Twistor actions for self-dual supergravities

Communications in Mathematical Physics

Volumn 288, Issue 1, 2009, Pages 97-123

  Mason, Lionel J ^a   Wolf, Martin ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63449114734     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-009-0732-5     Document Type: Article

References (54)

1. M. Abou-Zeid C.M. Hull 2006 A chiral perturbation expansion for gravity JHEP 0602 057
2. M. Abou-Zeid C.M. Hull L.J. Mason 2008 Einstein supergravity and new twistor string theories Commun. Math. Phys. 282 519
3. M.F. Atiyah N.J. Hitchin I.M. Singer 1978 Self-duality in four-dimensional Riemannian geometry Proc. Roy. Soc. Lond. A 362 425
4. T.N. Bailey M.G. Eastwood 1991 Complex paraconformal manifolds- their differential geometry and twistor theory Forum. Math. 3 61
5. M. Batchelor 1979 The structure of supermanifolds Trans. Amer. Math. Soc. 253 329
6. E. Bergshoeff E. Sezgin 1992 Self-dual supergravity theories in (2 + 2)-dimensions Phys. Lett. B 292 87
7. N. Berkovits 2004 An alternative string theory in twistor space for N = 4 super Yang-Mills Phys. Rev. Lett. 93 011601
8. N. Berkovits E. Witten 2004 Conformal supergravity in twistor-string theory JHEP 0408 009
9. Z. Bern L.J. Dixon R. Roiban 2007 Is {\mathcal{N} = 8} supergravity ultraviolet finite? Phys. Lett. B 644 265
10. M. Bershadsky S. Cecotti H. Ooguri C. Vafa 1994 Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes Commun. Math. Phys. 165 311
11. N.E.J. Bjerrum-Bohr D.C. Dunbar H. Ita W.B. Perkins K. Risager 2006 The no-triangle hypothesis for N = 8 supergravity JHEP 0612 072
12. R. Boels L.J. Mason D. Skinner 2007 Supersymmetric gauge theories in twistor space JHEP 0702 014
13. R. Boels L.J. Mason D. Skinner 2007 From twistor actions to MHV diagrams Phys. Lett. B 648 90
14. Cap, A., Eastwood, M.G.: Some special geometry in dimension six. In: Proc. of the 22nd Winter School, Geometry and physics (Srni 2002), Rend. Circ. Mat. Palermo (2) Suppl. No. 71, 93 (2003)
15. S.M. Christensen S. Deser M.J. Duff M.T. Grisaru 1979 Chirality, self-duality, and supergravity counterterms Phys. Lett. B 84 411
16. R. Dijkgraaf S. Gukov A. Neitzke C. Vafa 2005 Topological M-theory as unification of form theories of gravity Adv. Theor. Math. Phys. 9 603
17. M.B. Green J.G. Russo P. Vanhove 2007 Ultraviolet properties of maximal supergravity Phys. Rev. Lett. 98 131602
18. Kallosh, R.E.: Super self-duality. JETP Lett. 29, 172 [Pisma Zh. Eksp. Teor. Fiz. 29, 192] (1979)
19. R.E. Kallosh 1980 Self-duality in superspace Nucl. Phys. B 165 119
20. S. Karnas S.V. Ketov 1998 An action of N = 8 self-dual supergravity in ultra-hyperbolic harmonic superspace Nucl. Phys. B 526 597
21. Ketov, S.V., Nishino, H., Gates, S.J.J.: Self-dual supersymmetry and supergravity in Atiyah-Ward space-time. Nucl. Phys. B 393, 149 (1992) 323 (1993)
22. See also Phys. Lett. B 297, 323 (1992)
23. Phys. Lett. B 307, 331 (1993)
24. Phys. Lett. B 307, 323 (1993)
25. O. Lechtenfeld C. Sämann 2006 Matrix models and D-branes in twistor string theory JHEP 0603 002
26. Manin, Yu.I.: Gauge field theory and complex geometry. New York: Springer Verlag, 1988 [Russian: Moscow: Nauka, 1984]
27. L.J. Mason 2005 Twistor actions for non-self-dual fields: A derivation of twistor string theory JHEP 0510 009
