Interior analysis, stretched technique and bubbling geometries

Jia, Qiuye; Lin, Hai

doi:10.1016/j.aop.2024.169616

Annals of Physics

2024

DOI: 10.1016/j.aop.2024.169616

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Interior analysis, stretched technique and bubbling geometries

Qiuye Jia,

Hai Lin

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2024

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Cited by 2 publications

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The geometry of large charge multi-traces in $$ \mathcal{N} $$ = 4 SYM

Giusto,

Rosso

2024

J. High Energ. Phys.

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We construct a one-parameter family of half-BPS solutions of type IIB supergravity using a consistent truncation to gauged five-dimensional supergravity. For small values of the parameter, the solution reduces to the linear perturbation of AdS5 × S5 dual to the chiral primary operator in the stress-tensor multiplet, and we give evidence that the geometry is regular and asymptotes AdS in a normalisable way for arbitrarily large values of the parameter. We conjecture that the solution is the gravity dual of a “heavy” multi-trace operator in $$ \mathcal{N} $$ N = 4 SU(N) Super Yang-Mills made by p copies of the stress-tensor chiral primary operator, with p of order N2 in the large N limit. We perform some holographic checks supporting this duality map.

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The geometry of large charge multi-traces in $$ \mathcal{N} $$ = 4 SYM

Giusto,

Rosso

2024

J. High Energ. Phys.

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Four-point correlators in $$ \mathcal{N} $$ = 4 SYM from AdS5 bubbling geometries

Turton,

Tyukov

2024

J. High Energ. Phys.

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Four-point correlation functions are observables of significant interest in holographic field theories. We compute an infinite family of four-point correlation functions of operators in short multiplets of 4D $$ \mathcal{N} $$ N = 4 super Yang-Mills theory in the supergravity regime, by studying the quadratic fluctuations around non-trivial supergravity backgrounds. The supergravity backgrounds are supersymmetric smooth geometries in the family derived by Lin, Lunin and Maldacena. The light probes comprise an infinite sequence of Kaluza-Klein harmonics of the dilaton/axion. For generic parameter values, the supergravity backgrounds are dual to heavy CFT states. However we focus on the limit in which the dual CFT states become light single-particle states. The resulting all-light four-point correlators are related by superconformal Ward identities to previously known four-point correlators of half-BPS chiral primary operators. By verifying that the Ward identities are satisfied, we confirm the validity of the supergravity method.

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Interior analysis, stretched technique and bubbling geometries

Cited by 2 publications

References 121 publications

The geometry of large charge multi-traces in $$ \mathcal{N} $$ = 4 SYM

The geometry of large charge multi-traces in $$ \mathcal{N} $$ = 4 SYM

Four-point correlators in $$ \mathcal{N} $$ = 4 SYM from AdS5 bubbling geometries

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