We extend our analysis of holographic meson dissociation in the presence of an intense magnetic field. Kostas skenderis in the spring of 2009 at the university of amsterdam. In previous work we have applied holographic renormalization to the computation of 2point functions of the stress tensor and the operator dual to the scalar field in the domain wall background for two specific rgflows, the gppz flow describing n 4 sym theory perturbed by an n 1 supersymmetric mass term, and a coulomb branch flow. We find new classes of divergences which appear to be nonlocal on the gravity side. In this sense, the adscft correspondence, and so the structure of the holographic rg, must exist even when a gravity theory is subject to stringy corrections. We further discuss continuum limits, and argue that the holographic renormalization group may describe the renormalized trajectory in the parameter space. We will show this by proving that the generating function of physical quantities, the onshell action, is invariant even in the case with h r x r. Surface charges, holographic renormalization, and lifshitz spacetime kristian holsheimer m. The method is illustrated by working all details in a simple example. Spinoza institute, utrecht university leuvenlaan 4, 3584 ce utrecht, the netherlands institute. Holographic renormalization of probe dbranes in adscft. The method of holographic renormalization is then introduced by first computing the renormalized twopoint function of a scalar operator in conformal field theory and comparing with the.
Holographic renormalization of general dilatonaxion. We will show this by proving that the generating function of physical quantities, the on. Holographic renormalization for fermions in real time. A note on holographic renormalization of probe dbranes. Various aspects of holographic renormalization inspire. Spinoza institute, utrecht university leuvenlaan 4, 3584 ce utrecht, the netherlands institute for theoretical physics, utrecht university. The uv of our theory has infinite degrees of freedom. For dual boundary field theories which are supersymmetric it is natural to ask whether this defines a supersymmetric renormalization scheme. Lecture notes on holographic renormalization kostas skenderis recent citations scattering length from holographic duality carlos hoyos et alholography for the very early universe and the classic puzzles of hot big bang cosmology horatiu nastase and kostas skenderis holographic cosmology from dimensional reduction of n 4 sym vs. Gaugegravity duality holographic cosmology conclusions protocol 1 choose a modelwith desired ir behaviour. These two different thermodynamic ensembles are classified by the asymptotic boundary.
The discussion includes the derivation of the onshell renormalized action, of holographic ward identities, anomalies and rg equations, and the computation. Holographic renormalization 4, 5, 6, 7, 8, 9, 10, 11, 12, is the analogous procedure for the gravity side of the duality. On the holographic renormalization group to cite this article. The holographic renormalization of a charged black brane with or without a dilaton field, whose dual field theory describes a dense medium at finite temperature, is investigated in this paper. Related content rgflow, gravity and the cosmological constant erik verlinde and herman verlindehow to go with an rg flow massimo bianchi, daniel z. While we showed before that there is a range of high. Renormalization group flow in algebraic holography arxiv vanity.
Holographic renormalization of general dilatonaxion gravity. Holographic renormalization group progress of theoretical. Solodukhin, ks, holographic reconstruction of spacetime and renormalization in adscft commun. Study unveils new supersymmetry anomalies in superconformal quantum field theories 1 july 2019, by ingrid fadelli a diagrammatic representation of the computation. This set of notes is based on the course introduction to string theory which was taught by prof. In this thesis we explore various aspects of holographic renormalization. Covariant holographic renormalization of nonconformal field. In particular, i have developed the method of holographic renormalization, which is the gravitational counterpart of renormalization in qft. Holographic renormalization group structure in higher. Citeseerx lecture notes on holographic renormalization. Renormalization group flow in algebraic holography arxiv. All divergences of the onshell bulk action can be cancelled by adding covariant local boundary counterterms determined by the nearboundary behavior of bulk fields. In this context, skenderis and collaborators have developed the method of holographic renormalization 363738 39 4041424344454647, a formalism that computes the energy and. An introduction to string theory kevin wray abstract.
Park, gravity dual of spatially modulated phase, phys. Holography and renormalization in the adscft correspondence kostas skenderis princeton university s. We consider a very general dilatonaxion system coupled to einsteinhilbert gravity in arbitrary dimension and we carry out holographic renormalization for any dimension up to and including five dimensions. Kostas skenderis a holographic construction of cft excited states. The method is essential for obtaining welldefined rules for computations in gravitygauge theory duality and moreover it explicitly shows how spacetime is reconstructed from gauge theory data. Holographic renormalization group and fermionic boundary data. Lecture notes on holographic renormalization mafiadoc. In addition to the previously known critical temperature above which the mesons melt, we found that for certain magnetic field intensities there exists a second lower critical temperature, below which stable mesons cease to exist. Special attention to the issue of uvir connection is paid. We also clarify the relationship of the present formalism to the analysis carried out by henningson and skenderis. Holographic construction of cft excited states kostas skenderis stag research st a g research. Generalized wentzell boundary conditions and holography. We present a covariant holographic renormalization chr procedure of fake supergravity sugra systems. We then outline the general method of holographic renormalization.
