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In this paper, we explore the relationship between holographic Wilsonian renormalization groups and stochastic quantization in conformally coupled scalar theory in AdS$_{4}$. The relationship between these two different frameworks is…

High Energy Physics - Theory · Physics 2023-11-15 Jun Hyeok Lee , Jae-Hyuk Oh

We compute the direct current resistivity of a scale-invariant, $d$-dimensional strange metal with dynamic critical exponent $z$ and hyperscaling-violating exponent $\theta$, weakly perturbed by a scalar operator coupled to random-field…

High Energy Physics - Theory · Physics 2014-04-02 Andrew Lucas , Subir Sachdev , Koenraad Schalm

The behavior of the divergent part of the bulk AdS/CFT effective action is considered with respect to the special finite diffeomorphism transformations acting on the boundary as a Weyl transformation of the boundary metric. The resulting…

High Energy Physics - Theory · Physics 2014-11-18 R. Manvelyan , R. Mkrtchyan , H. J. W. Mueller-Kirsten

We begin by reexamining the holographic reconstruction of scalar fields in four-dimensional anti-de Sitter spacetime, adopting a purely Lorentzian signature derivation, reproducing earlier results of HKLL and generalizing to arbitrary…

High Energy Physics - Theory · Physics 2024-11-05 David A. Lowe , Yiru Wang , Juanyi Yang

We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of…

High Energy Physics - Theory · Physics 2025-03-12 Zhehan Li , Zhifeng Li , Jia Tian

When conformal field theories (CFTs) are perturbed by marginally relevant deformations, renormalization group (RG) flows ensue that can be studied with perturbative methods, at least as long as they remain close to the original CFT. In this…

High Energy Physics - Theory · Physics 2016-08-16 Andreas Stergiou , David Stone , Lorenzo G. Vitale

We develop the holographic framework for the $\textrm{T}\overline{\textrm{T}}$ deformation of two-dimensional conformal field theories (CFT$_2$) with gravitational anomalies, characterized by unequal left and right central charges and…

High Energy Physics - Theory · Physics 2025-08-07 Debarshi Basu , Qiang Wen , Mingshuai Xu

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

We examine the correspondence between QFT observables and bulk solutions in the context of AdS/CFT in the limit as the cosmological constant $\Lambda \to 0$. We focus specifically on the spacetime metric and a non-backreacting scalar in the…

High Energy Physics - Theory · Physics 2014-11-26 R. N. Caldeira Costa

The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical construction of AdS/CFT, but toy models in the form of…

High Energy Physics - Theory · Physics 2022-04-21 Harriet Apel , Tamara Kohler , Toby Cubitt

The Zamolodchikov c-theorem has led to important new insights in our understanding of the renormalisation group and the geometry of the space of QFTs. Here, we review the parallel developments of the search for a higher-dimensional…

High Energy Physics - Theory · Physics 2017-04-11 Graham M. Shore

Holographic Renormalization Group (RG) flows, described by Einstein gravity coupled to matter fields, have been thoroughly explored in the context of vacuum states. In this work, we shift the focus to thermal states. Using the…

High Energy Physics - Theory · Physics 2025-10-14 Elena Cáceres , Hare Krishna

We discuss Holographic Renormalization Group equations in the presence of fermions and form fields in the bulk. The existence of a holographically dual quantum field theory for a given bulk gravity theory imposes consistency conditions on…

High Energy Physics - Theory · Physics 2015-06-25 Jussi Kalkkinen , Dario Martelli

We discuss relevant scalar deformations of a holographic theory with a compact boundary. An example of such a theory would be the global AdS$_4$ with its spatially compact boundary $S^2$. To introduce a relevant deformation, we choose to…

High Energy Physics - Theory · Physics 2021-12-16 Pallab Basu , Pranav Kumar , Chuene Mosomane

We present a novel derivation of the full holographic conformal anomaly in two five-dimensional scalar-tensor theories-one Lovelock-Horndeski type and one Einstein-dilaton-Gauss-Bonnet-obtained via a unified mechanism for Kaluza-Klein…

High Energy Physics - Theory · Physics 2025-06-17 Tianhao Wu , Michael Stone

Recent work showed holographic error correcting codes to have simple universal features at $O(1/G)$. In particular, states of fixed Ryu-Takayanagi (RT) area in such codes are associated with flat entanglement spectra indicating maximal…

High Energy Physics - Theory · Physics 2020-04-22 Xi Dong , Donald Marolf

Using Hamilton-Jacobi theory, we develop a formalism for solving semi-classical cosmological perturbations which does not require an explicit choice of time-hypersurface. The Hamilton-Jacobi equation for gravity interacting with matter…

Astrophysics · Physics 2010-11-01 D. S. Salopek , J. M. Stewart

We study the holographic description of ${\cal N}=2$ Super Conformal Field Theories in four dimensions first given by Gaiotto and Maldacena. We present new expressions that holographically calculate characteristic numbers of the CFT and…

High Energy Physics - Theory · Physics 2019-06-26 Carlos Nunez , Dibakar Roychowdhury , Stefano Speziali , Salomon Zacarias

We investigate Cauchy Slice Holography in de Sitter spacetime. By performing a $T^2$ deformation of a (bottom-up) dS/CFT model, we obtain a holographic theory living on flat Cauchy slices of de Sitter, for which time is an emergent…

High Energy Physics - Theory · Physics 2026-01-28 Goncalo Araujo-Regado , Ayngaran Thavanesan , Aron C. Wall

The Hamilton-Jacobi analysis is applied to the dynamics of the scalar fluctuations about the Friedmann-Robertson-Walker (FRW). The gauge conditions are found from the consistency conditions. The physical degrees of freedom of the model are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dumitru Baleanu
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