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C. Candu and M. R. Gaberdiel, “Supersymmetric holography on A d S 3 AdS_{3} ,” arXiv:1203.1939 [hep-th]
Original
1939
Earlier work this paper cites.
V. G. Drinfeld and V. V. Sokolov, “Lie algebras and equations of Korteweg-de Vries type,” J. Sov. Math. 30
1984
Earlier work this paper cites.
B. L. Feigin, “The Lie algebras 𝔤 𝔩 λ \mathfrak{gl}_{\lambda} and cohomologies of Lie algebras of differential operators,” Russ. Math. Surv. 43
1988
Earlier work this paper cites.
M. P. Blencowe, “A Consistent Interacting Massless Higher Spin Field Theory In D = (2+1),” Class. Quant. Grav. 6
1989
Earlier work this paper cites.
E. Bergshoeff, M. P. Blencowe and K. S. Stelle, “Area Preserving Diffeomorphisms And Higher Spin Algebra,” Commun. Math. Phys. 128
1990
Earlier work this paper cites.
C. N. Pope, L. J. Romans and X. Shen, “W(infinity) And The Racah-wigner Algebra,” Nucl. Phys. B 339
1990
Earlier work this paper cites.
E. Witten, “Quantization Of Chern-simons Gauge Theory With Complex Gauge Group,” Commun. Math. Phys. 137
1991
Earlier work this paper cites.
M. A. Vasiliev, “Higher Spin Algebras And Quantization On The Sphere And Hyperboloid,” Int. J. Mod. Phys. A 6
1991
Earlier work this paper cites.
E. S. Fradkin and V. Ya. Linetsky, “Infinite dimensional generalizations of finite dimensional symmetries,” J. Math. Phys. 32
1991
Earlier work this paper cites.

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2013

Campoleoni, Andrea, Prochazka, Tomas, Raeymaekers, Joris

We construct a class of smooth solutions in three-dimensional Vasiliev higher spin theories based on the gauge algebra hs[\lambda].

These solutions naturally generalize the previously constructed conical defect solutions in higher spin theories with sl(N) gauge algebra, to which they reduce when \lambda is taken to be equal to N.
We provide evidence for their identification with specific primary states of the W_\infty [\lambda] algebra in a particular classical limit.
In terms of the Gaberdiel-Gopakumar-'t Hooft limit of the W_N minimal models, this limit corresponds to a regime where the 't Hooft coupling becomes large.

C. Candu and M. R. Gaberdiel, “Supersymmetric holography on A d S 3 AdS_{3} ,” arXiv:1203.1939 [hep-th]
Original
1939
Earlier work this paper cites.
V. G. Drinfeld and V. V. Sokolov, “Lie algebras and equations of Korteweg-de Vries type,” J. Sov. Math. 30
1984
Earlier work this paper cites.
B. L. Feigin, “The Lie algebras 𝔤 𝔩 λ \mathfrak{gl}_{\lambda} and cohomologies of Lie algebras of differential operators,” Russ. Math. Surv. 43
1988
Earlier work this paper cites.
M. P. Blencowe, “A Consistent Interacting Massless Higher Spin Field Theory In D = (2+1),” Class. Quant. Grav. 6
1989
Earlier work this paper cites.
E. Bergshoeff, M. P. Blencowe and K. S. Stelle, “Area Preserving Diffeomorphisms And Higher Spin Algebra,” Commun. Math. Phys. 128
1990
Earlier work this paper cites.
C. N. Pope, L. J. Romans and X. Shen, “W(infinity) And The Racah-wigner Algebra,” Nucl. Phys. B 339
1990
Earlier work this paper cites.
E. Witten, “Quantization Of Chern-simons Gauge Theory With Complex Gauge Group,” Commun. Math. Phys. 137
1991
Earlier work this paper cites.
M. A. Vasiliev, “Higher Spin Algebras And Quantization On The Sphere And Hyperboloid,” Int. J. Mod. Phys. A 6
1991
Earlier work this paper cites.
E. S. Fradkin and V. Ya. Linetsky, “Infinite dimensional generalizations of finite dimensional symmetries,” J. Math. Phys. 32
1991
Earlier work this paper cites.