$A note on gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant Bethe vectors$

A note on gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant Bethe vectors

Abstract We consider gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix. We also derive the actions of the twisted...

Full description

Bibliographic Details
Main Authors:	S. Belliard, N. A. Slavnov
Format:	Article
Language:	English
Published:	SpringerOpen 2018-04-01
Series:	Journal of High Energy Physics
Subjects:	Integrable Hierarchies Quantum Groups
Online Access:	http://link.springer.com/article/10.1007/JHEP04(2018)031

Similar Items

3D bosons, 3-Jack polynomials and affine Yangian of gl 1 $$ \mathfrak{gl}(1) $$
by: Na Wang, et al.
Published: (2023-03-01)

U q sl 2 $$ {U}_{\mathfrak{q}}{\mathfrak{sl}}_2 $$ -invariant non-compact boundary conditions for the XXZ spin chain
by: Dmitry Chernyak, et al.
Published: (2022-11-01)

Super-Schur polynomials for Affine Super Yangian Y( gl ̂ $$ \hat{\mathfrak{gl}} $$ 1|1)
by: Dmitry Galakhov, et al.
Published: (2023-08-01)

Scalar products and norm of Bethe vectors for integrable models based on $U_q(\widehat{\mathfrak{gl}}_{n})$
by: A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov
Published: (2018-01-01)

The quantum UV-IR map for line defects in gl $$ \mathfrak{gl} $$ (3)-type class S theories
by: Andrew Neitzke, et al.
Published: (2022-09-01)

5d AGT correspondence of supergroup gauge theories from quantum toroidal gl $$ \mathfrak{gl} $$ 1
by: Go Noshita
Published: (2022-12-01)

3-Schurs from explicit representation of Yangian Y gl ̂ 1 $$ \textrm{Y}\left({\hat{\mathfrak{gl}}}_1\right) $$ . Levels 1–5
by: A. Morozov, et al.
Published: (2023-11-01)

On Singular Localization of $\mathfrak{g}$-modules
by: Backelin, E, et al.
Published: (2010)

Projective class ring of a restricted quantum group $ \overline{U}_{q}(\mathfrak{sl}^{*}_2) $
by: Pengcheng Ji, et al.
Published: (2023-06-01)

The linear $\protect \mathfrak{n}(1|N)$–invariant differential operators and $\protect \mathfrak{n}(1|N)$–relative cohomology
by: Khalfoun, Hafedh, et al.
Published: (2020-03-01)

Fixed point for an $ \mathbb{O}g\mathfrak{F} $-c in $ \mathbb{O} $-complete $ \mathfrak{b} $-metric-like spaces
by: Senthil Kumar Prakasam, et al.
Published: (2023-01-01)

Symmetric deformed 2D/3D Hurwitz–Kontsevich model and affine Yangian of $${\mathfrak {gl}}(1)$$ gl ( 1 )
by: Wang Na, et al.
Published: (2023-07-01)

Norm of Bethe vectors in models with gl(m|n) symmetry
by: A. Hutsalyuk, et al.
Published: (2018-01-01)

A new class of higher quantum Airy structures as modules of $\mathcal{W}(\mathfrak{gl}_r)$-algebras
by: Vincent Bouchard, Kieran Mastel
Published: (2023-06-01)

Zeros of systems of ${\mathfrak p}$-adic Quadratic Forms
by: Heath-Brown, D
Published: (2010)

Hypersurfaces of revolution family supplying $ \Delta \mathfrak{r} = \mathcal{A}\mathfrak{r} $ in pseudo-Euclidean space $ \mathbb{E}_{3}^{7} $
by: Yanlin Li, et al.
Published: (2023-08-01)

Quantum codes from $ \sigma $-dual-containing constacyclic codes over $ \mathfrak{R}_{l, k} $
by: Xiying Zheng, et al.
Published: (2023-08-01)

Fixed point theorems for generalized contractions in $ \mathfrak{F} $-bipolar metric spaces with applications
by: Amer Hassan Albargi
Published: (2023-11-01)

AdS3 vacua realising osp $$ \mathfrak{osp} $$ (n|2) superconformal symmetry
by: Niall T. Macpherson, et al.
Published: (2023-08-01)

$$\underline{p}$$ p ̲ -reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$ W -algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$ W ( gl N , p ̲ )
by: Carpentier, Sylvain, et al.
Published: (2021)

On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$
by: McGerty, K
Published: (2010)

Symmetry algebra for the generic superintegrable system on the sphere
by: Plamen Iliev
Published: (2018-02-01)

An embedding of the Bannai–Ito algebra in $$\mathscr {U}(\mathfrak {osp}(1,2))$$ U ( osp ( 1 , 2 ) ) and $$-1$$ - 1 polynomials
by: Baseilhac, Pascal, et al.
Published: (2021)

On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains
by: Kang Lu
Published: (2023-04-01)

Selection of Output Voltage Compensators Gains in Two Cascaded Boost Converters with Input Filters by Means of the \({\mathfrak{D}}\)-Decomposition Technique
by: Karol Najdek, et al.
Published: (2021-09-01)

Neutrino Oscillations and Lorentz Invariance Violation
by: Marco Danilo Claudio Torri
Published: (2020-02-01)

Completeness of Bethe Ansatz for Gaudin Models with 𝔤𝔩(1|1) Symmetry and Diagonal Twists
by: Kang Lu
Published: (2022-12-01)

Hans Bethe, My Teacher
by: Jackiw, Roman
Published: (2010)

Spread complexity for measurement-induced non-unitary dynamics and Zeno effect
by: Aranya Bhattacharya, et al.
Published: (2024-03-01)

Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss
by: Berislav Buča, et al.
Published: (2020-01-01)

${\mathcal{L}}$ -INVARIANTS AND LOCAL–GLOBAL COMPATIBILITY FOR THE GROUP $\text{GL}_{2}/F$
by: YIWEN DING
Published: (2016-01-01)

Some results on principal series for GL(n,R).
by: Speh, Birgit Else Marie
Published: (2017)

Fixed-point results via $ \alpha_{i}^{j} $-$ \left({\bf D}_{{\mathscr{C}}}\left(\mathfrak{P}_{\hat E}\right)\right) $-contractions in partial $ \flat $-metric spaces
by: Leyla Sağ Dönmez, et al.
Published: (2023-08-01)

Using Vector-Product Loop Algebra to Generate Integrable Systems
by: Jian Zhang, et al.
Published: (2023-08-01)

Modified algebraic Bethe ansatz for XXZ chain on the segment – III – Proof
by: J. Avan, et al.
Published: (2015-10-01)

A note on rank 5/2 Liouville irregular block, Painlevé I and the H $$ \mathcal{H} $$ 0 Argyres-Douglas theory
by: Hasmik Poghosyan, et al.
Published: (2023-11-01)

Gauge-Invariant Perturbations at a Quantum Gravity Bounce
by: Steffen Gielen, et al.
Published: (2022-12-01)

Integrable coupled bosonic massive Thirring model and its nonlocal reductions
by: B. Basu-Mallick, et al.
Published: (2024-03-01)

Integrable coupled massive Thirring model with field values in a Grassmann algebra
by: B. Basu-Mallick, et al.
Published: (2023-11-01)

From one to infinity: symmetries of integrable systems
by: S. Y. Lou, et al.
Published: (2024-02-01)