Fetching the paper…

Reading the bibliography…

Quantum Integrable Systems from Conformal Blocks · Around

2016

Quantum Integrable Systems from Conformal Blocks

Chen, Heng-Yu, Qualls, Joshua D.

Original
PDF
Post on X

Understand

In this note, we extend the striking connections between quantum integrable systems and conformal blocks recently found in http://arxiv.org/abs/1602.01858 in several directions.

First, we explicitly demonstrate that the action of quartic conformal Casimir operator on general d-dimensional scalar conformal blocks, can be expressed in terms of certain combinations of commuting integrals of motions of the two particle hyperbolic BC2 Calogero-Sutherland system.
The permutation and reflection properties of the underlying Dunkl operators play crucial roles in establishing such a connection.
Next, we show that the scalar superconformal blocks in SCFTs with four and eight supercharges and suitable chirality constraints can also be identified with the eigenfunctions of the same Calogero-Sutherland system, this demonstrates the universality of such a connection.

Built on

H. Osborn, Phys. Lett. B 718
Original
1941
Earlier work this paper cites.
F. Calogero, J. Math. Phys. 12
1971
Earlier work this paper cites.
B. Sutherland, Phys. Rev. A 4
1972
Earlier work this paper cites.
C. F. Dunkl, Trans. Amer. Math. Soc. 311
1989
Earlier work this paper cites.
L. Lapointe and L. Vinet, Commun. Math. Phys. 178
1996
Earlier work this paper cites.
A. Galperin, E. Ivanov, S. Kalitsyn, V. Ogievetsky and E. Sokatchev, Class. Quant. Grav. 1
1997
Earlier work this paper cites.
F. A. Dolan and H. Osborn, Nucl. Phys. B 678
2003
Earlier work this paper cites.

Similar

F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez and R. Zhdanov, Commun. Math. Phys. 233
2004
Cited alongside, same era.
E. M. Rains, Transform. Groups, 10
2005
Cited alongside, same era.
M. S. Costa, J. Penedones, D. Poland and S. Rychkov, JHEP 1111
Original
2011
Cited alongside, same era.
F. A. Dolan and H. Osborn, Nucl. Phys. B 629
Original
2011
Cited alongside, same era.
M. Hogervorst and S. Rychkov, Phys. Rev. D 87
Original
2013
Cited alongside, same era.
W. D. Goldberger, W. Skiba and M. Son, Phys. Rev. D 86

Then

S. Weinberg, Phys. Rev. D 82
Original
2014
Later among the works it cites.
N. Bobev, S. El-Showk, D. Mazac and M. F. Paulos, JHEP 1508
Original
2015
Later among the works it cites.
A. C. Echeverri, E. Elkhidir, D. Karateev and M. Serone, JHEP 1508
Original
2015
Later among the works it cites.
E. Elkhidir, D. Karateev and M. Serone, JHEP 1501
Original
2015
Later among the works it cites.
M. Lemos and P. Liendo, JHEP 1601
Original
2016
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…

2013

Cited alongside, same era.

A. L. Fitzpatrick, J. Kaplan, Z. U. Khandker, D. Li, D. Poland and D. Simmons-Duffin, JHEP 1408

2014

Cited alongside, same era.

M. Isachenkov and V. Schomerus, arXiv:1602.01858 [hep-th]

Cited in the paper.

F. A. Dolan and H. Osborn, arXiv:1108.6194 [hep-th]

Cited in the paper.

A. C. Echeverri, E. Elkhidir, D. Karateev and M. Serone, [arXiv:1601.05325 [hep-th]]

Cited in the paper.

M. Costa, T. Hansen, J. Penedones and E. Trevisani, arXiv:1603.05552 [hep-th]

Cited in the paper.

M. Hogervorst, arXiv:1604.08913 [hep-th]

Cited in the paper.

D. Poland and D. Simmons-Duffin, JHEP 1105

2087

Closest in time.