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We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev's equations.
1942
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M. A. Vasiliev, “Consistent equations for interacting gauge fields of all spins in 3 + 1 3+1 dimensions”, Phys. Lett. 243
1990
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M. A. Vasiliev, “Properties of equations of motion of interacting gauge fields of all spins in (3+1)-dimensions,” Class. Quant. Grav. 8
1991
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1991
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M. A. Vasiliev, “Higher Spin Algebras and Quantization on the Sphere and Hyperboloid,” Int. J. Mod. Phys. A 6
1991
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1992
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1994
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A. V. Barabanshchikov, S. F. Prokushkin and M. A. Vasiliev, “Free equations for massive matter fields in (2+1)-dimensional anti-de Sitter space from deformed oscillator algebra,” Teor. Mat. Fiz. 110N3
1997
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E. Sezgin and P. Sundell, “Higher spin N=8 supergravity,” JHEP 9811
1998
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S. F. Prokushkin and M. A. Vasiliev, “Higher spin gauge interactions for massive matter fields in 3-D AdS space-time,” Nucl. Phys. B 545
1999
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K. I. Bolotin and M. A. Vasiliev, “Star-product and massless free field dynamics in AdS(4)”, Phys. Lett. B 479
2000
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E. Sezgin and P. Sundell, “Analysis of higher spin field equations in four-dimensions,” JHEP 0207
2002
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M. A. Vasiliev, “Nonlinear equations for symmetric massless higher spin fields in (A)dS(d),” Phys. Lett. B 567
2003
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T. Hertog and G. T. Horowitz, “Towards a big crunch dual,” JHEP 0407
2005
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G. Barnich, N. Bouatta and M. Grigoriev, “Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces,” JHEP 0510
2005
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J. Engquist and P. Sundell, “Brane partons and singleton strings,” Nucl. Phys. B 752
2006
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E. Sezgin and P. Sundell, “An Exact solution of 4-D higher-spin gauge theory,” Nucl. Phys. B 762
2007
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V. E. Didenko, A. S. Matveev and M. A. Vasiliev, “BTZ Black Hole as Solution of 3-D Higher Spin Gauge Theory,” Theor. Math. Phys. 153
2007
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2008
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2010
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2015
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2015
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E. D. Skvortsov and M. Taronna, “On Locality, Holography and Unfolding,” JHEP 1511
2015
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2016
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2011
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2011
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S. Giombi and X. Yin, “Higher Spins in AdS and Twistorial Holography,” JHEP 1104
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2012
Cited alongside, same era.
E. Sezgin and P. Sundell, “Geometry and Observables in Vasiliev’s Higher Spin Gravity,” JHEP 1207
2012
Cited alongside, same era.
C. Iazeolla and P. Sundell, “Biaxially symmetric solutions to 4D higher-spin gravity,” J. Phys. A 46
2013
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2016
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C. Iazeolla and J. Raeymaekers, “On big crunch solutions in Prokushkin-Vasiliev theory,” JHEP 1601
2016
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N. Boulanger, P. Sundell and M. Valenzuela, “Three-dimensional fractional-spin gravity,” JHEP 1402
2016
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2016
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2016
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2017
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2017
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2017
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2017
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M. A. Vasiliev, “Invariant Functionals in Higher-Spin Theory,” Nucl. Phys. B 916
2017
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