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Hui-Huang Chen

Other affiliations: Chinese Academy of Sciences
Bio: Hui-Huang Chen is an academic researcher from Jiangxi Normal University. The author has contributed to research in topics: Bethe ansatz & Integrable system. The author has an hindex of 7, co-authored 17 publications receiving 84 citations. Previous affiliations of Hui-Huang Chen include Chinese Academy of Sciences.

Papers
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Journal ArticleDOI
TL;DR: In this article, the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) was considered and the symmetry resolved Renyi relative entropy between one interval reduced density matrices of CFT primary states using the replica method was obtained.
Abstract: We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal $U(1)$ symmetry. We calculate various symmetry resolved Renyi relative entropies between one interval reduced density matrices of CFT primary states using the replica method. By taking the replica limit, the symmetry resolved relative entropy can be obtained. We also take the XX spin chain model as a concrete lattice realization of this CFT to perform numerical computation. The CFT predictions are tested against exact numerical calculations finding perfect agreement.

40 citations

Journal ArticleDOI
TL;DR: In this paper, the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) was considered and the symmetry resolved Renyi relative entropy between one interval reduced density matrices of CFT primary states using the replica method was obtained.
Abstract: We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal U(1) symmetry. We calculate various symmetry resolved Renyi relative entropies between one interval reduced density matrices of CFT primary states using the replica method. By taking the replica limit, the symmetry resolved relative entropy can be obtained. We also take the XX spin chain model as a concrete lattice realization of this CFT to perform numerical computation. The CFT predictions are tested against exact numerical calculations finding perfect agreement.

24 citations

Journal ArticleDOI
TL;DR: In this article, the mixing problem of the determinantlike operators in ABJM theory to two-loop order in the scalar sector was studied, where the gravity duals of these operators are open strings attached to the maximal gia...
Abstract: We study the mixing problem of the determinantlike operators in ABJM theory to two-loop order in the scalar sector. The gravity duals of these operators are open strings attached to the maximal gia ...

14 citations

Journal ArticleDOI
TL;DR: In this paper, the authors compute the two-loop anomalous dimension matrix in the scalar sector of planar hyperspheres of ABJM theory and obtain the reflection matrices and confirm that boundary Yang-Baxter equations are satisfied.
Abstract: We compute the two-loop anomalous dimension matrix in the scalar sector of planar $$ \mathcal{N}=3 $$ flavored ABJM theory. Using coordinate Bethe ansatz, we obtain the reflection matrices and confirm that the boundary Yang-Baxter equations are satisfied. This establishes the integrability of this theory in the scalar sector at the two-loop order.

12 citations


Cited by
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Proceedings ArticleDOI
01 Oct 2004

262 citations

Journal ArticleDOI
TL;DR: In this article, the problem of decomposition of the Renyi entanglement entropies in theories with a non-abelian symmetry has been studied, and it has been shown that at leading order in the subsystem size L, the Entanglement is equally distributed among the different sectors labelled by the irreducible representation of the associated algebra.
Abstract: We consider the problem of the decomposition of the Renyi entanglement entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess-Zumino-Witten (WZW) models. We first consider SU(2)k as a case study and then generalise to an arbitrary non-abelian Lie group. We find that at leading order in the subsystem size L the entanglement is equally distributed among the different sectors labelled by the irreducible representation of the associated algebra. We also identify the leading term that breaks this equipartition: it does not depend on L but only on the dimension of the representation. Moreover, a log log L contribution to the Renyi entropies exhibits a universal prefactor equal to half the dimension of the Lie group.

52 citations

Journal ArticleDOI
TL;DR: In this article, it has been shown that the Yang-Baxter deformation in target space is simply an open-closed string map that can be defined for any geometry, not just coset spaces.
Abstract: Yang-Baxter string sigma-models provide a systematic way to deform coset geometries, such as AdSp × Sp, while retaining the σ-model integrability. It has been shown that the Yang-Baxter deformation in target space is simply an open-closed string map that can be defined for any geometry, not just coset spaces. Given a geometry with an isometry group and a bivector that is assumed to be a linear combination of antisymmetric products of Killing vectors, we show the equations of motion of (generalized) supergravity reduce to the Classical Yang-Baxter Equation associated with the isometry group, proving the statement made in [1]. These results bring us closer to the proof of the “YB solution generating technique” for (generalized) supergravity advertised in [1] and in particular provide an economical way to perform TsT transformations.

50 citations

Posted Content
TL;DR: In this paper, a doubly-scaled asymptotic Bethe ansatz (ABA) equation for the SYM and ABJM theories is introduced, which is shown to be integrable in the planar limit.
Abstract: We consider a special double scaling limit, recently introduced by two of the authors, combining weak coupling and large imaginary twist, for the $\gamma$-twisted $\mathcal{N}=4$ SYM theory. We also establish the analogous limit for ABJM theory. The resulting non-gauge chiral 4D and 3D theories of interacting scalars and fermions are integrable in the planar limit. In spite of the breakdown of conformality by double-trace interactions, most of the correlators for local operators of these theories are conformal, with non-trivial anomalous dimensions defined by specific, integrable Feynman diagrams. We discuss the details of this diagrammatics. We construct the doubly-scaled asymptotic Bethe ansatz (ABA) equations for multi-magnon states in these theories. Each entry of the mixing matrix of local conformal operators in the simplest of these theories - the bi-scalar model in 4D and tri-scalar model in 3D - is given by a single Feynman diagram at any given loop order. The related diagrams are in principle computable, up to a few scheme dependent constants, by integrability methods (quantum spectral curve or ABA). These constants should be fixed from direct computations of a few simplest graphs. This integrability-based method is advocated to be able to provide information about some high loop order graphs which are hardly computable by other known methods. We exemplify our approach with specific five-loop graphs.

47 citations

Journal ArticleDOI
TL;DR: In this article, the authors developed a systematic approach to compute the subsystem trace distances and relative entropies for subsystem reduced density matrices associated to excited states in different symmetry sectors of a 1+1 dimensional conformal field theory having an internal U(1) symmetry.
Abstract: We develop a systematic approach to compute the subsystem trace distances and relative entropies for subsystem reduced density matrices associated to excited states in different symmetry sectors of a 1+1 dimensional conformal field theory having an internal U(1) symmetry. We provide analytic expressions for the charged moments corresponding to the resolution of both relative entropies and distances for general integer $n$. For the relative entropies, these formulas are manageable and the analytic continuation to $n=1$ can be worked out in most of the cases. Conversely, for the distances the corresponding charged moments become soon untreatable as $n$ increases. A remarkable result is that relative entropies and distances are the same for all symmetry sectors, i.e. they satisfy entanglement equipartition, like the entropies. Moreover, we exploit the OPE expansion of composite twist fields, to provide very general results when the subsystem is much smaller than the total system. We focus on the massless compact boson and our results are tested against exact numerical calculations in the XX spin chain.

45 citations