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Статті в журналах з теми "Théorie conforme des champs (CFT)"
Hautecoeur, Jean-Paul. "Variations et invariance de l'Acadie dans le néo-nationalisme acadien." Articles 12, no. 3 (April 12, 2005): 259–70. http://dx.doi.org/10.7202/055537ar.
Повний текст джерелаSilva, Maurício Xavier, and Ricardo Jorge de Lucena Lucas. "Objetivo ou subjetivo?" Sur le journalisme, About journalism, Sobre jornalismo 12, no. 2 (December 22, 2023): 88–103. http://dx.doi.org/10.25200/slj.v12.n2.2023.573.
Повний текст джерелаДисертації з теми "Théorie conforme des champs (CFT)"
Di, Ubaldo Gabriele. "Modern Techniques in Gravity and the Structure of Holographic Conformal Field Theories." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASP055.
Повний текст джерелаWe introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS3 quantum gravity. We present a 2d CFT trace formula, precisely analogous to the Gutzwiller trace formula for chaotic quantum systems, which originates from the SL(2, Z) spectral decomposition of the Virasoro primary density of states. An analogy to Berry's diagonal approximation allows us to extract spectral statistics of individual 2d CFTs by coarse-graining, and to identify signatures of chaos and random matrix universality. This leads to a necessary and sufficient condition for a 2d CFT to display a linear ramp in its coarse-grained spectral form factor. Turning to gravity, AdS3 torus wormholes are cleanly interpreted as diagonal projections of squared partition functions of microscopic 2d CFTs. The projection makes use of Hecke operators. The Cotler-Jensen wormhole of AdS3 pure gravity is shown to be extremal among wormhole amplitudes: it is the minimal completion of the random matrix theory correlator compatible with Virasoro symmetry and SL(2, Z)-invariance. We call this MaxRMT: the maximal realization of random matrix universality consistent with the necessary symmetries. Completeness of the SL(2,Z) spectral decomposition as a trace formula allows us to factorize the Cotler-Jensen wormhole, extracting the microscopic object ZRMT(τ) from the coarse-grained product. This captures details of the spectrum of BTZ black hole microstates. ZRMT(τ) may be interpreted as an AdS3 half-wormhole. We discuss its implications for the dual CFT and modular bootstrap at large central charge
Kontoudi, Konstantina. "Hydrodynamique et intrication dans la correspondance AdS/CFT." Phd thesis, Ecole Normale Supérieure de Paris - ENS Paris, 2013. http://tel.archives-ouvertes.fr/tel-00923581.
Повний текст джерелаEngoulatov, Alexandre. "La géométrie et la théorie conforme des champs." Paris 11, 2006. http://www.theses.fr/2006PA112343.
Повний текст джерелаThis thesis deals with a Riemannian geometric question which is motivated by the problem of compactifying the moduli space of Conformal Field Theories (CFT). M. Kontsevich associates to a degenerating sequence of CFT's a limiting object which contains a Riemannian manifold M with nonnegative Ricci curvature, and its graph field theory. This amounts to a family of operators on tensor powers of the Hilbert space L^2(M), indexed by metric graphs. For instance, the operator attached to the graph with two vertices and one edge of length t is the heat semigroup P_t. The main result in the thesis is an a priori estimate of the norm of the gradient of the logarithm of the heat kernel on a compact Riemannian manifold, for short times, depending on the lower bound on Ricci curvature and on diameter only. The proof, which uses stochastic calculus, extends to certain semigroups satisfying curvature-dimension inequalities, in the sense of D. Bakry and M. Emery. Using J. Cheeger and T. H. Colding's structure results on limit spaces of such Riemannian manifolds, it is shown that the a priori estimate extends to these singular limit spaces. A compactness theorem for graph field theories associated with compact Riemannian manifolds satisfying a uniform lower bound on Ricci curvature follows
Friedrich, Roland. "Sur la théorie conforme des champs et les processus SLE." Paris 11, 2004. http://www.theses.fr/2004PA112192.
Повний текст джерелаThis thesis explores the connections between a class of stochastic processes called "Stochastic Loewner Evolution" (SLE) and conformal field theory (CFT). We start first by recalling some important results which we utilise in the sequel, in particular the notion of conformal restriction and of the "restriction martingale", originally introduced by Lawler, Schramm and Werner. We also derive the radial Loewner equation, based on Hadamard's variational principle. This method is useful to generalise SLE to Riemann surfaces. Then we give an explicit construction of a link between SLE and the representation theory of the Virasoro algebra, in particular, we interpret the Ward identities in terms of the restriction property and the central charge in terms of the density of Brownian bubbles. Then we show that this interpretation permits to relate the K of the stochastic process with the central charge c of the conformal field theory. This is achieved by a highest-weight representation which is degenerate at level two, of the Virasoro algebra. We then proceed by giving a derivation of the same relations, but from the theoretical physics point of view. In particular, we explore the relation between SLE and the geometry of the underlying moduli spaces. In the final part of this work we outline a general construction which allows to construct random curves on arbitrary Riemann surfaces. The key to this is to consider the canonical operator [\frac{\kappa}{2} L^2_{-1} - 2L_{-2}] as the generator of a diffusion on an appropriate moduli space
Tauber, Clément. "Trois applications d'une approche géométrique à la théorie conforme des champs." Thesis, Lyon, École normale supérieure, 2015. http://www.theses.fr/2015ENSL1047/document.
