Three-point functions in ABJM and Bethe Ansatz
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2022)002
Abstract: We develop an integrability-based framework to compute structure constants of two sub-determinant operators and a single-trace non-BPS operator in ABJM theory in the planar limit. In this first paper, we study them at weak coupling… read more here.
Keywords: determinant; three point; point functions; bethe ansatz ... See more keywords
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2019.114824
Abstract: Abstract An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in… read more here.
Keywords: wilson; bethe ansatz; heun askey; askey wilson ... See more keywords
Quantum dot in interacting environments
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.97.155426
Abstract: A quantum impurity attached to an interacting quantum wire gives rise to an array of of new phenomena. Using Bethe Ansatz we solve exactly models describing two geometries of a quantum dot coupled to an… read more here.
Keywords: dot interacting; thermodynamics; quantum dot; bethe ansatz ... See more keywords
Emergent holographic description for the Kondo effect: Comparison with Bethe ansatz
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.105012
Abstract: Implementing Wilsonian renormalization group transformations in an iterative way, we develop a nonperturbative field theoretical framework for strongly coupled quantum theories, which takes into account all-loop quantum corrections organized in the $1/N$ expansion. Here, $N$… read more here.
Keywords: emergent holographic; field; bethe ansatz; kondo effect ... See more keywords
Completeness of Bethe Ansatz for Gaudin Models with gl(1|1) Symmetry and Diagonal Twists
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DOI: 10.3390/sym15010009
Abstract: We studied the Gaudin models with gl(1|1) symmetry that are twisted by a diagonal matrix and defined on tensor products of polynomial evaluation gl(1|1)[t]-modules. Namely, we gave an explicit description of the algebra of Hamiltonians… read more here.
Keywords: gaudin models; bethe ansatz; ansatz gaudin; algebra hamiltonians ... See more keywords