, Twistor-like transform in ten-dimensions 1986 Nucl. Phys. B 266 245
26. N. Berkovits, ICTP lectures on covariant quantization of the superstring [hep-th/0209059]
27. P. Howe, private communication
28. U. Gran, GAMMA: a Mathematica package for performing Gamma-matrix algebra and Fierz transformations in arbitrary dimensions [hep-th/0105086]
29. K. Lee and W. Siegel, Simpler superstring scattering 2006 J. High Energy Phys. JHEP06(2006)046 [hep-th/0603218]
30. M.B. Green, J.H. Schwarz and E. Witten, Superstring theory, Vol. 1: Introduction (Cambridge University Press, Cambridge) U.K. (1987)
31. M.B. Green, J.H. Schwarz and E. Witten, Superstring theory, Vol. 2: Loop amplitudes, anomalies and phenomenology (Cambridge University Press, Cambridge) U.K. (1987)