Повний текст джерелаThe thesis, consisting of three parts, is focusing on different physical problems that are related to two dimensional Conformal Field Theory (CFT).The first part deals with nonequilibrium transport properties across a junction of quantum wires. Three models are studied. The first one describes the wires by a free compactified bosonic field, seen as the bosonization of the Luttinger liquid of electrons. The junction of the wires is modeled by a boundary condition that ensures nontrivial scattering of the charges between the wires. Combining canonical quantization and functional integral, we compute exactly the current correlation functions in equilibrium, but also in a nonequilibrium stationary state, as well as the full counting statistics of charge and energy between the wires set at different temperatures and potentials. The two other models of quantum wire junction are based on Wess-Zumino-Witten theory (WZW). In the first one, the junction is described by a “cyclic brane” and in the second, by a “coset brane”. The results in the first case are as complete as for the free field, but the charges are fully transmitted from one wire to the next one. In the second case, the scattering is nontrivial, but the model turns out to be difficult to solve.The second part of the thesis studies the global gauge anomalies in “coset” models of CFT, realized as gauged WZW theories. The (almost) complete classification of such anomalies, that lead to some inconsistent coset models, is presented. It is based on Dynkin classification of subalgebras of simple Lie algebras.Finally, the third part of the thesis describes the geometric construction of index from unitary operator families obtained from valence band projectors of a two-dimensional time-reversal invariant topological insulator. The index is related on one hand to the square root of the Wess-Zumino amplitude of such a family, and, on the other hand, it reproduces the Kane-Mele invariant of the insulator. The last identification requires a nontrivial argument that uses a new gauge anomaly of WZW models with boundary.The three parts of the thesis use similar geometrical tool of CFT, that permits to obtain several original results. The unity in the method, as well as the topic of anomalies, builds a bridge between the different components of the manuscript
Leurent, Sébastien. "Systèmes intégrables et dualité AdS/CFT." Paris 6, 2012. http://www.theses.fr/2012PA066238.
Повний текст джерелаThis thesis is devoted to the study of integrable quantum systems such as spin chains, bidimentional field theories and the AdS/CFT duality. This AdS/CFT duality is a conjecture, stated in the end of the last century, which relates (for instance) the non-perturbative regime of a superconformal gauge theory (called N=4 super Yang-Mills) and the perturbative regime of a string theory on a 10-dimensioonal space with the geometry AdS₅xS⁵. This thesis explores the similarities between integrable spin chains and quantum field theories, such as Super Yang Mills. We first study integrable spin chains and build explicitely a polynomial "Bäcklund flow" and polynomial "Q-operators", which allow to diagonalize the Hamiltonian. We then study integrable field theories et show how to obtain "Q-functions", analogous to the Q-operators built for spin chains. It turns out that several important informations are contained in the analytic properties of these Q-functions. That allows to obtain, in the framework of the thermodynamic Bethe Ansatz, a finite number of non-linear integral equations encoding the spectrum of the theory which we study. This system of equations is equivalent to an infinite system of equations, known as "Y-system", which had been quite recently conjectured in the case of the AdS/CFT duality
Remy, Guillaume. "Intégrabilité du chaos multiplicatif gaussien et théorie conforme des champs de Liouville." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLEE051/document.
Повний текст джерелаThroughout this PhD thesis we will study two probabilistic objects, Gaussian multiplicative chaos (GMC) measures and Liouville conformal field theory (LCFT). GMC measures were first introduced by Kahane in 1985 and have grown into an extremely important field of probability theory and mathematical physics. Very recently GMC has been used to give a probabilistic definition of the correlation functions of LCFT, a theory that first appeared in Polyakov’s 1981 seminal work, “Quantum geometry of bosonic strings”. Once the connection between GMC and LCFT is established, one can hope to translate the techniques of conformal field theory in a probabilistic framework to perform exact computations on the GMC measures. This is precisely what we develop for GMC on the unit circle. We write down the BPZ equations which lead to non-trivial relations on the GMC. Our final result is an exact probability density for the total mass of the GMC measure on the unit circle. This proves a conjecture of Fyodorov and Bouchaud stated in 2008. Furthermore, it turns out that the same techniques also work on a more difficult model, the GMC on the unit interval, and thus we also prove conjectures put forward independently by Ostrovsky and by Fyodorov, Le Doussal, and Rosso in 2009. The last part of this thesis deals with the construction of LCFT on a domain with the topology of an annulus. We follow the techniques introduced by David-Kupiainen- Rhodes-Vargas although novel ingredients are required as the annulus possesses two boundaries and a non-trivial moduli space. We also provide more direct proofs of known results
Giecold, Gregory. "Correspondance AdS/CFT et théories des champs à fort couplage." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112075.
