[PDF] Top 20 Conformal Invariance and Liouville Field Theory

... the Liouville path integral is still controlled by the ”singular” solutions, proving then that ...Chern-Simons theory in the context of its analytic continuation [54], in which the normalization does not ... See full document

... in- and out-of-equilibrium inhomogeneous ...models, and yet it allows to draw interesting lessons that will hold more ...effective field theory, in the form of varying parameters in the ... See full document

... minimal conformal field theory on closed random surfaces agree with the KPZ light-cone analysis on the sphere ...Hlousek and Kawai [12] also used this conformal gauge approach to ... See full document

... system and the initial state such that (i) the bulk is criti- cal, which is achieved when the Hamiltonian of the spin chain is gapless and (ii) the boundary condition flows (in the RG sense) towards a ... See full document

... energy theory of gravity on the brane is 4-dimensional general relativity and the cosmology may be Friedmann-Robertson-Walker ...scalar field is intro- duced in the bulk to stabilize the size of the ... See full document

... We have seen that this equation provides a reliable non-perturbative evidence for the existence of the fixed-point solutions corresponding to the minimal unitary series of conformal field theories ... See full document

... logarithmic conformal field theories in the bulk is considerably harder than on a finite geometry, due to the constraints of crossing ...] and four-point functions [ 40 ], are based on a ... See full document

... The formalism of Eq. (19) is however appropriate for locally equilibrated gauge fields, fluids where there is some “red”, “green” and “blue” charge density. We should be able to re-parametrize this density locally ... See full document

... superstring theory, this study began with a quite general introduction of the superconformal field theory as a super- symmetric extension of the conformal ...freedom and it is invariant ... See full document

... ^=^ and a conformal mass m = ^ ^ 1=2 m with 2 = ^ 1 as the conformal factor ...Dirac field in a Bohmian-Dirac-Weyl theory as in ...25] and note that m 2 / T where 8T ab = ... See full document

... 5-dimensional conformal matter ...of conformal fields with weight -4 is associated with exact 5-dimensional warped geometries which are stable under radion field pertur- bations and describe ... See full document

... ingredients and assuming unitarity, we applied the usual bootstrap semi-definite programming method (SDPB) to constrain the spectrum of neutral operators and some OPE coefficients λ (p) J J O ...fermion ... See full document

... scalars and a tensor operator associated with the Witten diagram using the same interaction vertex but now in ...indices and integrate over the interaction point X in ...J field has more ... See full document

... We investigate the Polchinski ERG equation for d-dimensional O(N ) scalar field theory. In the context of the non-perturbative derivative expansion we find families of regular solutions and establish ... See full document

... extended and not localized near the brane because the conformal weight of the stress-energy tensor is s = ...density and pressures depend on the coordinate of the fifth dimension and diverge ... See full document

... In the presence of Lorentz violation, specifically in the framework of the SME, previous analyses involving the properties of freely propagating particles have been performed under the tacit assumption that the latter ... See full document

... kernel and Einstein’s relations with colored ...quantum field theory, the solu- tion converges to the correct equilibrium state in the asymptotic limit of the fictitious time ␶ → ...Euclidean ... See full document

... knowledgeable and extremely committed individuals. First and foremost, I want to thank my supervisor, Professor Jo˜ ao Lopes dos Santos, as this text has been profoundly shaped, not only by his expertises ... See full document

... civilian and military un- manned aerial vehicle (UAV) ...situations and usually does not appear isolated but as a part of a mission objective, such as to visit several waypoints or covering an area, ... See full document

... (3.1) and (3.2) and since involved linear transformations and Minkowski additions preserve both compactness and convexity, the forward reach set map R (·, ·) also preserves both compactness ... See full document