Fermionic superstring loop amplitudes in the pure spinor formalism

Journal of High Energy Physics

Volumn 2007, Issue 5, 2007, Pages

  Stahn, Christian ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

Superspaces; Superstrings and heterotic strings

Indexed keywords

EID: 34547582958     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/05/034     Document Type: Article

References (20)

1. N. Berkovits, Super-Poincaré covariant quantization of the superstring 2000 J. High Energy Phys. JHEP04(2000)018 [hep-th/0001035]
2. 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]
3. 4 theorems [hep-th/0609006]
4. N. Berkovits, Super-Poincaré covariant two-loop superstring amplitudes 2006 J. High Energy Phys. JHEP01(2006)005 [hep-th/0503197]
5. N. Berkovits, Explaining pure spinor superspace [hep-th/0612021]
6. 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]
7. 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]
8. E. D'Hoker and D.H. Phong, Two loop superstrings, 1. Main formulas 2002 Phys. Lett. B 529 241 [hep-th/0110247]
9. L. Anguelova, P.A. Grassi and P. Vanhove, Covariant one-loop amplitudes in D ≤ 11 2004 Nucl. Phys. B 702 269 [hep-th/0408171]
10. 4, purified 2006 Class. Quantum Grav. 23 4753 [hep-th/0603165]
11. 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]
12. A. Cohen, M. van Leeuwen and B. Lisser, LiE: A Computer algebra package for Lie group computations v. 2.2 (1998), http://wwwmathlabo.univ-poitiers.fr/ maavl/LiE/
13. U. Gran, GAMMA: A Mathematica package for performing gamma-matrix algebra and Fierz transformations in arbitrary dimensions [hep-th/010508]
14. H. Ooguri, J. Rahmfeld, H. Robins and J. Tannenhauser, Holography in superspace 2000 J. High Energy Phys. JHEP07(2000)045 [hep-th/0007104]
15. P.A. Grassi, L. Tamassia, Vertex operators for closed superstrings 2004 J. High Energy Phys. JHEP07(2004)071 [hep-th/0405072]
16. J.J. Atick and A. Sen, Covariant one loop fermion emission amplitudes in closed string theories 1987 Nucl. Phys. B 293 317
17. M.B. Green and J.H. Schwarz, Supersymmetrical dual string theory. 3. Loops and renormalisation 1982 Nucl. Phys. B 198 441
18. C.-J. Zhu, Covariant two-loop fermion emission amplitude in closed superstring theories 1989 Nucl. Phys. B 327 744
19. K. Peeters, Introducing Cadabra: A symbolic computer algebra system for field theory problems [hep-th/0701238]
20. M.B. Green, J.H. Schwarz and E. Witten, Superstring theory. Vol. 1: Introduction (Cambridge University Press) (1987)