Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries - INSPIRE

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Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries

Dec 5, 2024

21 pages

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2412.04761 [math-ph]

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Abstract: (arXiv)

We study the Izergin-Korepin Gaudin models with both periodic and open integrable boundary conditions, which describe novel quantum systems exhibiting long-range interactions. Using the Bethe ansatz approach, we derive the eigenvalues of the Gaudin operators and the corresponding Bethe ansatz equations.

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[1]

Diagonalisation d’une classe d’hamiltoniens de spin

M. Gaudin

- J.Phys. 37 (1976) 1087-1098

[2]

Integrable models for interacting electronis in metallic grains

Luigi Amico
(
- Catania U., DMFCI and
- INFM, Catania
)
,
Antonio Di Lorenzo
(
- Catania U., DMFCI and
- INFM, Catania
)
,
Andreas Osterloh
(
- Catania U., DMFCI and
- INFM, Catania
)

- Phys.Rev.Lett. 86 (2001) 5759-5762
•
e-Print:
- cond-mat/0101029
•
DOI:
- 10.1103/PhysRevLett.86.5759

[3]

Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems

- Rev.Mod.Phys. 76 (2004) 643-662
•
e-Print:
- nucl-th/0405011
•
DOI:
- 10.1103/RevModPhys.76.643

[4]

Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

- Nucl.Phys.B 426 (1994) 19-52,
- Nucl.Phys.B 430 (1994) 485-486 (erratum)
•
e-Print:
- hep-th/9407087
•
DOI:
- 10.1016/0550-3213(94)90124-4

[5]

The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory

H.W. Braden
(
- Edinburgh U.
)
,
A. Marshakov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Mironov
(
- Lebedev Inst. and
- Moscow, ITEP
)
,
A. Morozov
(
- Moscow, ITEP
)

- Nucl.Phys.B 558 (1999) 371-390
•
e-Print:
- hep-th/9902205
•
DOI:
- 10.1016/S0550-3213(99)00414-9

[6]

Current Algebra and Wess-Zumino Model in Two-Dimensions

V.G. Knizhnik
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 247 (1984) 83-103,
- Also in *Goddard, P. (ed.), Olive, D. (ed.): Kac-Moody and Virasoro algebras* 501-521, and in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 76-96,
•
DOI:
- 10.1016/0550-3213(84)90374-2

[7]

Gaudin magnet with boundary and generalized Knizhnik-Zamolodchikov equation

K. Hikami

- J.Phys.A 28 (1995) 4997

[8]

Off-shell Bethe Ansatz equation and N point correlators in SU(2) WZNW theory

Hratchya M. Babujian
(
- Bonn U.
)

- J.Phys.A 26 (1993) 6981-6990,
- J. Phys. A26 (1993) 6981-6990. and Bonn Univ. - BONN-HE-93-22 (93/06,rec.Jul.) 16 p. C
•
e-Print:
- hep-th/9307062
•
DOI:
- 10.1088/0305-4470/26/23/037

[9]

Gaudin model, Bethe ansatz and correlation functions at the critical level

Boris Feigin
(
- Landau Inst.
)
,
Edward Frenkel
(
- Harvard U.
)
,
Nikolai Reshetikhin
(
- UC, Berkeley, Math. Dept.
)

- Commun.Math.Phys. 166 (1994) 27-62
•
e-Print:
- hep-th/9402022
•
DOI:
- 10.1007/BF02099300

[10]

Integrable spin systems with long range interactions

Kazuhiro Hikami
(
- Tokyo U.
)
,
P.P. Kulish
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Miki Wadati
(
- Tokyo U.
)

- J.Phys.Soc.Jap. 61 (1992) 3071-3076
•
DOI:
- 10.1143/JPSJ.61.3071

[11]

Quasiclassical descendants of disordered vertex models with boundaries

Antonio Di Lorenzo
(
- NEST-INFM and
- Catania U., DMFCI
)
,
Luigi Amico
(
- NEST-INFM and
- Catania U., DMFCI
)
,
Kazuhiro Hikami
(
- Tokyo U.
)
,
Andreas Osterloh
(
- NEST-INFM and
- Catania U., DMFCI
)
,
Gaetano Giaquinta
(
- NEST-INFM and
- Catania U., DMFCI
)

- Nucl.Phys.B 644 (2002) 409-432
•
e-Print:
- cond-mat/0206521
•
DOI:
- 10.1016/S0550-3213(02)00811-8

[12]

A Class of exactly solvable pairing models

J. Dukelsky
(
- Madrid, Inst. Estructura Materia
)
,
C. Esebbag
(
- Alcala de Henares U.
)
,
P. Schuck
(
- Orsay, IPN
)

- Phys.Rev.Lett. 87 (2001) 066403
•
e-Print:
- cond-mat/0107477
•
DOI:
- 10.1103/PhysRevLett.87.066403

[13]

Exact solution of the XXZ Gaudin model with generic open boundaries

Wen-Li Yang
(
- Xibei U. and
- Queensland U.
)
,
Yao-Zhong Zhang
(
- Queensland U.
)
,
Mark D. Gould
(
- Queensland U.
)

