Built on

V. Kazakov, E. Olivucci, and M. Preti, JHEP 06
Original
1901
Earlier work this paper cites.
N. Gromov and A. Sever, Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
J. M. Maillet and G. Niccoli, (2019), arXiv:1903.06618 [math-ph]
Original
1903
Earlier work this paper cites.
I. Kostov, V. B. Petkova, and D. Serban, Phys. Rev. Lett. 122
Original
1903
Earlier work this paper cites.
Y. Jiang, S. Komatsu, and E. Vescovi, (2019), arXiv:1906.07733 [hep-th]
Original
1906
Earlier work this paper cites.
A. Pittelli and M. Preti, Phys. Lett. B798
Original
1906
Earlier work this paper cites.
N. Gromov and A. Sever, JHEP 10
Original
1907
Earlier work this paper cites.
A. Cavaglià, N. Gromov, and F. Levkovich-Maslyuk, JHEP 09
Original
1907
Earlier work this paper cites.
N. Gromov and A. Sever, (2019c), arXiv:1908.10379 [hep-th]
Original
1908
Earlier work this paper cites.
N. Gromov, F. Levkovich-Maslyuk, P. Ryan, and D. Volin, (2019), arXiv:1910.13442 [hep-th]
Original
1910
Earlier work this paper cites.
B. Basso, G. Ferrando, V. Kazakov, and D.-l. Zhong, (2019), arXiv:1911.10213 [hep-th]
Original
1911
Earlier work this paper cites.
H. Bethe, Zeitschrift für Physik 71
1931
Earlier work this paper cites.
M. D’Eramo, G. Parisi, and L. Peliti, Lett. Nuovo Cim. 2
1971
Earlier work this paper cites.
G. ’t Hooft, Nucl. Phys. B72
1974
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V. S. Fadin, E. Kuraev, and L. Lipatov, Physics Letters B 60
1975
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V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, and I. T. Todorov, Lect. Notes Phys. 63
1977
Earlier work this paper cites.
Y. Y. Balitskii and L. Lipatov, Sov. J. Nucl. Phys. 28
1978
Earlier work this paper cites.

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A. B. Zamolodchikov, Phys. Lett. 97B
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D. Chicherin, S. Derkachov, and A. P. Isaev, JHEP 04
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E. Panzer, Feynman integrals and hyperlogarithms , Ph.D. thesis , Humboldt U., Berlin, Inst. Math. (2015), arXiv:1506.07243 [math-ph]
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2019

Exactly solvable magnet of conformal spins in four dimensions

Derkachov, Sergey, Olivucci, Enrico

Understand

We provide the eigenfunctions for a quantum chain of $N$ conformal spins with nearest-neighbor interaction and open boundary conditions in the irreducible representation of $SO(1,5)$ of scaling dimension $\Delta = 2 - i \lambda$ and spin numbers $\ell=\dot{\ell}=0$.

The spectrum of the model is separated into $N$ equal contributions, each dependent on a quantum number $Y_a=[\nu_a,n_a]$ which labels a representation of the principal series.
The eigenfunctions are orthogonal and we computed the spectral measure by means of a new star-triangle identity.
Any portion of a conformal Feynmann diagram with square lattice topology can be represented in terms of separated variables, and we reproduce the all-loop "fishnet" integrals computed by B.

Built on

V. Kazakov, E. Olivucci, and M. Preti, JHEP 06
Original
1901
Earlier work this paper cites.
N. Gromov and A. Sever, Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
J. M. Maillet and G. Niccoli, (2019), arXiv:1903.06618 [math-ph]
Original
1903
Earlier work this paper cites.
I. Kostov, V. B. Petkova, and D. Serban, Phys. Rev. Lett. 122
Original
1903
Earlier work this paper cites.
Y. Jiang, S. Komatsu, and E. Vescovi, (2019), arXiv:1906.07733 [hep-th]
Original
1906
Earlier work this paper cites.
A. Pittelli and M. Preti, Phys. Lett. B798
Original
1906
Earlier work this paper cites.
N. Gromov and A. Sever, JHEP 10
Original
1907
Earlier work this paper cites.
A. Cavaglià, N. Gromov, and F. Levkovich-Maslyuk, JHEP 09
Original
1907
Earlier work this paper cites.
N. Gromov and A. Sever, (2019c), arXiv:1908.10379 [hep-th]
Original
1908
Earlier work this paper cites.
N. Gromov, F. Levkovich-Maslyuk, P. Ryan, and D. Volin, (2019), arXiv:1910.13442 [hep-th]
Original
1910
Earlier work this paper cites.
B. Basso, G. Ferrando, V. Kazakov, and D.-l. Zhong, (2019), arXiv:1911.10213 [hep-th]
Original
1911
Earlier work this paper cites.
H. Bethe, Zeitschrift für Physik 71
1931
Earlier work this paper cites.
M. D’Eramo, G. Parisi, and L. Peliti, Lett. Nuovo Cim. 2
1971
Earlier work this paper cites.
G. ’t Hooft, Nucl. Phys. B72
1974
Earlier work this paper cites.
V. S. Fadin, E. Kuraev, and L. Lipatov, Physics Letters B 60
1975
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, and I. T. Todorov, Lect. Notes Phys. 63
1977
Earlier work this paper cites.
Y. Y. Balitskii and L. Lipatov, Sov. J. Nucl. Phys. 28
1978
Earlier work this paper cites.

Similar

A. B. Zamolodchikov, Phys. Lett. 97B
1980
Cited alongside, same era.
P. P. Kulish, N. Y. Reshetikhin, and E. K. Sklyanin, Letters in Mathematical Physics 5
1981
Cited alongside, same era.
R. J. Baxter, Exactly solved models in statistical mechanics (Elsevier, 1982)
1982
Cited alongside, same era.
D. J. Broadhurst, Phys. Lett. B164
1985
Cited alongside, same era.
E. K. Sklyanin, J. Sov. Math. 47
1989
Cited alongside, same era.
E. K. Sklyanin, (1991), arXiv:hep-th/9211111
1991
Cited alongside, same era.
L. N. Lipatov, JETP Lett. 59 (1994) 596-599; 12
1994

Then

D. Chicherin, S. Derkachov, and A. P. Isaev, JHEP 04
Original
2013
Later among the works it cites.
S. E. Derkachov and A. N. Manashov, J.Phys. A47 (2014) 305204 47
2014
Later among the works it cites.
B. Basso, S. Komatsu, and P. Vieira, (2015), arXiv:1505.06745 [hep-th]
Original
2015
Later among the works it cites.
E. Panzer, Feynman integrals and hyperlogarithms , Ph.D. thesis , Humboldt U., Berlin, Inst. Math. (2015), arXiv:1506.07243 [math-ph]
Original
2015
Later among the works it cites.
O. Gürdogan and V. Kazakov, Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.

Beyond the bibliography

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

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Cited alongside, same era.

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P. Di Francesco, P. Mathieu, and D. Senechal, Conformal Field Theory , Graduate Texts in Contemporary Physics (Springer-Verlag, New York, 1997)

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L. D. Faddeev, Symmetries quantiques , Proc. of Les Houches, Session LXIV 1995 (North Holland, 1998) arXiv:hep-th/9605187

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J. Caetano, O. Gurdogan, and V. Kazakov, Journal of High Energy Physics 117

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