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AdS/CFT correspondence

About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.


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TL;DR: In this paper, a refined large spin limit for twist operators in the sl(2) sector of AdS/CFT was studied and a non-perturbative equation for the generalized two-parameter scaling function associated with this limit was derived for weak coupling.
Abstract: We study a refined large spin limit for twist operators in the sl(2) sector of AdS/CFT. We derive a novel non-perturbative equation for the generalized two-parameter scaling function associated with this limit, and analyze it for weak coupling. It is expected to smoothly interpolate between weakly coupled gauge theory and string theory for strong coupling.

130 citations

Journal ArticleDOI
TL;DR: In this article, an effective field theory for general chaotic two-dimensional conformal field theories with a large central charge was derived, which is a specific and calculable instance of a more general framework recently proposed in [1].
Abstract: We derive an effective field theory for general chaotic two-dimensional conformal field theories with a large central charge. The theory is a specific and calculable instance of a more general framework recently proposed in [1]. We discuss the gauge symmetries of the model and how they relate to the Lyapunov behaviour of certain correlators. We calculate the out-of-time-ordered correlators diagnosing quantum chaos, as well as certain more fine-grained higher-point generalizations, using our Lorentzian effective field theory. We comment on potential future applications of the effective theory to real-time thermal physics and conformal field theory.

130 citations

Journal ArticleDOI
TL;DR: In this paper, a comprehensive discussion of renormalisation of 3-point functions of scalar operators in conformal field theories in general dimension is presented, where the authors show that conformal symmetry uniquely determines the momentum-space 3point functions in terms of certain integrals involving a product of three Bessel functions (triple-K integrals).
Abstract: We present a comprehensive discussion of renormalisation of 3-point functions of scalar operators in conformal field theories in general dimension. We have previously shown that conformal symmetry uniquely determines the momentum-space 3-point functions in terms of certain integrals involving a product of three Bessel functions (triple-K integrals). The triple-K integrals diverge when the dimensions of operators satisfy certain relations and we discuss how to obtain renormalised 3-point functions in all cases. There are three different types of divergences: ultralocal, semilocal and nonlocal, and a given divergent triple-K integral may have any combination of them. Ultralocal divergences may be removed using local counterterms and this results in new conformal anomalies. Semilocal divergences may be removed by renormalising the sources, and this results in CFT correlators that satisfy Callan-Symanzik equations with beta functions. In the case of non-local divergences, it is the triple-K representation that is singular, not the 3-point function. Here, the CFT correlator is the coefficient of the leading nonlocal singularity, which satisfies all the expected conformal Ward identities. Such correlators exhibit enhanced symmetry: they are also invariant under dual conformal transformations where the momenta play the role of coordinates. When both anomalies and beta functions are present the correlators exhibit novel analytic structure containing products of logarithms of momenta. We illustrate our discussion with numerous examples, including free field realisations and AdS/CFT computations.

130 citations

Journal ArticleDOI
TL;DR: In this paper, a twisted stress tensor is used to generate conformal diffeomorphisms for two-dimensional Maxwell-dilaton quantum gravity on AdS2 with radius l and a constant electric field E. The resulting conformal transformations are generated by a twisted tensor, which has a central charge c = 3kE2l4/4 where k is the level of the U(1) current.
Abstract: Two-dimensional Maxwell-dilaton quantum gravity on AdS2 with radius l and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the usual conformal diffeomorphisms must be accompanied by a certain U(1) gauge transformation. The resulting conformal transformations are generated by a twisted stress tensor, which has a central charge c = 3kE2l4/4 where k is the level of the U(1) current. This is an AdS2 analog of the Brown-Henneaux formula c = 3l/2G for the central charge of quantum gravity on AdS3.

130 citations

Journal ArticleDOI
TL;DR: In this article, a path-integral optimization for two-dimensional conformal field theories perturbed by relevant operators is formulated, based on calculations in free field theories as well as general arguments of RG flows in field theories.
Abstract: In this work, we formulate a path-integral optimization for two dimensional conformal field theories perturbed by relevant operators. We present several evidences how this optimization mechanism works, based on calculations in free field theories as well as general arguments of RG flows in field theories. Our optimization is performed by minimizing the path-integral complexity functional that depends on the metric and also on the relevant couplings. Then, we compute the optimal metric perturbatively and find that it agrees with the time slice of the hyperbolic metric perturbed by a scalar field in the AdS/CFT correspondence. Last but not the least, we estimate contributions to complexity from relevant perturbations.

130 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2021234
2020348
2019387
2018368
2017393
2016413