- Nucl.Phys.B 698 (2004) 503
•
e-Print:
- hep-th/0411048
•
DOI:
- 10.1016/j.nuclphysb.2004.07.029

[14]

Quarkonium from the fifth-dimension

Sungho Hong
(
- Washington U., Seattle and
- Pennsylvania U.
)
,
Sukjin Yoon
(
- Washington U., Seattle
)
,
Matthew J. Strassler
(
- Washington U., Seattle
)

- JHEP 04 (2004) 046
•
e-Print:
- hep-th/0312071
•
DOI:
- 10.1088/1126-6708/2004/04/046

[15]

A(n-1) Gaudin model with generic open boundaries

Wen-Li Yang
(
- Xibei U. and
- Queensland U.
)
,
Yao-Zhong Zhang
(
- Queensland U.
)
,
Ryu Sasaki
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 729 (2005) 594-610
•
e-Print:
- hep-th/0507148
•
DOI:
- 10.1016/j.nuclphysb.2005.09.003

[16]

Exact solution of XXZ spin chain with unparallel boundary fields

Junpeng Cao
(
- Beijing, KITPC
)
,
Hai-Qing Lin
(
- Hong Kong, Chinese U.
)
,
Kang-Jie Shi
(
- Xian, NWPU
)
,
Yupeng Wang
(
- Beijing, KITPC and
- ICTS, Beijing
)

- Nucl.Phys.B 663 (2003) 487-519
•
DOI:
- 10.1016/S0550-3213(03)00372-9

[17]

Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz

Samuel Belliard
(
- Montpellier U.
)
,
Nicolas Crampé
(
- Montpellier U.
)

- SIGMA 9 (2013) 072
•
e-Print:
- 1309.6165
•
DOI:
- 10.3842/SIGMA.2013.072

[18]

Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms

Rafael I. Nepomechie
(
- Miami U.
)

- J.Phys.A 37 (2004) 433-440
•
e-Print:
- hep-th/0304092
•
DOI:
- 10.1088/0305-4470/37/2/012

[19]

T-Q relation and exact solution for the XYZ chain with general nondiagonal boundary terms

Wen-Li Yang
(
- Xibei U. and
- Queensland U.
)
,
Yao-Zhong Zhang
(
- Queensland U.
)

- Nucl.Phys.B 744 (2006) 312-329
•
e-Print:
- hep-th/0512154
•
DOI:
- 10.1016/j.nuclphysb.2006.03.025

[20]

Off-Diagonal Bethe Ansatz for Exactly Solvable Models

Y. Wang
,
W.-L. Yang
,
J. Cao
,
K. Shi

[21]

Off-diagonal Bethe ansatz and exact solution of a topological spin ring

Junpeng Cao
(
- Beijing, Inst. Phys.
)
,
Wenli Yang
(
- Xibei U.
)
,
Kangjie Shi
(
- Xibei U.
)
,
Yupeng Wang
(
- Beijing, Inst. Phys.
)

- Phys.Rev.Lett. 111 (2013) 13, 137201
•
e-Print:
- 1305.7328
•
DOI:
- 10.1103/PhysRevLett.111.137201

[22]

Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions

Junpeng Cao
(
- Beijing, Inst. Phys.
)
,
Wen-Li Yang
(
- Xibei U.
)
,
Kangjie Shi
(
- Xibei U.
)
,
Yupeng Wang
(
- Beijing, Inst. Phys.
)

- Nucl.Phys.B 875 (2013) 152-165
•
e-Print:
- 1306.1742
•
DOI:
- 10.1016/j.nuclphysb.2013.06.022

[23]

Spin- $\frac{1}{2}$ XYZ model revisit: General solutions via off-diagonal Bethe ansatz

Junpeng Cao
(
- Beijing, Inst. Phys.
)
,
Wen-Li Yang
(
- Northwest Inst. Nucl. Tech., Xian
)
,
Shuai Cui
(
- Beijing, Inst. Phys.
)
,
Kang-Jie Shi
(
- Northwest Inst. Nucl. Tech., Xian
)
,
Yupeng Wang
(
- Beijing, Inst. Phys.
)

- Nucl.Phys.B 886 (2014) 185-201
•
e-Print:
- 1307.0280
•
DOI:
- 10.1016/j.nuclphysb.2014.06.026

[24]

Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields

Junpeng Cao
(
- Beijing, Inst. Phys.
)
,
Wen-Li Yang
(
- Xibei U.
)
,
Kangjie Shi
(
- Xibei U.
)
,
Yupeng Wang
(
- Beijing, Inst. Phys.
)

- Nucl.Phys.B 877 (2013) 152-175
•
e-Print:
- 1307.2023
•
DOI:
- 10.1016/j.nuclphysb.2013.10.001

[25]

Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields

Yuan-Yuan Li
(
- Beijing, Inst. Phys.
)
,
Junpeng Cao
(
- Beijing, Inst. Phys.
)
,
Wen-Li Yang
(
- Xibei U.
)
,
Kangjie Shi
(
- Xibei U.
)
,
Yupeng Wang
(
- Beijing, Inst. Phys.
)

- Nucl.Phys.B 879 (2014) 98-109
•
e-Print:
- 1311.0432
•
DOI:
- 10.1016/j.nuclphysb.2013.12.004

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