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We study spherically symmetric soliton solutions in a model with a conformally coupled scalar field as well as in full conformal gravity. We observe that a new type of limiting behaviour appears for particular choices of the self-coupling…

广义相对论与量子宇宙学 · 物理学 2013-11-20 Yves Brihaye , Betti Hartmann , Sardor Tojiev

Utilizing the conformal-flatness nature of 3-dim. Anti-de Sitter (AdS_3) black hole solution of Banados, Teitelboim and Zanelli, the quantisation of conformally-coupled scalar and spinor fields in this background spacetime is explicitly…

高能物理 - 理论 · 物理学 2009-10-30 Hongsu Kim , Jae-Sok Oh , Changrim Ahn

We study classical scalar fields in asymptotically Lifshitz spacetimes. By evading Derrick's theorem requiring the scalar potential to explicitly depend on the background coordinates, we induce a diffeomorphism invariance breaking and…

高能物理 - 理论 · 物理学 2023-01-11 D. C. Moreira , F. A Brito , J. C. Mota-Silva

We give an effective field theory derivation, based on the running of Planck brane gauge correlators, of the large logarithms that arise in the predictions for low energy gauge couplings in compactified AdS}_5 backgrounds, including the…

高能物理 - 唯象学 · 物理学 2008-11-26 Walter D. Goldberger , Ira Z. Rothstein

We consider a massive scalar field theory in anti-de Sitter space, in both minimally and non-minimally coupled cases. We introduce a relevant double-trace perturbation at the boundary, by carefully identifying the correct source and…

高能物理 - 理论 · 物理学 2009-11-10 Pablo Minces

We provide a deep Boltzmann machine (DBM) for the AdS/CFT correspondence. Under the philosophy that the bulk spacetime is a neural network, we give a dictionary between those, and obtain a restricted DBM as a discretized bulk scalar field…

高能物理 - 理论 · 物理学 2019-06-05 Koji Hashimoto

One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algebraic curve, many constructions of interest in physics (which…

高能物理 - 理论 · 物理学 2017-07-05 Matthew Heydeman , Matilde Marcolli , Ingmar Saberi , Bogdan Stoica

We review boundary rigidity theorems assessing that, under appropriate conditions, Riemannian manifolds with the same spectrum of boundary geodesics are isometric. We show how to apply these theorems to the problem of reconstructing a $d+1$…

高能物理 - 理论 · 物理学 2009-11-10 M. Porrati , R. Rabadan

AdS dynamics for massive scalar field is studied both by solving exactly the equation of motion and by constructing bulk-boundary propagator. A Robertson-Walker-like metric is deduced from the familiar SO(2,n) invariant metric. The metric…

高能物理 - 理论 · 物理学 2009-11-07 Z. Chang , C. B. Guan , H. Y. Guo

We compute the two-point correlation functions for the spin-3 theory in three dimensional (Anti-) de Sitter spacetimes by using holographic renormalisation. For the AdS case, we find results consistent with the general requirements of…

高能物理 - 理论 · 物理学 2013-01-14 Shailesh Lal , Bindusar Sahoo

We explain our proposal for an alternative bulk reconstruction of AdS/CFT correspondences from a scalar field by the flow method. By smearing and then normalizing a primary field in a $d$ dimensional CFT, we construct a bulk field, through…

高能物理 - 理论 · 物理学 2022-04-06 Sinya Aoki , Janos Balog , Tetsuya Onogi , Shuichi Yokoyama

We investigate the interplay between the moduli spaces of ample <2>-polarized IHS manifolds of type K3^[2] and of IHS manifolds of type K3^[2] with a nonsymplectic involution with invariant lattice of rank one. In particular we…

代数几何 · 数学 2020-01-08 Samuel Boissiere , Andrea Cattaneo , Dimitri Markushevich , Alessandra Sarti

We study the dS/CFT duality between minimal type-A higher-spin gravity and the free Sp(2N) vector model. We consider the bulk spacetime as "elliptic" de Sitter space dS_4/Z_2, in which antipodal points have been identified. We apply a…

高能物理 - 理论 · 物理学 2020-06-30 Yasha Neiman

We study the Kaluza-Klein spectrum of warped $AdS_3$ compactifications of type IIB with five-form flux which are dual to $\mathcal{N}=(0,2)$ SCFTs in two dimensions. We prove that the spectra of fluctuations of both the spin 2 sector of the…

高能物理 - 理论 · 物理学 2016-11-23 Johannes Schmude , Orestis Vasilakis

We explore the relation between stochastic quantization and holographic Wilsonian renormalization group flow further by studying conformally coupled scalar in $AdS_{d+1}$. We establish one to one mapping between the radial flow of its…

高能物理 - 理论 · 物理学 2015-06-15 Dileep P. Jatkar , Jae-Hyuk Oh

We present a 3+1 formulation of the effective field theory framework called the Standard-Model Extension in the gravitational sector. The explicit local Lorentz and diffeomorphism symmetry breaking assumption is adopted and we perform a…

广义相对论与量子宇宙学 · 物理学 2021-02-15 Kellie O'Neal-Ault , Quentin G. Bailey , Nils A. Nilsson

Bilocal holography provides a constructive approach to the vector model/higher spin gravity duality. It has two ingredients: a change of field variables and a change of space time coordinates. The change of field variables ensures that the…

高能物理 - 理论 · 物理学 2024-06-12 Robert de Mello Koch , Garreth Kemp , Hendrik J. R. Van Zyl

We investigate varies correlation functions of modular Hamiltonians defined with respect to spatial regions in quantum field theories. These correlation functions are divergent in general. We extract finite correlators by removing divergent…

高能物理 - 理论 · 物理学 2020-01-08 Jiang Long

Using recent results on string on $AdS_{3}\times N^d$, where N is a d-dimensional compact manifold, we re-examine the derivation of the non trivial extension of the (1+2) dimensional-Poincar\'e algebra obtained by Rausch de Traubenberg and…

高能物理 - 理论 · 物理学 2009-01-07 I. Benkaddour , A. El. Rhalami , E. H. Saidi

We study a simple version of the AdS/CFT (anti-de Sitter spacetime/Conformal Field Theory) correspondence, where operators have integer conformal dimensions. In this model, bulk causality follows from boundary analyticity, even in…

高能物理 - 理论 · 物理学 2009-07-30 David A. Lowe