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Four-dimensional (4D) flat Minkowski space admits a foliation by hyperbolic slices. Euclidean AdS3 slices fill the past and future lightcones of the origin, while dS3 slices fill the region outside the lightcone. The resulting link between…

High Energy Physics - Theory · Physics 2019-10-02 Adam Ball , Elizabeth Himwich , Sruthi A. Narayanan , Sabrina Pasterski , Andrew Strominger

We discuss the holographic implications of torsional degrees of freedom in the context of AdS4/CFT3, emphasizing in particular their physical interpretation as carriers of the non-trivial gravitational magnetic field, i.e. the part of the…

High Energy Physics - Theory · Physics 2010-12-01 Anastasios C. Petkou

We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

We define a holographic dual to the Donaldson-Witten topological twist of $\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to $\mathcal{N}=4$ gauged…

High Energy Physics - Theory · Physics 2019-07-30 Pietro Benetti Genolini , Paul Richmond , James Sparks

Holographic duality is argued to relate classes of models that have equivalent unfolded formulation, hence exhibiting different space-time visualizations for the same theory. This general phenomenon is illustrated by the $AdS_4$ higher-spin…

High Energy Physics - Theory · Physics 2015-06-04 Mikhail A. Vasiliev

By analyzing the non-perturbative RG flows that explicitly preserve given symmetries, we demonstrate that they can be expressed as quantum path integrals of the $\textit{SymTFT}$ in one higher dimension. When the symmetries involved include…

High Energy Physics - Theory · Physics 2025-03-18 Ning Bao , Ling-Yan Hung , Yikun Jiang , Zhihan Liu

I argue that the conventional field theoretic notion of vacuum state is not valid in quantum gravity. The arguments use gravitational effective field theory, as well as results from string theory, particularly the AdS/CFT correspondence.…

High Energy Physics - Theory · Physics 2010-09-24 Tom Banks

In the AdS$_3$/CFT$_2$ correspondence, we find some conformal field theory (CFT) states that have no bulk description by the Ba\~nados geometry. We elaborate the constraints for a CFT state to be geometric, i.e., having a dual Ba\~nados…

High Energy Physics - Theory · Physics 2019-05-29 Wu-zhong Guo , Feng-Li Lin , Jiaju Zhang

'Holographic' relations between theories have become an important theme in quantum gravity research. These relations entail that a theory without gravity is equivalent to a gravitational theory with an extra spatial dimension. The idea of…

High Energy Physics - Theory · Physics 2015-09-11 Dennis Dieks , Jeroen van Dongen , Sebastian de Haro

The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length.…

High Energy Physics - Theory · Physics 2009-11-13 Idse Heemskerk , Joao Penedones , Joseph Polchinski , James Sully

We aim at formulating a higher-spin gravity theory around AdS$_2$ relevant for holography. As a first step, we investigate its kinematics by identifying the low-dimensional cousins of the standard higher-dimensional structures in…

High Energy Physics - Theory · Physics 2020-06-08 Konstantin Alkalaev , Xavier Bekaert

Most quantum states have wavefunctions that are widely spread over the accessible Hilbert space and hence do not have a good description in terms of a single classical geometry. In order to understand when geometric descriptions are…

High Energy Physics - Theory · Physics 2009-04-17 Vijay Balasubramanian , Bartlomiej Czech , Donald Marolf , Klaus Larjo , Joan Simon

In this paper, we study a new class of AdS/BCFT setups, where the world-volumes of end-of-the-world branes (EOW branes) are given by flat spaces, to explore flat space holography from an AdS bulk. We show that they provide gravity duals of…

High Energy Physics - Theory · Physics 2025-09-23 Peng-Xiang Hao , Naoki Ogawa , Tadashi Takayanagi , Takahiro Waki

The exclusion principle of Maldacena and Strominger is seen to follow from deformed Heisenberg algebras associated with the chiral rings of S_N orbifold CFTs. These deformed algebras are related to quantum groups at roots of unity, and are…

High Energy Physics - Theory · Physics 2009-10-31 Antal Jevicki , Sanjaye Ramgoolam

Using target space null reduction of the Polyakov action we find a novel covariant action for strings moving in a torsional Newton-Cartan geometry. Sending the string tension to zero while rescaling the Newton-Cartan clock 1-form, so as to…

High Energy Physics - Theory · Physics 2017-11-01 Troels Harmark , Jelle Hartong , Niels A. Obers

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

High Energy Physics - Theory · Physics 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

We propose a model of the Kondo effect based on the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, also known as holography. The Kondo effect is the screening of a magnetic impurity coupled anti-ferromagnetically to a bath…

High Energy Physics - Theory · Physics 2015-06-17 Johanna Erdmenger , Carlos Hoyos , Andy O'Bannon , Jackson Wu

We investigate the holographic renormalization of scalar-torsion gravity in a four-dimensional bulk spacetime with non-minimal derivative coupling. The asymptotic behavior of the static equations leads to an anti-de Sitter geometry for…

High Energy Physics - Theory · Physics 2025-05-29 Mulyanto , Hadyan Luthfan Prihadi , Emir Syahreza Fadhilla , Ardian Nata Atmaja

We propose a holographic entanglement entropy prescription for general states and regions in two models of holography beyond AdS/CFT known as flat$_3$/BMSFT and (W)AdS$_3$/WCFT. Flat$_3$/BMSFT is a candidate of holography for asymptotically…

High Energy Physics - Theory · Physics 2020-12-15 Luis Apolo , Hongliang Jiang , Wei Song , Yuan Zhong

A complementary approach, derived from (a) higher dimensional anti--de Sitter (AdS) space, (b) light-front quantization and (c) the invariance properties of the full conformal group in one dimension leads to a nonperturbative relativistic…

High Energy Physics - Theory · Physics 2015-06-15 Stanley J. Brodsky , Guy F. de Teramond , Hans Gunter Dosch