Abstract
Introductory lectures on higher-spin gauge theory given at seventh Aegean workshop on non-Einstein theories of gravity. The emphasis is on qualitative features of the higher-spin gauge theory and peculiarities of its space-time interpretation. In particular, it is explained that Riemannian geometry cannot play a fundamental role in the higher-spin gauge theory. The higher-spin symmetries are argued to occur at ultra high energy scales beyond the Planck scale. This suggests that the higher-spin gauge theory can help to understand Quantum Gravity. Various types of higher-spin dualities are briefly discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
I am grateful to Ioannis Papadimitriou for the stimulating discussion of this point.
References
D.Z. Freedman, A. Van Proeyen, Supergravity. (Cambridge University Press, Cambridge, 2012), 607 p
A.H. Chamseddine, P.C. West, Nucl. Phys. B 129, 39 (1977)
C. Fronsdal, Phys. Rev. D18, 3624 (1978)
S. Weinberg, Phys. Rev. 138, B988–B1002 (1965)
S.R. Coleman, J. Mandula, Phys. Rev. 159, 1251–1256 (1967)
C. Aragone, S. Deser, Phys. Lett. B86, 161 (1979)
A.K.H. Bengtsson, I. Bengtsson, L. Brink, Nucl. Phys. B227, 31 (1983)
A.K.H. Bengtsson, I. Bengtsson, L. Brink, Nucl. Phys. B227, 41 (1983)
F.A. Berends, G.J.H. Burgers, H. Van Dam, Z. Phys. C24, 247–254 (1984)
F.A. Berends, G.J.H. Burgers, H. van Dam, Nucl. Phys. B260, 295 (1985)
E.S. Fradkin, M.A. Vasiliev, Phys. Lett. B189, 89–95 (1987)
E.S. Fradkin, M.A. Vasiliev, Nucl. Phys. B291, 141 (1987)
C.-M. Chang, S. Minwalla, T. Sharma, X. Yin, J. Phys. A 46, 214009 (2013). [arXiv:1207.4485 [hep-th]]
J.M. Maldacena, Adv. Theory Math. Phys. 2, 231 (1998). [arXiv:hep-th/9711200]. [Int. J. Theory Phys. 38 1113, (1999)]
S.S. Gubser, I.R. Klebanov, A.M. Polyakov, Phys. Lett. B 428, 105 (1998). [arXiv: hep-th/9802109]
E. Witten, Adv. Theory Math. Phys. 2, 253 (1998). [arXiv:hep-th/9802150]
S.E. Konstein, M.A. Vasiliev, V.N. Zaikin, J. High Energy Pract. 0012, 018 (2000). [hep-th/0010239]
B. Sundborg, Nucl. Phys. Proc. Suppl. 102, 113 (2001). [arXiv:hep-th/0103247]
E. Witten, Talk at the John Schwarz 60-th birthday symposium. (2011). http://theory.caltech.edu/jhs60/witten/1.html
A. Mikhailov, (2002). arXiv:hep-th/0201019
E. Sezgin, P. Sundell, Nucl. Phys. B 644, 303 (2002). [arXiv:hep-th/0205131]. [Erratum-Nucl. Phys. B 660, (2003) 403]
I.R. Klebanov, A.M. Polyakov, Phys. Lett. B 550, 213 (2002). [arXiv:hep-th/0210114]
S. Giombi, X. Yin, J. High Energy Pract. 1009, 115 (2010). [arXiv:0912.3462 [hep-th]]
R.G. Leigh, A.C. Petkou, J. High Energy Pract. 0306, 011 (2003). [hep-th/0304217]
E. Sezgin, P. Sundell, J. High Energy Pract. 0507, 044 (2005). [hep-th/0305040]
M. Henneaux, S.-J. Rey, J. High Energy Pract. 1012, 007 (2010). [arXiv:1008.4579 [hep-th]]
A. Campoleoni, S. Fredenhagen, S. Pfenninger, S. Theisen, J. High Energy Pract. 1011, 007 (2010). [arXiv:1008.4744 [hep-th]]
M.R. Gaberdiel, R. Gopakumar, Phys. Rev. D 83, 066007 (2011). [arXiv:1011.2986 [hep-th]]
M.A. Vasiliev, J. Phys. A 46, 214013 (2013). [arXiv:1203.5554 [hep-th]]
M.R. Gaberdiel, R. Gopakumar, J. Phys. A 46, 214002 (2013). [arXiv:1207.6697 [hep-th]]
S. Giombi, X. Yin, J. Phys. A 46, 214003 (2013). [arXiv:1208.4036 [hep-th]]
