DZDe-Liang Zhong

De-Liang Zhong

Imperial College London
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De-Liang Zhong has a total of 29 co-authors. Here are the top co-authors by number of shared publications:

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    Correlation Functions in Integrable Higher Dimensional CFTs

    by Deliang Zhong

    Fonctions de corrélation dans les théories de champ conforme intégrables de dimension supérieure: Dans cette thèse, nous étudions les fonctions de corrélation à deux points ou plus de la théorie N = 4 super Yang-Mills (SYM) et ses déformations. On pense que cette théorie et ses déformations sont intégrables dans la limite planaire pour toutes les valeurs de la constante de couplage, ce qui nous permet de calculer plus efficacement diverses grandeurs physiques. Nous commençons par passer en revue les bases de la théorie N = 4 SYM et les outils d’intégrabilité nécessaires. Dans la partie II, nous présentons le formalisme en hexagone pour le calcul des constantes de structure de la théorie N = 4 SYM. En utilisant l’ansatz de Bethe imbriqué, nous étudions la constante de structure de deux opérateurs BPS et d’un opérateur non BPS du sous-secteur su (1, 1 | 2) dans les limites de couplage faible et forte. Le résultat de couplage faible est appliqué à l’étude du développement en ondes partielles conformes des fonctions asymptotiques à quatre points. A fort couplage, le résultat est appliqué pour le calcul des constantes de structure Heavy-Heavy-Light. Dans la partie III, nous nous concentrons sur une limite de double échelle particulière de la théorie N = 4 SYM, la limite de fishnet. Le lagrangien est obtenu à partir du processus de déformation et nous en présentons les théorèmes de non-renormalisation. En outre, nous donnons la première preuve de la symétrie du Yangien pour une grande classe de diagrammes de fishnet, en utilisant la fameuse relation RTT de l’intégrabilité. En utilisant les techniques d'intégrabilité héritées de la théorie N = 4 SYM, nous trouvons également que la limite du continuum des diagrammes de Feynman en fishnet peut être décrit comme un modèle sigma AdS.

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    AdS3 × S3 Virasoro-Shapiro amplitude with KK modes

    by Hongliang Jiang, De-Liang Zhong

    A bstract: We study the first curvature correction to the string amplitude of four Kaluza-Klein (KK) modes on AdS 3 × S 3 × M 4 , with M 4 = K 3 or T 4 , in type IIB string theory, which is holographically dual to the four-point correlator $$ \left\langle {\mathcal{O}}_{p1}{\mathcal{O}}_{p2}{\mathcal{O}}_{p3}{\mathcal{O}}_{p4}\right\rangle $$ O p 1 O p 2 O p 3 O p 4 of certain half-BPS operators in the boundary D1–D5 CFT. The result takes the form of an integral over the Riemann sphere, analogous to the flat-space Virasoro-Shapiro amplitude, but with insertions of single-valued multiple polylogarithms of weight three. Our results are obtained in two steps. First, we derive the AdS 3 × S 3 Virasoro-Shapiro amplitude in the special case $$ \left\langle {\mathcal{O}}_p{\mathcal{O}}_p{\mathcal{O}}_1{\mathcal{O}}_1\right\rangle $$ O p O p O 1 O 1 , by matching the CFT block expansion with an ansatz based on single-valued multiple polylogarithms. We then employ the AdS × S Mellin formalism to generalize the result to the general case of four arbitrary KK modes $$ \left\langle {\mathcal{O}}_{p1}{\mathcal{O}}_{p2}{\mathcal{O}}_{p3}{\mathcal{O}}_{p4}\right\rangle $$ O p 1 O p 2 O p 3 O p 4 . Our analysis yields an infinite set of results for operator anomalous dimensions and OPE data in D1–D5 CFT at strong coupling. In particular, the resulting scaling dimensions of certain operators are shown to be consistent with classical string theory computations.

    Cited by 13
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    Universal constraints for conformal line defects

    by Barak Gabai, Amit Sever, De-Liang Zhong

    We present a novel framework for deriving integral constraints for correlators on conformal line defects. These constraints emerge from the nonlinearly realized ambient-space conformal symmetry. To validate our approach, we examine several examples and compare them against existing data for the four-point function of the displacement operator. Additionally, we provide a few new predictions that extend the current understanding of these correlators.

    Cited by 17
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    $AdS_3 \times S^3$ Virasoro-Shapiro amplitude with KK modes

    by Hongliang Jiang, De-Liang Zhong

    We study the first curvature correction to the string amplitude of four Kaluza--Klein (KK) modes on $AdS_3 \times S^3 \times M_4$, with $M_4=K3$ or $T^4$, in type IIB string theory, which is holographically dual to the four--point correlator $\langle \mathcal{O}_{p_1} \mathcal{O}_{p_2} \mathcal{O}_{p_3} \mathcal{O}_{p_4} \rangle$ of certain half--BPS operators in the boundary D1--D5 CFT. The result takes the form of an integral over the Riemann sphere, analogous to the flat-space Virasoro--Shapiro amplitude, but with insertions of single-valued multiple polylogarithms of weight three. Our results are obtained in two steps. First, we derive the $AdS_3 \times S^3$ Virasoro--Shapiro amplitude in the special case $\langle \mathcal{O}_{p} \mathcal{O}_{p} \mathcal{O}_{1} \mathcal{O}_{1} \rangle$, by matching the CFT block expansion with an ansatz based on single-valued multiple polylogarithms. We then employ the $AdS \times S$ Mellin formalism to generalize the result to the general case of four arbitrary KK modes $\langle \mathcal{O}_{p_1} \mathcal{O}_{p_2} \mathcal{O}_{p_3} \mathcal{O}_{p_4} \rangle$. Our analysis yields an infinite set of results for operator anomalous dimensions and OPE data in D1--D5 CFT at strong coupling. In particular, the resulting scaling dimensions of certain operators are shown to be consistent with classical string theory computations.

