On singleton composites in non-compact WZW models

Journal of High Energy Physics

Volumn 2007, Issue 2, 2007, Pages

  Engquist, Johan ^a   Sundell, Per ^b   Tamassia, Laura ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b INFN SEZIONE DI PISA   (Italy)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

AdS CFT correspondence; Conformal field models in string theory; Field theories in lower dimensions; Space time symmetries

Indexed keywords

EID: 33947692216     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/02/097     Document Type: Article

References (56)

1. E.S. Fradkin and V.Y. Linetsky, On the anti-de Sitter quantum (super)strings 1991 Phys. Lett. B 261 26.
2. I. Bars, Heterotic superstring vacua in 4-D based on noncompact affine current algebras 1990 Nucl. Phys. B 334 125.
3. S. Hwang, Unitarity of strings and non-compact hermitian symmetric spaces 1998 Phys. Lett. B 435 331 [hep-th/9806049].
4. 3 and SL(2,) WZW model. I, 2001 J. Math. Phys. 42 2929 [hep-th/0001053].
5. 3 and the SL(2,) WZW model. III: correlation functions, 2002 Phys. Rev. D 65 106006 [hep-th/0111180].
6. I. Bakas and C. Sourdis, On the tensionless limit of gauged WZW models 2004 J. High Energy Phys. JHEP06(2004)049 [hep-th/0403165].
7. U. Lindström and M. Zabzine, Tensionless strings, WZW models at critical level and massless higher spin fields 2004 Phys. Lett. B 584 178 [hep-th/0305098].
8. V.K. Dobrev and E. Sezgin, A remarkable representation of the SO(3,2) Kac-Moody algebra, 1991 Int. J. Mod. Phys. A 6 4699.
9. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171].
10. N. Berkovits, An alternative string theory in twistor space for N ≤ 4 super-Yang-Mills 2004 Phys. Rev. Lett. 93 011601 [hep-th/0402045].
11. W. Siegel, Untwisting the twistor superstring [hep-th/0404255].
12. N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory 2004 J. High Energy Phys. JHEP08(2004)009 [hep-th/0406051]
13. A. Anabalon, S. Willison and J. Zanelli, General relativity from a gauged WZW term 2007 Phys. Rev. D 75 024009 [hep-th/0610136]
14. X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev, Nonlinear higher spin theories in various dimensions [hep-th/0503128].
15. 11 and higher spin theories, [hep-th/0701026].
16. J. Engquist and P. Sundell, Brane partons and singleton strings 2006 Nucl. Phys. B 752 206 [hep-th/0508124].
17. A.B. Zamolodchikov and V.A. Fateev, Operator algebra and correlation functions in the two-dimensional Wess-Zumino SU(2) × SU(2) chiral model, 1986 Sov. J. Nucl. Phys. 43 657.
18. A. Mikhailov, Supersymmetric null-surfaces 2004 J. High Energy Phys. JHEP09(2004)068 [hep-th/0404173].
19. A. Mikhailov, Notes on fast moving strings 2006 Comm. Math. Phys. 264 683 [hep-th/0409040]
20. A.Y. Segal and A.A. Sharapov, Coherent (spin-)tensor fields on D ≤ 4 anti-de Sitter space 1999 Class. Quantum Grav. 16 3483 [hep-th/9705082].
21. G.W. Gibbons, Holography and the future tube 2000 Class. Quantum Grav. 17 1071 [hep-th/9911027]
22. J. Engquist, P. Sundell and L. Tamassia, work in progress.
23. F. Lesage, P. Mathieu, J. Rasmussen and H. Saleur, The SU(2)(-1/2) WZW model and the beta-gamma system, 2002 Nucl. Phys. B 647 363 [hep-th/0207201]
24. P.A.M. Dirac, A remarkable respresentation of the 3+2 de Sitter group 1963 J. Math. Phys. 4 901.
25. P.A.M. Dirac, Wave equations in conformal space 1936 Ann. Math. 37 429.
26. G. Mack and A. Salam, Finite component field representations of the conformal group 1969 Ann. Phys. (NY) 53 174.
27. M. Flato and C. Fronsdal, One massless particle equals two dirac singletons: elementary particles in a curved space. 6 1978 Lett. Math. Phys. 2 421.
28. M. Günaydin and C. Saclioglu, Oscillator like unitary representations of noncompact groups with a jordan structure and the noncompact groups of supergravity 1982 Comm. Math. Phys. 87 159.