O.V. Shaynkman, M.A. Vasiliev, Theor. Math. Phys. 128, 1155 (2001). [hep-th/0103208]. [Teor. Mat. Fiz. 128, 378 (2001)]
M.G. Eastwood, Ann. Math. 161 1645, (2005). [hep-th/0206233]
E.S. Fradkin, M.A. Vasiliev, Ann. Phys. 177, 63 (1987)
M.A. Vasiliev, Fortsch. Phys. 36, 33 (1988)
M.A. Vasiliev, Ann. Phys. 190, 59 (1989)
M.A. Vasiliev, Phys. Lett. B 285, 225 (1992)
S.E. Konshtein, M.A. Vasiliev, Nucl. Phys. B 312, 402 (1989)
S.F. Prokushkin, M.A. Vasiliev, Nucl. Phys. B 545, 385 (1999). [hep-th/9806236]
M.A. Vasiliev, Class. Quantum Gravity 8, 1387 (1991)
M.A. Vasiliev, Int. J. Geom. Methods Mod. Phys. 3, 37 (2006). [hep-th/0504090]
M.A. Vasiliev, Nucl. Phys. B 793, 469 (2008). [arXiv:0707.1085 [hep-th]]
T. Lada, J. Stasheff, Int. J. Theory Phys. 32, 1087 (1993). [hep-th/9209099]
X. Bekaert, S. Cnockaert, C. Iazeolla, M.A. Vasiliev, (2005). hep-th/0503128
R.J. Baston, M.G. Eastwood, Oxford mathematical monographs. (Clarendon, Oxford, 1989), 213 p.
M.A. Vasiliev, Phys. Rev. D 66, 066006 (2002). [hep-th/0106149].
O.A. Gelfond, M.A. Vasiliev, Theory Math. Phys. 145, 1400 (2005). [hep-th/0304020]. [Teor. Mat. Fiz. 145, 35 (2005)]
A. Jevicki, K. Jin, Q. Ye, J. Phys. A 46, 214005 (2013). [arXiv:1212.5215 [hep-th]]
N.M. Nikolov, Y.S. Stanev, I.T. Todorov, J. Phys. A 35, 2985 (2002). [hep-th/0110230]
C. Fronsdal, Massless particles, ortosymplectic symmetry and another type of Kaluza-Klein theory. In: Essays on Supersymmetry. Mathematical Physics Studies, vol. 8 (Reidel, Dordrecht, 1986). Preprint UCLA/85/TEP/10
M.A. Vasiliev, In: Multiple Facets of Quantization and Supersymmetry, ed. by M. Olshanetsky, et al. (2001), pp. 826–872. [hep-th/0111119]
I.A. Bandos, J. Lukierski, D.P. Sorokin, Phys. Rev. D 61, 045002 (2000). [arXiv: hep-th/9904109].
I. Bandos, X. Bekaert, J.A. de Azcarraga, D. Sorokin, M. Tsulaia, J. High Energy Pract. 0505, 031 (2005). [hep-th/0501113]
M. Valenzuela, (2009). arXiv:0912.0789 [hep-th]
X. Bekaert, E. Meunier, S. Moroz, J. High Energy Pract. 1202, 113 (2012). [arXiv:1111.3656 [hep-th]]
M.A. Vasiliev, Class. Quant. Gravity 30, 104006 (2013). [arXiv:1212.6071 [hep-th]]
M.A. Vasiliev, Phys. Lett. B 567, 139 (2003). [hep-th/0304049]
M. Ammon, M. Gutperle, P. Kraus, E. Perlmutter, J. Phys. A 46, 214001 (2013).
M. Banados, C. Teitelboim, J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992). [hep-th/9204099]
V.E. Didenko, A.S. Matveev, M.A. Vasiliev, Theory Math. Phys. 153, 1487 (2007). [hep-th/0612161]. [Teor. Mat. Fiz. 153 158, (2007)]
V.E. Didenko, M.A. Vasiliev, Phys. Lett. B 682, 305 (2009). [arXiv:0906.3898 [hep-th]]. [Erratum-Phys. Lett. B 722, 389 (2013)]
C. Iazeolla, P. Sundell, J. High Energy Pract. 1112, 084 (2011). [arXiv:1107.1217 [hep-th]]
E. Sezgin, P. Sundell, Nucl. Phys. B 762, 1 (2007). [hep-th/0508158]
E. Sezgin, P. Sundell, (2005). hep-th/0511296
C. Iazeolla, E. Sezgin, P. Sundell, Nucl. Phys. B 791, 231 (2008). [arXiv:0706.2983 [hep-th]]
R.R. Metsaev, Nucl. Phys. B 759, 147 (2006). [hep-th/0512342]
K. Alkalaev, J. High Energy Pract. 1103, 031 (2011). [arXiv:1011.6109 [hep-th]]
M.A. Vasiliev, Nucl. Phys. B 862, 341 (2012). [arXiv:1108.5921 [hep-th]]
I.L. Buchbinder, T.V. Snegirev, Y..M. Zinoviev, Nucl. Phys. B 864, 694 (2012). [arXiv:1204.2341 [hep-th]]
R.R. Metsaev, Phys. Lett. B 720, 237 (2013). [arXiv:1205.3131 [hep-th]]
