Tree and loop amplitudes in open twistor string theory

Journal of High Energy Physics

Volumn 2007, Issue 6, 2007, Pages

  Dolan, Louise ^a   Goddard, Peter ^b  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Conformal field models in string theory; String duality; Supersymmetric gauge theory; Topological strings

Indexed keywords

EID: 34547657500     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/06/005     Document Type: Article

References (28)

1. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
2. N. Berkovits, An alternative string theory in twistor space for N ≤ 4 super-Yang-Mills 2004 Phys. Rev. Lett. 93 011601 [hep-th/0402045]
3. N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory 2004 J. High Energy Phys. JHEP08(2004)009 [hep-th/0406051]
4. N. Berkovits and L. Motl, Cubic twistorial string field theory 2004 J. High Energy Phys. JHEP04(2004)056 [hep-th/0403187]
5. L. Brink, J.H. Schwarz and J. Scherk, Supersymmetric Yang-Mills theories 1977 Nucl. Phys. B 121 77
6. F.A. Berends and W.T. Giele, Recursive calculations for processes with N gluons 1988 Nucl. Phys. B 306 759
7. F. Cachazo, P. Svrcek and E. Witten, MHV vertices and tree amplitudes in gauge theory 2004 J. High Energy Phys. JHEP09(2004)006 [hep-th/0403047]
8. N.E.J. Bjerrum-Bohr, D.C. Dunbar, H. Ita, W.B. Perkins and K. Risager, MHV-vertices for gravity amplitudes 2006 J. High Energy Phys. JHEP01(2006)009 [hep-th/0509016]
9. F.A. Berends, W.T. Giele and H. Kuijf, On relations between multi-gluon and multigraviton scattering 1988 Phys. Lett. B 211 91
10. M.B. Green, J.H. Schwarz and L. Brink, N≤4 Yang-Mills and N ≤ 8 supergravity as limits of string theories 1982 Nucl. Phys. B 198 474
11. Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated pentagon integrals 1994 Nucl. Phys. B 412 751 [hep-ph/9306240]
12. D. Forde and D.A. Kosower, All-multiplicity one-loop corrections to MHV amplitudes in QCD 2006 Phys. Rev. D 73 061701 [hep-ph/0509358]
13. C.F. Berger, Z. Bern, L.J. Dixon, D. Forde and D.A. Kosower, Bootstrapping one-loop QCD amplitudes with general helicities 2006 Phys. Rev. D 74 036009 [hep-ph/0604195]
14. C.F. Berger, Z. Bern, L.J. Dixon, D. Forde and D.A. Kosower, All one-loop maximally helicity violating gluonic amplitudes in QCD 2007 Phys. Rev. D 75 016006 [hep-ph/0607014]
15. F. Cachazo, P. Svrcek and E. Witten, Twistor space structure of one-loop amplitudes in gauge theory 2004 J. High Energy Phys. JHEP10(2004)074 [hep-th/0406177]
16. I. Bena, Z. Bern, D.A. Kosower and R. Roiban, Loops in twistor space 2005 Phys. Rev. D 71 106010 [hep-th/0410054]
17. S.J. Parke and T.R. Taylor, An amplitude for N gluon scattering 1986 Phys. Rev. Lett. 56 2459
18. M.L. Mangano and S.J. Parke, Multiparton amplitudes in gauge theories 1991 Phys. Rep. 200 301 [hep-th/0509223]
19. L. Dolan and P. Goddard, to appear
20. H. Romer and P. van Nieuwenhuizen, Axial anomalies in N ≤ 4 conformal supergravity 1985 Phys. Lett. B 162 290
21. N. Berkovits, Calculation of Green-Schwarz superstring amplitudes using the N ≤ 2 twistor string formalism 1993 Nucl. Phys. B 395 77 [hep-th/9208035]
22. I.B. Frenkel and Y. Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras 1992 Duke Math J. 66 123
23. M.D. Freeman and D.I. Olive, BRS cohomology in string theory and the no ghost theorem 1986 Phys. Lett. B 175 151
24. M.D. Freeman and D.I. Olive, The calculation of planar one loop diagrams in string theory using the brs formalism 1986 Phys. Lett. B 175 155
25. Y. Zhu, Modular invariance of characters of vertex operator algebras 1996 J. Amer. Math. Soc. 9 237
26. G. Mason and M.P. Tuite, Torus chiral N-point functions for free boson and lattice vertex operator algebras 2003 Comm. Math. Phys. 235 47 [math.qa/0204323]
27. H. Weyl, The classical groups, their invariants and representations Princeton Press (1977)
28. D. Mumford, Tata lectures on Theta I Progress in Mathematics, vol. 28, Birkhauser Boston (1983)