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2019

Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs

Creutzig, Thomas, Hikida, Yasuaki, Uetoko, Takahiro

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We examine rectangular W-algebras with $so(M)$ or $sp(2M)$ symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions.

We compute the central charges of the algebras and the levels of $so(M)$ or $sp(2M)$ affine subalgebras by applying the Hamiltonian reductions of $so$ or $sp$ type Lie algebras.
For simple cases with generators of spin up to two, we obtain their operator product expansions by requiring the associativity.
We further claim that the W-algebras can be realized as the symmetry algebras of dual coset CFTs and provide several strong supports.

Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs · Around

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T. Creutzig and Y. Hikida, Rectangular W-(super)algebras and their representations , 1906.05868
Original
1906
Earlier work this paper cites.
P. Goddard, A. Kent and D. I. Olive, Virasoro algebras and coset space models , Phys. Lett. 152B
1985
Earlier work this paper cites.
A. Achucarro and P. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories , Phys.Lett. B180
1986
Earlier work this paper cites.
D. J. Gross, High-energy symmetries of string theory , Phys.Rev.Lett. 60
1988
Earlier work this paper cites.
B. L. Feigin, The lie algebras gl ( λ ) (\lambda) and cohomologies of lie algebras of differential operators , Russian Mathematical Surveys 43
1988
Earlier work this paper cites.
E. Witten, ( 2 + 1 ) − (2+1)- dimensional gravity as an exactly soluble system , Nucl.Phys. B311
1988
Earlier work this paper cites.
E. Bergshoeff, B. de Wit and M. A. Vasiliev, The structure of the super W ( λ ) ∞ {}_{\infty}(\lambda) algebra , Nucl.Phys. B366
1991
Earlier work this paper cites.
K. Thielemans, A Mathematica package for computing operator product expansions , Int. J. Mod. Phys. C2
1991
Earlier work this paper cites.
S. Odake and T. Sano, W 1+∞
1991
Earlier work this paper cites.
S. Prokushkin and M. A. Vasiliev, Higher spin gauge interactions for massive matter fields in 3-D AdS space-time , Nucl.Phys. B545
1999
Earlier work this paper cites.
V. G. Kac and M. Wakimoto, Integrable highest weight modules over affine superalgebras and Appell’s function , Commun. Math. Phys. 215
2001
Earlier work this paper cites.
M. Henneaux and S.-J. Rey, Nonlinear W ∞ W_{\infty} as asymptotic symmetry of three-dimensional higher spin anti-de Sitter gravity , JHEP 1012
Original
2010
Earlier work this paper cites.
A. Campoleoni, S. Fredenhagen, S. Pfenninger and S. Theisen, Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields , JHEP 1011
Original
2010
Earlier work this paper cites.
M. R. Gaberdiel and R. Gopakumar, An AdS 3 dual for minimal model CFTs , Phys.Rev. D83
Original
2011
Earlier work this paper cites.
C. Ahn, The large N N ’t Hooft limit of coset minimal models , JHEP 10
Original
2011
Earlier work this paper cites.

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