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The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's approach corresponding to flat space.Some explicit examples are…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

We use the duality between the local Cartezian coordinates and the solutions of the Klein-Gordon equation to parametrize locally the spacetime in terms of wave functions and prepotentials. The components of metric, metric connection,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. V. Vancea

We derive new functional renormalisation group flows for quantum gravity, in any dimension. The key new achievement is that the equations apply for any theory of gravity whose underlying Lagrangian $\sim f(R_{\mu\nu\rho\sigma})$ is a…

High Energy Physics - Theory · Physics 2022-12-07 Yannick Kluth , Daniel F. Litim

We obtain the exact solution of the bond-percolation thresholds with inhomogenous probabilities on the square lattice. Our method is based on the duality analysis with real-space renormalization, which is a profound technique invented in…

Disordered Systems and Neural Networks · Physics 2015-06-12 Masayuki Ohzeki

The celebrated holographic duality posits a correspondence between a quantum gravity in a bulk spacetime and a quantum field theory (QFT) defined on its lower-dimensional boundary. This duality not only offers deep insights into the…

In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's…

High Energy Physics - Theory · Physics 2024-01-31 Dušan Đorđević , Dragoljub Gočanin

It has recently been conjectured that the AdS_5/SYM_4 correspondence can be generalized away from the conformal limit, to a duality between supergravity on the full asymptotically flat three-brane background and a theory characterized as…

High Energy Physics - Theory · Physics 2010-02-03 Ulf H. Danielsson , Alberto Guijosa , Martin Kruczenski , Bo Sundborg

The double copy formalism provides an intriguing connection between gauge theories and gravity. It was first demonstrated in the perturbative context of scattering amplitudes but recently the formalism has been applied to exact classical…

High Energy Physics - Theory · Physics 2020-04-22 Rashid Alawadhi , David S. Berman , Bill Spence , David Peinador Veiga

I show how recent progress in real space renormalization group methods can be used to define a generalized notion of holography inspired by holographic dualities in quantum gravity. The generalization is based upon organizing information in…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle

Gauge/gravity duality has proved to be a very successful tool for describing strongly coupled systems in particle physics and heavy ion physics. The application of the gauge/gravity duality to quantum matter is a promising candidate to…

High Energy Physics - Theory · Physics 2012-10-09 Johanna Erdmenger , Patrick Kerner , Steffen Muller

We describe various aspects of two-dimensional $N=2$ supergravity in superspace. We present the solution to the constraints in terms of unconstrained prepotentials, and the different superspace measures (full and chiral) used in the…

High Energy Physics - Theory · Physics 2007-05-23 M. T. Grisaru , M. E. Wehlau

We propose supergravity duals to non-trivial fixed points of the renormalization group in three dimensions with ADE global symmetries. All the fixed point symmetries are identified with space-time symmetries.

High Energy Physics - Theory · Physics 2009-10-31 Jaume Gomis

We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed Hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant…

High Energy Physics - Theory · Physics 2008-11-26 Ioannis Papadimitriou , Kostas Skenderis

We suggest an alternative approach to deconfine N =1 SU(N) supersymmetric gauge theory with a symmetric tensor, fundamentals, anti-fundamentals, and no superpotential. It is found that although the dual prescription derived by this new…

High Energy Physics - Theory · Physics 2007-05-23 Wang-Chang Su

Actions for $D=2$, $N=2$ supergravity coupled to a scalar field are calculated, and it is shown that the most general power-counting renormalizable dilaton gravity action has an $N=2$ locally supersymmetric extension. The presence of chiral…

High Energy Physics - Theory · Physics 2009-10-22 William M. Nelson , Youngchul Park

The deconfined quantum critical point of a two-dimensional SU(N) antiferromagnet is governed by an Abelian Higgs model in $d=2+1$ spacetime dimensions featuring $N$ complex scalar fields. In this context, we derive for $2\leq d\leq 4$ an…

Strongly Correlated Electrons · Physics 2009-10-29 Flavio S. Nogueira

We consider spherical gravitational perturbations of AdS4 space-time satisfying general boundary conditions at spatial infinity. Using the holographic renormalization method, we compute the energy-momentum tensor and show that it can always…

High Energy Physics - Theory · Physics 2009-03-27 Ioannis Bakas

We study two-point correlation function in a medium composed of two kinds of matter, which is the dual of a three-dimensional generalized $p$-brane gas geometry. Following the holographic prescription, we calculate temporal and spatial…

High Energy Physics - Theory · Physics 2022-12-05 Chanyong Park , Se-Jin Kim , Jung Hun Lee

We discuss gauge mediation in the case where the hidden sector is strongly coupled but, via the gauge-gravity correspondence, admits a weakly-coupled description in terms of a warped higher-dimensional spacetime. In this framework, known as…

High Energy Physics - Theory · Physics 2012-02-17 Paul McGuirk

We study the conventional holographic recipes and its real-time extensions in the context of the correspondence between SYK quantum mechanics and JT gravity. We first observe that only closed contours are allowed to have a 2d space-time…

High Energy Physics - Theory · Physics 2023-03-08 Raúl Arias , Marcelo Botta-Cantcheff , Pedro J. Martinez