29. W. Siegel, All free conformal representations in all dimensions 1989 Int. J. Mod. Phys. A 4 2015.
30. S. Ferrara and C. Fronsdal, Conformal fields in higher dimensions [hep-th/0006009].
31. E. Angelopoulos and M. Laoues, Singletons on AdS(n) prepared for conference Moshe Flato, Dijon, France, 5-8 September (1999), http://www.slac.stanford.edu/spires/find/hep/www?irn≤5990882
32. F.A. Dolan, Character formulae and partition functions in higher dimensional conformal field theory 2006 J. Math. Phys. 47 0623 03 [hep-th/0508031]
33. 4 algebra 2006 J. Phys. A: Math. Gen. 39 5995 [hep-th/0512354].
34. R.R. Metsaev, Arbitrary spin massless bosonic fields in D-dimensional anti-de Sitter space [hep-th/9810231]
35. V.K. Dobrev, Fermionic fields in the D-dimensional anti-de Sitter spacetime 1998 Phys. Lett. B 419 49 [hep-th/9802097].
36. K.B. Alkalaev, O.V. Shaynkman and M.A. Vasiliev, Frame-like formulation for free mixed-symmetry bosonic massless higher-spin fields in AdS(d) [hep-th/0601225].
37. 5/CFT(4) duality, 1999 Nucl. Phys. B 544 737 [hep-th/9810226].
38. E. Angelopoulos and M. Laoues, Masslessness in n-dimensions 1998 Rev. Math. Phys. 10 271-300 [hep-th/9806100].
39. E. Sezgin and P. Sundell, Doubletons and 5D higher spin gauge theory 2001 J. High Energy Phys. JHEP09(2001)036 [hep-th/0105001].
40. E. Sezgin and P. Sundell, Towards massless higher spin extension of D ≤ 5, N ≤ 8 gauged supergravity 2001 J. High Energy Phys. JHEP09(2001)025 [hep-th/0107186].
41. E. Sezgin and P. Sundell, 7d bosonic higher spin theory: symmetry algebra and linearized constraints 2002 Nucl. Phys. B 634 120 [hep-th/0112100].
42. M.A. Vasiliev, Higher spin superalgebras in any dimension and their representations 2004 J. High Energy Phys. JHEP12(2004)046 [hep-th/0404124].
43. 4 2003 J. High Energy Phys. JHEP06(2003)011 [hep-th/0304217].
44. E. Sezgin and P. Sundell, Holography in 4D (super) higher spin theories and a test via cubic scalar couplings 2005 J. High Energy Phys. JHEP07(2005)044 [hep-th/0305040].
45. N. Beisert, M. Bianchi, J.F. Morales and H. Samtleben, Higher spin symmetry and N ≤ 4 SYM 2004 J. High Energy Phys. JHEP07(2004)058 [hep-th/0405057].
46. 5 compactification of the chiral N ≤ 2,D ≤ 10 supergravity and the unitary supermultiplets of U(2,2/4) 1985 Class. Quantum Grav. 2 11.
47. A. Sagnotti, E. Sezgin and P. Sundell, On higher spins with a strong Sp(2,r) condition [hep-th/0501156].
48. P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory New York, U.S.A., Springer (1997).
49. G. D'Appollonio and E. Kiritsis, String interactions in gravitational wave backgrounds 2003 Nucl. Phys. B 674 80 [hep-th/0305081].
50. M.R. Gaberdiel, Fusion rules and logarithmic representations of a WZW model at fractional level 2001 Nucl. Phys. B 618 407 [hep-th/0105046].
51. S.E. Konshtein and M.A. Vasiliev, Massless representations and admissibility condition for higher spin superalgebras 1989 Nucl. Phys. B 312 402
52. V.K. Dobrev, Extended higher spin superalgebras and their massless representations 1990 Nucl. Phys. B 331 475.
53. A.J. Feingold and I.B. Frenkel, Classical affine algebras 1985 Adv. in Math. 56 117.
54. P. Goddard, D.I. Olive and G. Waterson, Superalgebras, symplectic bosons and the Sugawara construction 1987 Comm. Math. Phys. 112 591.
55. P. Bouwknegt, A. Ceresole, J.G. McCarthy and P. van Nieuwenhuizen, The extended sugawara construction for the superalgebras SU(M+1)/(N+1). Part 1: free field representation and bosonization of super Kac-Moody currents, 1989 Phys. Rev. D 39 2971.
56. C. Fronsdal, Singletons and massless, integral spin fields on de Sitter space (elementary particles in a curved space Vii) 1979 Phys. Rev. D 20 848