Higher-loop amplitudes in the non-minimal pure spinor formalism

Journal of High Energy Physics

Volumn 2009, Issue 5, 2009, Pages

  Grassi, Pietro Antonio ^a,b,e   Vanhove, Pierre ^c,d,e  

^a UNIVERSITY OF EASTERN PIEDMONT   (Italy)

^b SEZIONE DI TORINO   (Italy)

^c INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^d DIF   (France)

^e UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

BRST quantization; Extended supersymmetry; Superstrings and heterotic strings

Indexed keywords

EID: 67649589182     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/05/089     Document Type: Article

References (37)

1. N. Berkovits, 2004 Multiloop amplitudes and vanishing theorems using the pure spinor formalism for the superstring J. High Energy Phys. JHEP09(2004)047 [hep-th/0406055]
2. N. Berkovits, 2005 Pure spinor formalism as an N=2 topological string J. High Energy Phys. JHEP10(2005)089 [hep-th/0509120]
3. N. Berkovits and N. Nekrasov, 2006 Multiloop superstring amplitudes from non-minimal pure spinor formalism J. High Energy Phys. JHEP12(2006)029 [hep-th/0609012]
4. 4 theorems, Phys. Rev. Lett. 98 211601 [hep-th/0609006]
5. N. Berkovits, ICTP lectures on covariant quantization of the superstring, [hep-th/0209059]
6. M.B. Green, J.G. Russo and P. Vanhove, 2007 Non-renormalisation conditions in type-II string theory and maximal supergravity J. High Energy Phys. JHEP02(2007)099 [hep-th/0610299]
7. M.B. Green, J.H. Schwarz and L. Brink, 1982 N=4 Yang-Mills and N=8 supergravity as limits of string theories, Nucl. Phys. B 198 474
8. Z. Bern et al., 2007 Three-loop superfiniteness of N=8 supergravity, Phys. Rev. Lett. 98 161303 [hep-th/0702112]
9. Z. Bern, L.J. Dixon and R. Roiban, 2007 Is N=8 supergravity ultraviolet finite?, Phys. Lett. B 644 265 [hep-th/0611086]
10. Z. Bern, J.J.M. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, 2008 Manifest ultraviolet behavior for the three-loop four-point amplitude of N=8 supergravity, Phys. Rev. D 78 105019 [0808.4112]
11. Z. Bern, J.J.M. Carrasco and H. Johansson, Progress on ultraviolet finiteness of supergravity, [0902.3765]
12. M.B. Green, J.G. Russo and P. Vanhove, 2007 Ultraviolet properties of maximal supergravity, Phys. Rev. Lett. 98 131602 [hep-th/0611273]
13. Z. Bern, J.J. Carrasco, D. Forde, H. Ita and H. Johansson, 2008 Unexpected cancellations in gravity theories, Phys. Rev. D 77 025010 [0707.1035]
14. N.E.J. Bjerrum-Bohr and P. Vanhove, 2008 Absence of triangles in maximal supergravity amplitudes J. High Energy Phys. JHEP10(2008)006 [0805.3682]
15. S. Badger, N.E.J. Bjerrum-Bohr and P. Vanhove, 2009 Simplicity in the structure of QED and gravity amplitudes J. High Energy Phys. JHEP02(2009)038 [0811.3405]
16. N. Arkani-Hamed, F. Cachazo and J. Kaplan, What is the simplest quantum field theory?, [0808.1446]
17. Y. Aisaka and N. Berkovits, Pure spinor vertex operators in Siegel gauge and loop amplitude regularization, [0903.3443]
18. J. Hoogeveen and K. Skenderis, 2007 BRST quantization of the pure spinor superstring J. High Energy Phys. JHEP11(2007)081 [0710.2598]
19. P.A. Grassi and G. Policastro, Super-Chern-Simons theory as superstring theory, [hep-th/0412272]
20. N.A. Nekrasov, Lectures on curved beta-gamma systems, pure spinors and anomalies, [hep-th/0511008]
21. L. Anguelova, P.A. Grassi and P. Vanhove, 2004 Covariant one-loop amplitudes in D=11, Nucl. Phys. B 702 269 [hep-th/0408171]
22. P.A. Grassi, G. Policastro and P. van Nieuwenhuizen, Superstrings and WZNW models, [hep-th/0402122]
23. I. Oda and M. Tonin, 2007 Y-formalism and b ghost in the non-minimal pure spinor formalism of superstrings, Nucl. Phys. B 779 63 [0704.1219]
24. W. Siegel and H.-D. Feng, 2004 Gauge-covariant vertex operators, Nucl. Phys. B 683 168 [hep-th/0310070]
25. B. Zwiebach, 1993 Closed string field theory: quantum action and the B-V master equation, Nucl. Phys. B 390 33 [hep-th/9206084]
26. P.A. Grassi and L. Tamassia, 2004 Vertex operators for closed superstrings J. High Energy Phys. JHEP07(2004)071 [hep-th/0405072]
27. J.J. Atick, J.M. Rabin and A. Sen, 1988 An ambiguity in fermionic string perturbation theory, Nucl. Phys. B 299 279
28. J.J. Atick, G.W. Moore and A. Sen, 1988 Some global issues in string perturbation theory, Nucl. Phys. B 308 1
29. J.J. Atick, G.W. Moore and A. Sen, 1988 Catoptric tadpoles, Nucl. Phys. B 307 221
30. E.J. Martinec, 1986 Nonrenormalization theorems and fermionic string finiteness, Phys. Lett. B 171 189
31. O. Lechtenfeld, 1990 Factorization and modular invariance of multiloop superstring amplitudes in the unitary gauge, Nucl. Phys. B 338 403
32. O. Lechtenfeld and A. Parkes, 1990 On covariant multiloop superstring amplitudes, Nucl. Phys. B 332 39
33. O. Lechtenfeld, 1989 On the finiteness of the superstring, Nucl. Phys. B 322 82
34. N. Berkovits, 1993 Finiteness and unitarity of Lorentz covariant Green-Schwarz superstring amplitudes, Nucl. Phys. B 408 43 [hep-th/9303122]
35. N. Berkovits and C.R. Mafra, 2006 Equivalence of two-loop superstring amplitudes in the pure spinor and RNS formalisms, Phys. Rev. Lett. 96 011602 [hep-th/0509234]
36. C.R. Mafra, 2006 Four-point one-loop amplitude computation in the pure spinor formalism J. High Energy Phys. JHEP01(2006)075 [hep-th/0512052]
37. C.R. Mafra, Superstring scattering amplitudes with the pure spinor formalism, [0902.1552]