28. L.J. Mason E.T. Newman 1989 A connection between the Einstein and Yang-Mills equations Commun. Math. Phys. 121 659
29. L.J. Mason D. Skinner 2006 An ambitwistor Yang-Mills Lagrangian Phys. Lett. B 636 60
30. L.J. Mason D. Skinner 2008 Heterotic twistor-string theory Nucl. Phys. B 795 105
31. Mason L.J., Woodhouse N.M.J.: Integrability, self-duality, and twistor theory. Clarendon Press, Oxford (1996)
32. S.A. Merkulov 1991 Paraconformal supermanifolds and non-standard N -extended supergravity models Class. Quant. Grav. 8 557
33. S.A. Merkulov 1992 Supersymmetric non-linear graviton Funct. Anal. Appl. 26 69
34. S.A. Merkulov 1992 Simple supergravity, supersymmetric non-linear gravitons and supertwistor theory Class. Quant. Grav. 9 2369
35. S.A. Merkulov 1992 Quaternionic, quaternionic Kähler, and hyper-Kähler supermanifolds Lett. Math. Phys. 25 7
36. V.P. Nair 2008 A note on graviton amplitudes for new twistor string theories Phys. Rev. D 78 041501
37. R. Penrose 1968 Twistor quantization and curved space-time Int. J. Theor. Phys. 1 61
38. R. Penrose 1976 Non-linear gravitons and curved twistor theory Gen. Rel. Grav. 7 31
39. A.D. Popov M. Wolf 2004 Topological B model on weighted projective spaces and self-dual models in four dimensions JHEP 0409 007
40. R. Penrose C. Sämann 2005 On supertwistors, the Penrose-Ward transform and N = 4 super Yang-Mills theory Adv. Theor. Math. Phys. 9 931
41. R. Penrose C. Sämann M. Wolf 2005 The topological B model on a mini-supertwistor space and supersymmetric Bogomolny monopole equations JHEP 0510 058
42. C. Sämann 2005 The topological B model on fattened complex manifolds and subsectors of N = 4 self-dual Yang-Mills theory JHEP 0501 042
43. Sämann, C.: Aspects of twistor geometry and supersymmetric field theories within superstring theory, Ph.D. thesis, Leibniz University of Hannover, available at http://arXiv.org/list/hep-th/0603098, 2006
44. W. Siegel 1992 Self-dual N = 8 supergravity as closed N = 2 (N = 4) strings Phys. Rev. D 47 2504
45. E.S. Sokatchev 1995 Action for N = 4 supersymmetric self-dual Yang-Mills theory Phys. Rev. D 53 2062
46. Stelle, K.S.: Counterterms, holonomy and supersymmetry. In: Deserfest: A celebration of the Life and works of Stanley Deser, Ann Arbor Michigan, 2004, Liu, J.T., Duff, M.J., Stelle, K.S., Woodward, R.P., (eds.), River Edge, NJ: World Scientific, 2006, p. 303
47. Waintrob, A.Yu.: Deformations and moduli of supermanifolds. In: Group theoretical methods in physics, Vol. 1, Moscow: Nauka, 1986
48. R.S. Ward 1980 Self-dual space-times with cosmological constants Commun. Math. Phys. 78 1
49. Ward R.S., Wells R.O.: Twistor geometry and field theory. Cambridge University Press, Cambridge (1990)
50. E. Witten 1989 Topology changing amplitudes in (2 + 1)-dimensional gravity Nucl. Phys. B 323 113
51. E. Witten 2004 Perturbative gauge theory as a string theory in twistor space Commun. Math. Phys. 252 189
52. Wolf, M.: On supertwistor geometry and integrability in super gauge theory. Ph.D. thesis, Leibniz University of Hannover, available at http://arXiv.org/list/hep-th/0611013, 2006
53. M. Wolf 2007 Self-dual supergravity and twistor theory Class. Quant. Grav. 24 6287
54. N.M.J. Woodhouse 1985 Real methods in twistor theory Class. Quant. Grav. 2 257