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    The type IIA Virasoro-Shapiro amplitude in AdS4 × CP3 from ABJM theory

    by Shai M. Chester, Tobias Hansen, De-Liang Zhong

    We consider tree level scattering of gravitons in type IIA string theory on AdS 4 × $$ {\mathbbm{CP}}^3 $$ CP 3 to all orders in α ′, which is dual to the stress tensor correlator in U(N) k × U(N)−k ABJM theory in the planar large N limit and to all orders in large λ ~ N/k. The small curvature expansion of this correlator, defined via a Borel transform, is given by the flat space Virasoro-Shapiro amplitude plus AdS curvature corrections. We fix curvature corrections by demanding that their resonances are consistent with the superconformal block expansion of the correlator and with a worldsheet ansatz in terms of single-valued multiple polylogarithms. The first correction is fully fixed in this way, and matches independent results from integrability, as well as the R 4 correction at finite AdS curvature that was previously fixed using supersymmetric localization. We are also able to fix the second curvature correction by using a few additional assumptions, and find that it also satisfies various non-trivial consistency checks. We use our results to fix the tree level D 4 R 4 correction at finite AdS curvature, and to give many predictions for future integrability studies.

    Cited by 28
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    AdS3×S3 Virasoro-Shapiro Amplitude with Ramond-Ramond Flux

    by Shai M. Chester, De-Liang Zhong

    We compute the anti–de Sitter Virasoro-Shapiro amplitude for scattering of dilatons in type IIB string theory with pure Ramond-Ramond flux on AdS 3 × S 3 × M 4 for M 4 = T 4 or K 3 , to all orders in α ′ in a small anti–de Sitter curvature expansion. This is achieved by comparing the flat space limit of the dual D1D5 conformal field theory correlator to an ansatz for the amplitude as a world-sheet integral in terms of single valued multiple polylogarithms. The first curvature correction is fully fixed in this way, and satisfies consistency checks in the high energy limit, and by comparison of the energy of massive string operators to a semiclassical expansion. Our result gives infinite predictions for conformal field theory data in the planar limit at strong coupling, which can guide future integrability studies. Published by the American Physical Society 2025

    Cited by 22
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    Erratum to: Bootstrapping smooth conformal defects in Chern-Simons-matter theories

    by Barak Gabai, Amit Sever, De-Liang Zhong

    A correction to this paper has been published: https://doi.org/10.1007/JHEP03(2024)055

    Cited by 4
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    Complexity measure diagnostics of ergodic to many-body localization transition

    by Khen Cohen, Yaron Oz, De-Liang Zhong

    We introduce diagnostics of the transition between the ergodic and many-body localization phases, which are based on complexity measures defined via the probability distribution function of the Lanczos coefficients of the tridiagonalized Hamiltonian. We use these complexity measures to analyze the power-law random banded matrix model as a function of the correlation strength and show that the moments and the entropy of the distribution diagnose the ergodic to many-body transition, as well as the distinctive feature of the phases concerning the memory of the initial conditions. Published by the American Physical Society 2024

    Cited by 6
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    Planar RG flows on line defects

    by Ivri Nagar, Amit Sever, De-Liang Zhong

    We study a class of renormalization group flows on line defects that can be described by a generalized free field with ordered planar contractions on the line. They are realized, for example, in large N gauge theories with matter in the fundamental representation and arise generically in non-relativistic CFTs. We analyze the flow exactly and compute the change in the g-function between the UV and IR fixed points. We relate the result to the change in the two-point function of the displacement operator and check the monotonicity of the defect entropy along the flow analytically. Finally, we give a general realization of this type of flow starting from the direct sum of the IR fixed point and a trivial line. This type of defect renormalization group flow parallels the well-studied case of double-trace flow.

    Cited by 16
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    The AdS Veneziano amplitude at small curvature

    by Luis F. Alday, Shai M. Chester, Tobias Hansen, De-Liang Zhong

    We compute the AdS Veneziano amplitude for type IIB gluon scattering in AdS 5 × S 3 to all orders in α ′ in a small curvature expansion. This is achieved by combining a dispersion relation in the dual 4d $$ \mathcal{N} $$ N = 2 SCFT with an ansatz for the amplitude as a worldsheet integral in terms of multiple polylogarithms. The first curvature correction is fully fixed in this way and satisfies consistency checks in the high energy limit, the low energy expansion as previously fixed using supersymmetric localisation, and for the energy of massive string operators, which we independently compute using a semiclassical expansion. We also combine localisation with this first curvature correction to fix the unprotected D 4 F 4 correction to the amplitude at finite curvature.

    Cited by 47
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