Yangian in the twistor string

Journal of High Energy Physics

Volumn 2010, Issue 10, 2010, Pages

  Corn, John ^a   Creutzig, Thomas ^a   Dolan, Louise ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

Conformal field models in string theory; Gauge gravity correspondence; Global symmetries

Indexed keywords

EID: 78649700268     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP10(2010)076     Document Type: Article

References (61)

1. E. Witten, Perturbative gauge theory as a string theory in twistor space, Commun. Math. Phys. 252 (2004) 189 [hep-th/0312171].
2. N. Berkovits, An alternative string theory in twistor space for N = 4 super-Yang-Mills, Phys. Rev. Lett. 93 (2004) 011601 [hep-th/0402045].
3. N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory, JHEP 08 (2004) 009 [hep-th/0406051].
4. L. Dolan and P. Goddard, Gluon Tree Amplitudes in Open Twistor String Theory, JHEP 12 (2009) 032 [arXiv:0909.0499].
5. L. Dolan and P. Goddard, General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory, JHEP 05 (2010) 044 [arXiv:1002.4852].
6. M. Spradlin and A. Volovich, From Twistor String Theory To Recursion Relations, Phys. Rev. D 80 (2009) 085022 [arXiv:0909.0229].
7. J. L. Bourjaily, J. Trnka, A. Volovich and C. Wen, The Grassmannian and the Twistor String: Connecting All Trees in N = 4 SYM, arXiv:1006.1899.
8. D. Nandan, A. Volovich and C. Wen, A Grassmannian Etude in NMHV Minors, JHEP 07 (2010) 061 [arXiv:0912.3705].
9. R. Roiban, M. Spradlin and A. Volovich, Dissolving N = 4 loop amplitudes into QCD tree amplitudes, Phys. Rev. Lett. 94 (2005) 102002 [hep-th/0412265].
10. R. Roiban, M. Spradlin and A. Volovich, A googly amplitude from the B-model in twistor space, JHEP 04 (2004) 012 [hep-th/0402016].
11. R. Roiban and A. Volovich, All googly amplitudes from the B-model in twistor space, Phys. Rev. Lett. 93 (2004) 131602 [hep-th/0402121].
12. R. Roiban, M. Spradlin and A. Volovich, On the tree-level S-matrix of Yang-Mills theory, Phys. Rev. D 70 (2004) 026009 [hep-th/0403190].
13. N. Arkani-Hamed, F. Cachazo and C. Cheung, The Grassmannian Origin Of Dual Superconformal Invariance, JHEP 03 (2010) 036 [arXiv:0909.0483].
14. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, The S-matrix in Twistor Space, JHEP 03 (2010) 110 [arXiv:0903.2110].
15. N. Arkani-Hamed, F. Cachazo, C. Cheung and J. Kaplan, A Duality For The S Matrix, JHEP 03 (2010) 020 [arXiv:0907.5418].
16. N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Local Spacetime Physics from the Grassmannian, arXiv:0912.3249.
17. N. Arkani-Hamed, J. Bourjaily, F. Cachazo and J. Trnka, Unification of Residues and Grassmannian Dualities, arXiv:0912.4912.
18. L. Mason and D. Skinner, Dual Superconformal Invariance, Momentum Twistors and Grassmannians, JHEP 11 (2009) 045 [arXiv:0909.0250].
19. L. Mason and D. Skinner, Heterotic twistor-string theory, Nucl. Phys. B 795 (2008) 105 [arXiv:0708.2276].
20. D. Skinner, A Direct Proof of BCFW Recursion for Twistor-Strings, arXiv:1007.0195.
21. A. Brandhuber, P. Heslop and G. Travaglini, A note on dual superconformal symmetry of the N = 4 super Yang-Mills S-matrix, Phys. Rev. D 78 (2008) 125005 [arXiv:0807.4097].
22. M. Wolf, On hidden symmetries of a super gauge theory and twistor string theory, JHEP 02 (2005) 018 [hep-th/0412163].
23. L. Dolan, C. R. Nappi and E. Witten, A relation between approaches to integrability in superconformal Yang-Mills theory, JHEP 10 (2003) 017 [hep-th/0308089].
24. L. Dolan, C. R. Nappi and E. Witten, Yangian symmetry in D = 4 superconformal Yang-Mills theory, in the proceedings of 3rd International Symposium on Quantum Theory and Symmetries, Cincinnati U. S. A. (2003) [hep-th/0401243].
25. J. A. Minahan and K. Zarembo, The Bethe-ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208].
26. 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116].
27. N. J. MacKay, Introduction to Yangian symmetry in integrable field theory, Int. J. Mod. Phys. A 20 (2005) 7189 [hep-th/0409183].
