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The mapping between bulk supergravity fields in anti-de Sitter space and operators in the dual boundary conformal field theory usually relies heavily on the available global symmetries. In the present work, we study a generalization of this…

高能物理 - 理论 · 物理学 2009-01-01 David A Lowe , Shubho Roy

We describe probes of anti-de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states -- classical bulk field configurations are dual to expectation…

高能物理 - 理论 · 物理学 2009-10-31 Vijay Balasubramanian , Per Kraus , Albion Lawrence , Sandip Trivedi

We study the general spherical symmetric solutions of dilaton-modulus gravity non-minimally coupled to a Maxwell field, using methods from the theory of dynamical systems. We show that the solutions can be classified by the mass, the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S. Mignemi

This paper investigates holographic torus correlators of generic operators at conformal infinity and a finite cutoff within AdS$_3$ gravity coupled with a free scalar field. Using a near-boundary analysis and solving the gravitational…

高能物理 - 理论 · 物理学 2024-05-27 Song He , Yun-Ze Li , Yunda Zhang

We include a new 7-form ansatz in 11-dimensional supergravity over AdS_4 x S^7/Z_k when the internal space is considered as a U(1) bundle on CP^3. After a general analysis of the ansatz, we take a special form of it and obtain a scalar…

高能物理 - 理论 · 物理学 2018-08-02 M. Naghdi

With a 4-form ansatz of 11-dimensional supergravity over non-dynamical AdS$_4 \times S^7/Z_k$ background, with the internal space as a $S^1$ Hopf fibration on CP$^3$, we get a consistent truncation. The (pseudo)scalars, in the resulting…

高能物理 - 理论 · 物理学 2024-03-18 M. Naghdi

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary…

高能物理 - 理论 · 物理学 2009-11-11 Donald Marolf , Simon Ross

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

高能物理 - 理论 · 物理学 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

There is an avatar of the little hierarchy problem of the MSSM in 3-dimensional supersymmetry. We propose a solution to this problem in AdS$_3$ based on the AdS/CFT correspondence. The bulk theory is a supergravity theory in which U(1)…

高能物理 - 理论 · 物理学 2016-06-22 Xi Dong , Daniel Z. Freedman , Yue Zhao

We continue to develop the holographic interpretation of classical conformal blocks in terms of particles propagating in an asymptotically $AdS_3$ geometry. We study $n$-point block with two heavy and $n-2$ light fields. Using the worldline…

高能物理 - 理论 · 物理学 2015-09-30 K. B. Alkalaev , V. A. Belavin

We describe what can be called the "universal" phase space of AdS3 gravity, in which the moduli spaces of globally hyperbolic AdS spacetimes with compact spatial sections, as well as the moduli spaces of multi-black-hole spacetimes are…

高能物理 - 理论 · 物理学 2013-07-09 Carlos Scarinci , Kirill Krasnov

We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS$_2$, and subject to a delta function potential at the center…

高能物理 - 理论 · 物理学 2017-09-20 Sumit R. Das , Antal Jevicki , Kenta Suzuki

We study the Feynman propagator of free scalar fields in $AdS_3$ with a conical defect. The propagator is built by solving the bulk equation of motion, summing over the modes of the field, and taking the boundary limit. We then perform…

高能物理 - 理论 · 物理学 2024-04-30 David Berenstein , David Grabovsky , Ziyi Li

Assuming the existence of a field theory in D dimensions dual to (D+1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review…

高能物理 - 理论 · 物理学 2017-02-01 Arjun Bagchi , Rudranil Basu , Ashish Kakkar , Aditya Mehra

We consider a moduli space of lattice polarized K3 surfaces with the additional information of a frame of the trascendental cohomology with respect to the lattice polarization. This moduli space is proved to be quasi-affine, and the…

代数几何 · 数学 2024-04-11 Walter Páez Gaviria

We give a complete theta expression of a pair of Hermitian modular forms as an inverse period mapping of lattice polarized $K3$ surfaces. Our result gives a non-trivial relation among moduli of $K3$ surfaces, theta functions and the finite…

数论 · 数学 2024-08-13 Atsuhira Nagano , Hironori Shiga

We use the relation between certain diffeomorphisms in the bulk and Weyl transformations on the boundary to build the conformal structure of the metric in the presence of matter in the bulk. We explicitly obtain the conformal anomaly in any…

高能物理 - 理论 · 物理学 2013-10-23 Mozhgan Mir

Holographic CFTs admit a dual emergent description in terms of semiclassical general relativity minimally coupled to matter fields. While the gravitational interactions are required to be suppressed by the Planck scale, the matter sector is…

高能物理 - 理论 · 物理学 2025-12-03 Luis Apolo , Alexandre Belin , Suzanne Bintanja

The large radius limit in the AdS/CFT correspondence is expected to provide a holographic derivation of flat-space scattering amplitudes. This suggests that questions of locality in the bulk should be addressed in terms of properties of the…

高能物理 - 理论 · 物理学 2009-10-31 Steven B. Giddings

In this paper we investigate gravitational interactions of massive higher spin fields in three dimensional $AdS$ space with arbitrary value of cosmological constant including flat Minkowski space. We use frame-like gauge description for…

高能物理 - 理论 · 物理学 2015-06-11 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev