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Recent works have suggested that the no-boundary proposal should be defined as a sum over regular, not necessarily compact, metrics. We show that such a prescription can be implemented in the presence of a scalar field. For concreteness, we…

High Energy Physics - Theory · Physics 2022-03-09 Caroline Jonas , Jean-Luc Lehners , Vincent Meyer

Multisymplectic geometry - which originates from the well known de Donder-Weyl theory - is a natural framework for the study of classical field theories. Recently, two algebraic structures have been put forward to encode a given theory…

Mathematical Physics · Physics 2009-11-07 Cornelius Paufler , Hartmann Romer

Recent investigations [arXiv:2111.02429][arXiv:2210.09647][arXiv:2304.05453] have introduced an infinite class of novel gravitational observables in Asymptotically anti-de Sitter (AdS) space that reside on codimension-one or -zero regions…

High Energy Physics - Theory · Physics 2024-03-27 Robert C. Myers , Shan-Ming Ruan

We consider the holography of the Abelian Maxwell-Chern-Simons (MCS) system in Lorentzian three-dimensional asymptotically-AdS spacetimes, and discuss a broad class of boundary conditions consistent with conservation of the symplectic…

High Energy Physics - Theory · Physics 2018-10-09 Tomás Andrade , Juan I. Jottar , Robert G. Leigh

We find out the complex geometries corresponding to the semi-classical saddles of threedimensional quantum gravity by making use of the known results of dual conformal field theory (CFT), which is effectively given by Liouville field…

High Energy Physics - Theory · Physics 2024-07-16 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

The Lorentzian AdS/CFT correspondence implies a map between local operators in supergravity and non-local operators in the CFT. By explicit computation we construct CFT operators which are dual to local bulk fields in the semiclassical…

High Energy Physics - Theory · Physics 2008-11-26 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

An asymptotically AdS geometry connecting two or more boundaries is given by a entangled state, that can be expanded in the product basis of the Hilbert spaces of each CFT living on the boundaries. We derive a prescription to compute this…

High Energy Physics - Theory · Physics 2023-08-16 Marcelo Botta Cantcheff

We discuss universal properties of conformal field theories with holographic duals. A central feature of these theories is the existence of a low-lying sector of operators whose correlators factorize. We demonstrate that factorization can…

High Energy Physics - Theory · Physics 2015-03-17 Sheer El-Showk , Kyriakos Papadodimas

We consider the holographic computation of two dimensional conformal field theory partition functions on non-orientable surfaces. We classify the three dimensional geometries that give bulk saddle point contributions to the partition…

High Energy Physics - Theory · Physics 2016-09-07 Alexander Maloney , Simon F. Ross

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…

High Energy Physics - Theory · Physics 2009-11-11 Donald Marolf , Simon Ross

Holographic quantum field theories that confine in flat space, are considered on a fixed AdS space. The space of holographic solutions for such theories is constructed and three types of regular solutions are found. Theories with two AdS…

High Energy Physics - Theory · Physics 2024-09-05 Ahmad Ghodsi , Elias Kiritsis , Francesco Nitti

We present a field-of-values (FOV) analysis for preconditioned nonsymmetric saddle-point linear systems, where zero is included in the field of values of the matrix. We rely on recent results of Crouzeix and Greenbaum [Spectral sets:…

Numerical Analysis · Mathematics 2026-02-13 Hao Chen , Chen Greif

In this work we elaborate on an extension of the AdS/CFT framework to a subclass of gravitational theories with vanishing cosmological constant. By building on earlier ideas, we construct a correspondence between Ricci-flat spacetimes…

High Energy Physics - Theory · Physics 2015-06-05 R. N. Caldeira Costa

The asymptotic structure of AdS spacetimes in the context of General Relativity coupled to the Maxwell field in three spacetime dimensions is analyzed. Although the fall-off of the fields is relaxed with respect to that of Brown and…

High Energy Physics - Theory · Physics 2016-03-23 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

Any $(d+1)$-dimensional CFT with a $U(1)$ flavor symmetry, a BPS bound and an exactly marginal coupling admits a decoupling limit in which one zooms in on the spectrum close to the bound. This limit is an In\"on\"u-Wigner contraction of…

High Energy Physics - Theory · Physics 2018-05-18 Jelle Hartong , Yang Lei , Niels A. Obers , Gerben Oling

We study several aspects of holographic entanglement in two models known as flat$_3$/BMSFT and (W)AdS$_3$/WCFT. These are two examples of holography beyond AdS/CFT where the the boundary field theories are not Lorentz invariant but still…

High Energy Physics - Theory · Physics 2020-09-10 Luis Apolo , Hongliang Jiang , Wei Song , Yuan Zhong

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 present the holographic predictions for cosmological 3-point correlators, involving both scalar and tensor modes, for a universe which started in a non-geometric holographic phase. Holographic formulae relate the cosmological 3-point…

High Energy Physics - Theory · Physics 2012-04-11 Adam Bzowski , Paul McFadden , Kostas Skenderis

We study the asymptotics of a family of link invariants on the orbits of a smooth volume-preserving ergodic vector field on a compact domain of the 3-space. These invariants, called linear saddle invariants, include many concordance…

Geometric Topology · Mathematics 2008-03-07 Sebastian Baader

The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. A holographic model based on a truncated AdS space can be used to obtain the hadronic…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , G. F. de Teramond