Built on

D. Arnal and G. Pinczon, On algebraically irreducible representations of the Lie al- gebra sl 2 {\rm sl}_{2}
1974
Earlier work this paper cites.
B. Kostant, On Whittaker vectors and representation theory
1978
Earlier work this paper cites.
R. Block, The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
1981
Earlier work this paper cites.
E. McDowell, On modules induced from Whittaker modules
1985
Earlier work this paper cites.
E. McDowell, A module induced from a Whittaker module,
1993
Earlier work this paper cites.
D. Mili c ˇ \check{\rm c} i c ´ \acute{\rm c} and W. Soergel, The composition series of modules induced from Whittaker modules
1997
Earlier work this paper cites.
K. Christodoupoulou, Whittaker modules for Heisenberg algebras and imaginary Whittaker modules for affine lie algebras
2008
Earlier work this paper cites.
G. Benkart and M. Ondrus, Whittaker modules for generalized Weyl algebras
2009
Earlier work this paper cites.
M. Ondrus and E. Wiesner, Whittaker modules for the Virasoro algebra
2009
Earlier work this paper cites.

Similar

R. Poghossian, Recursion relations in CFT and N=2 SYM theory,
Original
2009
Cited alongside, same era.
N. Wyllard, A(N-1) conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories,
Original
2009
Cited alongside, same era.
D. Liu, Y. Wu, and L. Zhu, Whittaker modules for the twisted Heisenberg-Virasoro algebra
2010
Cited alongside, same era.
X. Zhang, S. Tan, and H.Lian Whittaker modules for the SchrödingerWitt algebra
2010
Cited alongside, same era.
B. Wang, Whittaker Modules for Graded Lie Algebras
Original
2010
Cited alongside, same era.

Then

S. Yanagida, Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial,
Original
2011
Closest in time.
M. Taki, On AGT Conjecture for Pure Super Yang-Mills and W-algebra,
Original
2011
Closest in time.
V. Belavin and B. Feigin, Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories,
Original
2011
Closest in time.
T. Nishioka and Y. Tachikawa, Central charges of para-Liouville and Toda theories from M-5-branes,
Original
2011
Closest in time.
R. Lu, X. Guo and K. Zhao, Irreducible Modules over the Virasoro Algebra
2011
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2011

Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states

Felinska, Ewa, Jaskolski, Zbigniew, Kosztolowicz, Michal

Understand

In this paper we analyze Whittaker modules for two families of Wittaker pairs related to the subalgebras of the Virasoro algebra generated by L_r,..., L_{2r} and L_1,L_n.

The structure theorems for the corresponding universal Whittaker modules are proved and some of their consequences are derived.
All the Gaiotto {arXiv:0908.0307} and the Bonelli-Maruyoshi-Tanzini {arXiv:1112.1691} states in an arbitrary Virasoro algebra Verma module are explicitly constructed.

Built on

D. Arnal and G. Pinczon, On algebraically irreducible representations of the Lie al- gebra sl 2 {\rm sl}_{2}
1974
Earlier work this paper cites.
B. Kostant, On Whittaker vectors and representation theory
1978
Earlier work this paper cites.
R. Block, The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
1981
Earlier work this paper cites.
E. McDowell, On modules induced from Whittaker modules
1985
Earlier work this paper cites.
E. McDowell, A module induced from a Whittaker module,
1993
Earlier work this paper cites.
D. Mili c ˇ \check{\rm c} i c ´ \acute{\rm c} and W. Soergel, The composition series of modules induced from Whittaker modules
1997
Earlier work this paper cites.
K. Christodoupoulou, Whittaker modules for Heisenberg algebras and imaginary Whittaker modules for affine lie algebras
2008
Earlier work this paper cites.
G. Benkart and M. Ondrus, Whittaker modules for generalized Weyl algebras
2009
Earlier work this paper cites.
M. Ondrus and E. Wiesner, Whittaker modules for the Virasoro algebra
2009
Earlier work this paper cites.