28. N. J. MacKay, On the classical origins of Yangian symmetry in integrable field theory, Phys. Lett. B 281 (1992) 90
29. [Erratum ibid. B 308 (1993) 444].
30. V. Drinfel'd, Hopf algebras and the quantum Yang-Baxter equation, Sov. Math. Dokl. 32 (1985) 254.
31. V. Drinfel'd, A new realization of Yangians and quantized affine algebras, Sov. Math. Dokl. 36 (1988) 212.
32. L. Dolan, Yangians and Kac-Moody loop algebras in superconformal gauge theory, PoS (jhw2003) 007.
33. L. Dolan, Kac-Moody Algebra Is Hidden Symmetry of Chiral Models, Phys. Rev. Lett. 47 (1981) 1371.
34. L. Dolan and A. Roos, Nonlocal currents as Noether currents, Phys. Rev. D 22 (1980) 2018.
35. L. Dolan, Kac-Moody algebras and exact solvability in hadronic physics, Phys. Rept. 109 (1984) 1.
36. E. Brézin, C. Itzykson, J. Zinn-Justin and J. B. Zuber, Remarks About the Existence of Nonlocal Charges in Two-Dimensional Models, Phys. Lett. B 82 (1979) 442.
37. A. M. Polyakov, Gauge fields as rings of glue, Nucl. Phys. B 164 (1980) 1971.
38. M. Lüscher and K. Pohlmeyer, Scattering of Massless Lumps and Nonlocal Charges in the Two-Dimensional Classical Nonlinear σ-model, Nucl. Phys. B 137 (1978) 46.
39. M. Lüscher, Quantum Nonlocal Charges and Absence of Particle Production in the Two-Dimensional Nonlinear σ-model, Nucl. Phys. B 135 (1978) 1.
40. A. D. Popov and C. R. Preitschopf, Conformal Symmetries of the Self-Dual Yang-Mills Equations, Phys. Lett. B 374 (1996) 71 [hep-th/9512130].
41. J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory, Nucl. Phys. B 828 (2010) 317 [arXiv:0807.1095].
42. J. M. Drummond, J. Henn, V. A. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals, JHEP 01 (2007) 064 [hep-th/0607160].
43. L. F. Alday and J. M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 [arXiv:0705.0303].
44. N. Berkovits and J. Maldacena, Fermionic T-duality, Dual Superconformal Symmetry and the Amplitude/Wilson Loop Connection, JHEP 09 (2008) 062 [arXiv: 0807. 3196].
45. 5 Superstring Integrability, Phys. Rev. D 78 (2008) 126004 [arXiv: 0807. 3228].
46. N. Beisert, On Yangian Symmetry in Planar N = 4 SYM, arXiv: 1004.5423.
47. A. Hodges, Eliminating spurious poles from gauge-theoretic amplitudes, arXiv: 0905.1473.
48. J. M. Drummond, J. M. Henn and J. Plefka, Yangian symmetry of scattering amplitudes in N = 4 super Yang-Mills theory, JHEP 05 (2009) 046 [arXiv: 0902. 2987].
49. J. M. Drummond and L. Ferro, Yangians, Grassmannians and T-duality, JHEP 07 (2010) 027 [arXiv: 1001.3348].
50. J. M. Drummond and L. Ferro, The Yangian origin of the Grassmannian integral, arXiv: 1002.4622.
51. D. Bernard, Z. Maassarani and P. Mathieu, Logarithmic Yangians in WZW models, Mod. Phys. Lett. A 12 (1997) 535 [hep-th/9612217].
52. D. Bernard, Hidden Yangians in 2 - D massive current algebras, Commun. Math. Phys. 137 (1991) 191.
53. L. Dolan and P. Goddard, Tree and loop amplitudes in open twistor string theory, JHEP 06 (2007) 005 [hep-th/0703054].
54. L. Dolan and P. Goddard, Current Algebra on the Torus, Commun. Math. Phys. 285 (2009) 219 [arXiv: 0710. 3743].
55. T. Creutzig, Branes in supergroups, arXiv: 0908.1816.
56. T. Creutzig and Y. Hikida, Branes in the OSP (1\2) WZNW model, arXiv: 1004.1977.
57. T. Creutzig, Geometry of branes on supergroups, Nucl. Phys. B 812 (2009) 301 [arXiv: 0809. 0468].
58. T. Creutzig and V. Schomerus, Boundary Correlators in Supergroup WZNW Models, Nucl. Phys. B 807 (2009) 471 [arXiv:0804.3469].
59. T. Creutzig, T. Quella and V. Schomerus, Branes in the GL (1|1) WZNW-Model, Nucl. Phys. B 792 (2008) 257 [arXiv:0708.0583].
60. L. Dolan and J. N. Ihry, Conformal Supergravity Tree Amplitudes from Open Twistor String Theory, Nucl. Phys. B 819 (2009) 375 [arXiv:0811.1341].
61. F. A. Berezin, Introduction to superanalysis, in Mathematical Physics and Applied Mathematics, vol. 9, A. A. Kirillov and D. Leites eds., D. Reidel Publ., Dordrecht Netherlands (1987).