E. Joung, L. Lopez, M. Taronna, J. High Energy Pract. 1301, 168 (2013). [arXiv:1211.5912 [hep-th]].
N. Boulanger, D. Ponomarev, E.D. Skvortsov, J. High Energy Pract. 1305, 008 (2013). [arXiv:1211.6979 [hep-th]]
N. Boulanger, P. Sundell, J. Phys. A 44, 495402 (2011). [arXiv:1102.2219 [hep-th]]
N. Boulanger, N. Colombo, P. Sundell, J. High Energy Pract. 1210 043, (2012). [arXiv:1205.3339 [hep-th]]
J. Maldacena, A. Zhiboedov, J. Phys. A 46, 214011 (2013). [arXiv:1112.1016 [hep-th]]
J. Maldacena, A. Zhiboedov, Class. Quant. Gravity 30, 104003 (2013). [arXiv:1204.3882 [hep-th]]
V.E. Didenko, E.D. Skvortsov, J. Phys. A 46, 214010 (2013). [arXiv:1207.6786 [hep-th]]
H. Afshar, A. Bagchi, R. Fareghbal, D. Grumiller, J. Rosseel, Phys. Rev. Lett. 111, 121603 (2013). [arXiv:1307.4768 [hep-th]]
S. Giombi, I.R. Klebanov, J. High Energy Pract. 1312, 068 (2013). [arXiv:1308.2337 [hep-th]]
A.A. Tseytlin, Nucl. Phys. B 877, 598 (2013). [arXiv:1309.0785 [hep-th]]
R.R. Metsaev, (2013). arXiv:1311.7350 [hep-th]
S. Giombi, I.R. Klebanov, B.R. Safdi, (2014). arXiv:1401.0825 [hep-th]
S. Giombi, I.R. Klebanov, A.A. Tseytlin, (2014). arXiv:1402.5396 [hep-th]
M.R. Douglas, L. Mazzucato, S.S. Razamat, Phys. Rev. D 83, 071701 (2011). [arXiv:1011.4926 [hep-th]]
I. Sachs, (2013). arXiv:1306.6654 [hep-th]
R.G. Leigh, O. Parrikar, A.B. Weiss, (2014). arXiv:1402.1430 [hep-th]
A. Zhiboedov, (2012). arXiv:1206.6370 [hep-th]
N. Colombo, P. Sundell, (2012). arXiv:1208.3880 [hep-th]
V.E. Didenko, E.D. Skvortsov, J. High Energy Pract. 1304, 158 (2013). [arXiv:1210.7963 [hep-th]]
O.A. Gelfond, M.A. Vasiliev, Nucl. Phys. B 876, 871 (2013). [arXiv:1301.3123 [hep-th]]
Y.S. Stanev, Nucl. Phys. B 876, 651 (2013). [arXiv:1307.5209 [hep-th]]
I. Florakis, D. Sorokin, M. Tsulaia, (2014). arXiv:1401.1645 [hep-th]
M.A. Vasiliev, Int. J. Mod. Phys. D 5, 763 (1996). [hep-th/9611024]
M.A. Vasiliev, In: The Many Faces of the Superworld, ed. by M.A. Shifman, (1999), pp. 533–610. [hep-th/9910096]
X. Bekaert, N. Boulanger, P. Sundell, Rev. Mod. Phys. 84, 987 (2012). [arXiv:1007.0435 [hep-th]]
A. Sagnotti, J. Phys. A 46. 214006 (2013). [arXiv:1112.4285 [hep-th]]
V.E. Didenko, E.D. Skvortsov, (2014). arXiv:1401.2975 [hep-th]
A. Perez, D. Tempo, R. Troncoso, (2014). arXiv:1402.1465 [hep-th]
Acknowledgements
The author is grateful to Olga Gelfond for useful comments on the manuscript and to the organizers of the seventh Aegean workshop on non-Einstein theories of gravity on Paros for the warm atmosphere and hospitality. This research was supported in part by RFBR Grant No 14-02-01172.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Vasiliev, M.A. (2015). Higher-Spin Theory and Space-Time Metamorphoses. In: Papantonopoulos, E. (eds) Modifications of Einstein's Theory of Gravity at Large Distances. Lecture Notes in Physics, vol 892. Springer, Cham. https://doi.org/10.1007/978-3-319-10070-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-10070-8_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10069-2
Online ISBN: 978-3-319-10070-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)