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I present a method of performing geometric quantization using cohomology groups extended via coefficient groups of different types. This is possible according to the Universal Coefficient Theorem (UTC). I also show that by using this method…

General Physics · Physics 2015-06-19 Andrei T. Patrascu

Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion of such flow equations in…

High Energy Physics - Theory · Physics 2011-06-23 Dario Benedetti , Kai Groh , Pedro F. Machado , Frank Saueressig

We discuss the systematics of obtaining the Callan-Symanzik equation within the framework of the gauge/gravity dualities. We present a completely general formula which in particular takes into account the new holographic renormalization…

High Energy Physics - Theory · Physics 2015-05-28 Balt C. van Rees

A quantum-field theoretical interpretation is given to the holographic RG equation by relating it to a field-theoretical local RG equation which determines how Weyl invariance is broken in a quantized field theory. Using this approach we…

High Energy Physics - Theory · Physics 2009-11-07 Johanna Erdmenger

In this work we reason that there is a universal picture for several different holographic toy model constructions, and a gravity-like bulk field theory that gives rise it. First, we observe that the perfect tensor-networks and hyperbolic…

Strongly Correlated Electrons · Physics 2020-11-04 Han Yan

We reconsider a one-parameter class of known solutions of the circle compactification of Romans six-dimensional half-maximal supergravity. The gauge-theory duals of these solutions are confining four-dimensional field theories. Their UV…

High Energy Physics - Theory · Physics 2019-03-27 Daniel Elander , Maurizio Piai , John Roughley

We put forward a two-dimensional nonlinear sigma model that couples (bosonic) matter fields to topological Horava gravity on a nonrelativistic worldsheet. In the target space, this sigma model describes classical strings propagating in a…

High Energy Physics - Theory · Physics 2022-10-12 Ziqi Yan

We develop a general framework for constructing charges associated with diffeomorphisms in gravitational theories using covariant phase space techniques. This framework encompasses both localized charges associated with spacetime…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Venkatesa Chandrasekaran , Eanna E. Flanagan , Ibrahim Shehzad , Antony J. Speranza

Recently, there has been much interest in holographic computations of two-point non-equilibrium Green functions from AdS-Vaidya backgrounds. In the strongly coupled quantum field theory on the boundary, the dual interpretation of the…

High Energy Physics - Theory · Physics 2016-02-19 Jarkko Järvelä , Ville Keränen , Esko Keski-Vakkuri

Using the background field method, we study in a general covariant gauge the renormalization of the 6-dimensional Yang-Mills theory. This requires background gauge invariant counterterms, some of which do not vanish on shell. Such…

High Energy Physics - Theory · Physics 2019-01-09 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We generalize the $T\overline{T}$ deformation of CFT$_2$ to higher-dimensional large-$N$ CFTs, and show that in holographic theories, the resulting effective field theory matches semiclassical gravity in AdS with a finite radial cutoff. We…

High Energy Physics - Theory · Physics 2019-05-29 Thomas Hartman , Jorrit Kruthoff , Edgar Shaghoulian , Amirhossein Tajdini

Sine-Gordon field theory is used to investigate the phase diagram of a neutral Coulomb gas. A variational mean field free energy is constructed and the corresponding phase diagrams in two (2d) and three dimensions (3d) are obtained. When…

Condensed Matter · Physics 2016-08-31 Alexandre Diehl , Marcia C. Barbosa , Yan Levin

This thesis considers massive field theories in 1+1 dimensions known as affine Toda quantum field theories. We first consider the boundary sine-Gordon model, deriving a complete picture of the boundary bound state structure for general…

High Energy Physics - Theory · Physics 2007-05-23 Peter Mattsson

We suggest that the principle of holographic duality can be extended beyond conformal invariance and AdS isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on…

High Energy Physics - Theory · Physics 2015-06-23 A. O. Barvinsky

We discuss aspects of holography in the AdS_3 \times S^p near string geometry of a collection of straight fundamental heterotic strings. We use anomalies and symmetries to determine general features of the dual CFT. The symmetries suggest…

High Energy Physics - Theory · Physics 2009-04-03 Per Kraus , Finn Larsen , Akhil Shah

We explore a novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity, proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal…

High Energy Physics - Theory · Physics 2024-12-10 Andrea Antinucci , Francesco Benini , Giovanni Rizi

An example of the holographic correspondence between 2d, N=2 quantum field theories and classical 4d, N=2 supergravity theories is found. The constraints on the target space geometry of the 4d, N=2 non-linear sigma-models in N=2…

High Energy Physics - Theory · Physics 2007-05-23 Sergei V. Ketov

Classical sine-Gordon theory on a strip with integrable boundary conditions is considered analyzing the static (ground state) solutions, their existence, energy and stability under small perturbations. The classical analogue of Bethe-Yang…

High Energy Physics - Theory · Physics 2009-11-10 Z. Bajnok , L. Palla , G. Takacs

The holographic principle is represented as the well-known de Alfaro, Fubini and Furlan correspondence between the generating functional for the Green functions of the Euclidean quantum field theory in $D$ dimensions and the Gibbs average…

High Energy Physics - Theory · Physics 2009-10-31 B. P. Kosyakov

We investigate the holographic correspondence between (p+1)-dimensional ($0\le p\le 4$) SYM theories with 16 supercharges and superstring theories on the near-horizon limit of Dp-brane backgrounds. Following an approach based on the…

High Energy Physics - Theory · Physics 2009-11-10 Masako Asano , Yasuhiro Sekino