Повний текст джерелаIn this thesis, we apply the gauge/string duality in its supergravity limit to infer some properties of field theories at strong coupling. Experiments at RHIC and at the LHC indeed suggest that the quark--gluon plasma behaves as one of the most perfect fluid ever achieved in any controlled experimental setup. Perturbative approaches fail at accounting for its properties, whereas lattice QCD methods face technical as well as conceptual difficulties in computing dynamical aspects of this new state of matter. As a result, the AdS/CFT correspondence currently is the best tool at our disposal for analytically modelling this phase of QCD. One of the contributions of this thesis amounts to deriving a stochastic Langevin equation for a heavy quark moving across a maximally supersymmetric Yang--Mills plasma at strong coupling. Even though this theory seems to describe in a surprisingly satisfactory way the high--energy, deconfined phase of QCD, it is also of much interest to try and search for a string theory dual making closer contact with QCD at lower energies. As such, the other main focus of this thesis deals with supergravity solutions of lesser supersymmetry, without conformal invariance and exhibiting confinement. We build for the first time the gravity dual to metastable states of such theories. In particular, we find the contribution from anti--branes to the inflation potential in some general scenario of string cosmology
Bélanger, Mathieu. "Études des fonctions de corrélation en théorie conforme des champs : transformation intégrale du développement en produit d'opérateurs." Master's thesis, Université Laval, 2020. http://hdl.handle.net/20.500.11794/38112.
Повний текст джерелаCorrelation functions in conformal eld theory can be expressed with the help of the operator product expansion. The latter contains all the necessary information to characterize those theories. This expansion has given rise to the bootstrap equations. The bootstrap program has led to interesting numerical results but analytic equivalents have yet to be found. Some recent results introduced the inversion formula to the operator product expansion which allows one to nd the conformal data for the correlation function. Those relations need the complete form of the correlation function which are not usually known. This renders those inversion formulas hard to use for the bootstrap program. Here, we propose an integral transformation of the operator product expansion that uses the inversion formula. This gives us a way to relate the conformal data of the different crossing symmetry channels. In the case of four identical scalar elds, this relation can be used as a recurrence relation in two and four dimensions. This might validate known results and also nd some new systems.
Hogervorst, Matthijs. "Two studies on conformal and strongly coupled quantum field theories in d>2 dimensions." Thesis, Paris, Ecole normale supérieure, 2015. http://www.theses.fr/2015ENSU0013/document.
Повний текст джерелаThis thesis investigates two aspects of Conformal Field Theories (CFTs) in d dimensions. Its rst part is devoted to conformal blocks, special functions that arise in the partial wave expansion of CFT four-point functions. We prove that these conformal blocks admit an expansion in terms of polar coordinates and show that the expansion coecients are determined by recursion relations. Conformal blocks are naturally dened on the complex plane: we study their restriction to the real line, and show that they obey a fourth-order dierential equation there. This ODE can be used to eciently compute conformal blocks and their derivatives in general d. Several applications to the conformal bootstrap program are mentioned. The second half of this thesis investigates RG ows that are dened by perturbing a CFT by a number of relevant operators. We study such ows using the Truncated Conformal Space Approach (TCSA) of Yurov and Zamolodchikov, a numerical method that allows for controlled computations in strongly coupled QFTs. Two dierent RG ows are considered: the free scalar feld deformed by a mass term, and 4 theory. The former is used as a benchmark, in order to compare numerical TCSA results to exact predictions. TCSA results for 4 theory display spontaneous Z2 symmetry breaking at strong coupling: we study the spectrum of this theory both in the Z2-broken and preserved phase, and we compare the critical exponents governing the phase transition to known values. In a separate chapter, we show how truncation errors can be reduced by adding suitable counterterms to the bare TCSA action, following earlier work in d = 2 dimensions
Частини книг з теми "Théorie conforme des champs (CFT)"
"18 Invariance d’échelle et invariance conforme." In Théorie statistique des champs, 597–622. EDP Sciences, 2022. http://dx.doi.org/10.1051/978-2-7598-2218-8.c010.
Повний текст джерела"CHAPITRE IX INVARIANCE CONFORME." In Théorie statistique des champs (Vol. II), 89–228. EDP Sciences, 1989. http://dx.doi.org/10.1051/978-2-7598-0299-9.c004.
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