Lecture notes on holographic renormalization cern document. Kostas skenderis holographic cosmology meets lattice gauge theory. Holographic models of inflation university of miami. Holographic renormalization by massimo bianchi, daniel z. Holographic renormalization for coincident d p branes toby wiseman and benjamin withers holographic renormalization of gravity in little string theory duals donald marolf and amitabh virmaninotes on a sqcdlike plasma dual and holographic renormalization a. Lecture notes on holographic renormalization inspirehep. Gauge invariance and holographic renormalization sciencedirect. Holographic renormalization group rims, kyoto university. These backgrounds have the property that they are in 11. Aug 25, 2011 we consider a very general dilatonaxion system coupled to einsteinhilbert gravity in arbitrary dimension and we carry out holographic renormalization for any dimension up to and including five dimensions. Holographic construction of cft excited states kostas skenderis stag research st a g research center st g center research center aspects of conformal field theories thessaloniki, greece 24 september 2015 kostas skenderis holographic construction of cft excited states.
In theories with diffeomorphism invariance the poincare generators are gauged, and a spacetime point is not a gauge invariant concept. Holographic wilsonian renormalization group jiyoung kim may 10, 2017 abstract strongly coupled systems are di cult to study because the perturbation of the systems does not work with strong couplings. An approach to the holographic renormalization group in the context of rehren duality a structural form of the adscft correspondence, in the context of local quantum physics algebraic qft is proposed. A great deal of progress has been recently made in the study of holography for nonconformal branes. This is achieved by developing a new systematic algorithm for iteratively solving the radial hamiltonjacobi equation in a derivative expansion.
We provide a pedagogical introduction to the method of holographic renormalization, in its hamiltonian incarnation. By working perturbatively in the sources we avoid issues related to the nonrenormalizability of the dual field theory. Holographic renormalization and gauge invariance now we come back to the question whether physical quantities are independent of the choice of the gauge condition h r x r 0. Observational signatures of holographic models of in. We investigate the structure of holographic renormalization in the presence of sources for irrelevant operators. Kostas skenderis holographic construction of cft excited states. S026493810253803x lecture notes on holographic renormalization kostas skenderis physics department, princeton university, princeton, nj 08544, usa.
Lectures on holographic renormalization springerlink. Covariant holographic renormalization of nonconformal. Lecture notes on holographic renormalization by kostas skenderis hepth0209067, 43 pages holographic renormalization group by masafumi fukuma, so matsuura, tadakatsu sakai hepth0212314, 90 pages, 6 figures. We holographically renormalize the supergravity action to compute the stress tensor of the dual gauge theory with fundamental flavors incorporating the logarithmic running of the gauge coupling. Holographic relations at finite radius brown university. I am pleased to have a chance to thank martin ammon, whose enthusiasm made me interested in gaugegravity duality. Talaverarecent citations holographic subregion complexity. Sep 09, 2002 we then outline the general method of holographic renormalization.
We study the gravity dual of a thermal gauge theory whose behavior parallels that of thermal qcd in the far ir. Considering the nearhorizon limit of backgrounds generated by such branes, we discuss the holographic renormalization of probe dbranes in these geometries. My special gratitude goes to my parents for their love, care and patience. The issues holography states that a d idimensional should have a description in terms of a adimensional with. A holographic construction of cft excited states kostas skenderis stag research stag research center stag center research. The four cases we consider are the probe d7, two different. Surface charges, holographic renormalization, and lifshitz. Holographic renormalization for irrelevant operators and. Papadimitriou, holographic renormalization as a canonical transformation, jhep 11 10 i.
Pdf holographic renormalization made simple an example. Classical higherderivative gravity is investigated in the context of the holographic renormalization group rg. We have also drawn on some ideas from the books string theory and. The holographic rg is based on the idea that the radial coordinate of a spacetime with asymptotically ads geometry can be identified with the rg flow parameter of boundary field theory. The method of holographic renormalization is then introduced by. Holographic renormalization and supersymmetry inspire. We systematically develop the procedure of holographic renormalization for rg flows dual to asymptotically ads domain walls. Lecture notes on holographic renormalization inspire. A holographic perspective on phonons and pseudophonons pdf.
Papadimitriou, holographic renormalization of general dilatonaxion gravity, jhep 08 11 s. Thesis abstract two distinct holographic methods are introduced and applied in order to study. More specifically, we discuss in some detail systems with a codimensionone defect. This is the basic idea of the holographic renormalization group. Holography is a strongweak coupling duality between gravitational and gauge theories, and fake sugra is a theory of gravity coupled to scalars in which the scalar potential can be derived from a superpotential in some specific way. We start by discussing mathematical results on asymptotically antide sitter spacetimes. Skenderis, lecture notes on holographic renormalization, hepth0209067.
However in all cases a systematic renormalization procedure exists involving. Pdf melting holographic mesons by cooling a magnetized. Pdf we present an alternative method to obtain the exact solution of the bulk field. A note on the weyl anomaly in the holographic renormalization. Institute of physics publishing classical and quantum gravity class. Holographic renormalization is a systematic procedure for regulating divergences in observables in asymptotically locally ads spacetimes. The discussion includes the derivation of the onshell.
1137 1436 554 594 1199 1677 1267 1306 378 204 218 1663 1638 1636 623 485 1162 1515 523 354 567 693 217 79 274 971 1457 605