121 research outputs found
Conformal field theories from deformations of theories with symmetry
We construct a set of non-rational conformal field theories that consist of
deformations of Toda field theory for sl(n). Besides conformal invariance, the
theories still enjoy a remnant infinite-dimensional affine symmetry. The case
n=3 is used to illustrate this phenomenon, together with further deformations
that yield enhanced Kac-Moody symmetry algebras. For generic n we compute
N-point correlation functions on the Riemann sphere and show that these can be
expressed in terms of sl(n) Toda field theory correlation functions.Comment: 27 pages. Typos corrected. Discussion adde
Sard's approximation processes and oblique projections
Three problems arising in approximation theory are studied. These problems have already been studied by Arthur Sard. The main goal of this paper is to use geometrical compatibility theory to extend Sard's results and get characterizations of the sets of solutions.Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Giribet, Juan Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentin
Probing the near-horizon geometry of black rings
In many cases, the near-horizon geometry encodes sufficient information to
compute conserved charges of a gravitational solution, including thermodynamic
quantities. These charges are Noether charges associated to asymptotic
isometries that preserve appropriate boundary conditions at the future horizon.
For isolated, compact horizons these charges turn out to be integrable,
conserved and finite, and they have been studied in many examples of interest,
notably in 3+1 dimensions. In higher dimensions, where the variety of horizon
structures is more diverse, it is still possible to apply the same method,
although explicit examples have so far been limited to simple topologies. In
this paper, we demonstrate that such computations can also be applied to
higher-dimensional solutions with event horizons whose spacelike cross sections
exhibit non-trivial topology. We provide several explicit examples, with
particular focus on the 5-dimensional black ring.Comment: 16 page
Shorted operators and minus order
Let H be a Hilbert space, L(H) the algebra of bounded linear operators on H and W ∈ L(H) a positive operator. Given a closed subspace S of H, we characterize the shorted operator W/S of W to S as the maximum and as the infimum of certain sets, for the minus order − ≤. Also, given A ∈ L(H) with closed range, we study the following operator approximation problem considering the minus order: min− ≤ {(AX − I) ∗W(AX − I) : X ∈ L(H), subject to N(A ∗W) ⊆ N(X)}. We show that, under certain conditions, the shorted operator of W/R(A) is the minimum of this problem and we characterize the set of solutions.Fil: Contino, Maximiliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Giribet, Juan Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Maestripieri, Alejandra Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentin
Aerial multi-camera robotic jib crane
A formulation based on a team of unmanned aerial vehicles operating as a fully articulated multi-camera jib crane is proposed for the application of aerial cinematography. An optimization-based controller commands the formation to follow an artistic trajectory defined by the director of photography, while actively avoiding collisions and cameras' mutual visibility. The proposed scheme, based on the cluster-space formulation, presents an intuitive way of maneuvering the virtual camera fixture while automatically adjusting the motions by imposing artistic and safety constraints, facilitating the operator task.Fil: Moreno, Patricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Electronica; ArgentinaFil: Presenza, Juan Francisco. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Electronica; ArgentinaFil: Mas, Ignacio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Instituto Tecnológico de Buenos Aires; ArgentinaFil: Giribet, Juan Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Electronica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentin
Trajectory following with a MAV under Rotor Fault Conditions
Lately, a novel multirotor aerial vehicle capable of handling single rotor failures was presented. When a rotor fails, physically reconfiguring one of the remaining rotors of a hexarotor allows to compensate for maneuverability limitations. In this work, experimental results show the performance of the vehicle in a trajectory-following task in both nominal and fault conditions.Fil: Pose, Claudio Daniel. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Presenza, Juan Francisco. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Mas, Ignacio Agustin. Instituto Tecnológico de Buenos Aires. Departamento de Física - Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Giribet, Juan Ignacio. Universidad de Buenos Aires. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentin
On a class of non-Hermitian matrices with positive definite Schur complements
Given a positive definite matrix and a
Hermitian matrix , we characterize under which
conditions there exists a strictly contractive matrix such that the non-Hermitian block-matrix has a positive definite Schur complement
with respect to its submatrix~. Additionally, we show that~ can be chosen
such that diagonalizability of the block-matrix is guaranteed and we compute
its spectrum. Moreover, we show a connection to the recently developed frame
theory for Krein spaces.Comment: 15 pages, this is a corrected and enhanced version of the originally
submitted manuscrip
Abstract splines in Krein spaces
We present generalizations to Krein spaces of the abstract interpolation and smoothing problems proposed by Atteia in Hilbert spaces: given a Krein space K and Hilbert spaces H and E (bounded) surjective operators T:H→K and VH→E, ρ>0 and a fixed z0∈E, we study the existence of solutions of the problems argmin{[Tx,Tx]K: Vx=z0} and argmin{[Tx,Tx]K+ρ{norm of matrix}Vx-z0{norm of matrix}E2x∈H}.Facultad de Ciencias Exacta
Shorting selfadjoint operators in Hilbert spaces
Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. Also, an extension of Pekarev's formula is given.Facultad de Ciencias Exacta
- …