53 citations · 456 across the 27 of their papers we have counts for
28 papers
On the Morse index of nonorientable minimal surfaces in
Carlos Andrés Toro Cardona, Carlos Granada-Palacio, Ivan Miranda
We compute the Morse index of several complete nonorientable minimal surfaces immersed in Euclidean three-space. In particular, we prove that the Meeks minimal Möbius band has Mors…
Singly periodic minimal Wente torus with ends
Carlos Andrés Toro Cardona
We construct singly periodic minimal surfaces in parametrized by rhombic lattices and foliated by spherical curvature lines. As an application we find new examples o…
Minimal surfaces with closed curvature lines
Carlos Andrés Toro Cardona
We investigate complete non-orientable minimal surfaces of finite total curvature in such that their ends are foliated by closed lines of curvature. This condition o…
Non-existence of free boundary minimal Möbius bands in the unit three-ball
Carlos Andrés Toro Cardona
We prove the impossibility of constructing free boundary minimal Möbius bands in the Euclidean ball . This answers in the negative a question proposed by I. Fernández…
Four-point correlation modular bootstrap for OPE densities
Carlos Cardona, Cynthia Keeler, William Munizzi
In this work we apply the lightcone bootstrap to a four-point function of scalars in two-dimensional conformal field theory. We include the entire Virasoro symmetry and consider no…
Instability of a uniform electric field in pure non-Abelian Yang-Mills theory
Carlos Cardona, Tanmay Vachaspati
We study the Schwinger process in a uniform non-Abelian electric field using a dynamical approach in which we evolve an initial quantum state for gluonic excitations. We evaluate t…
The neutrino gravitational memory from a core collapse supernova: phenomenology and physics potential
Mainak Mukhopadhyay, Carlos Cardona, Cecilia Lunardini
General Relativity predicts that the passage of matter or radiation from an asymmetrically-emitting source should cause a permanent change in the local space-time metric. This phen…
Virasoro blocks at large exchange dimension
Carlos Cardona
In this paper, we analyze Virasoro conformal blocks in the limit when the operator exchange dimension is taking to be large in comparison with the other parameters dependence of th…
Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix
Carlos Cardona
The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS. From it we can extract flat…
Resummation at finite conformal spin
Carlos Cardona, Sunny Guha, Surya Kiran Kanumilli +1
We generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in \cite{arXiv:1806.10919, arXiv:1808.00612} to…
Anomalous dimensions at finite conformal spin from OPE inversion
Carlos Cardona, Kallol Sen
We compute anomalous dimensions of higher spin operators in Conformal Field Theory at arbitrary space-time dimension by using the OPE inversion formula of \cite{Caron-Huot:2017vep}…
OPE inversion in Mellin space
Carlos Cardona
The fundamental ingredients that build the observables in conformal field theory are the spectrum of operators and the OPE coefficients, or equivalently, the two- and three-point f…
Mellin-(Schwinger) representation of One-loop Witten diagrams in AdS
Carlos Cardona
In this paper we consider Witten diagrams at one loop in AdS space for scalar theory. After using Schwinger parametrization to trivialize the space-time loop integration,…
S-matrix singularities and CFT correlation functions
Carlos Cardona, Yu-tin Huang
In this note, we explore the correspondence between four-dimensional flat space S-matrix and two-dimensional CFT proposed by Pasterski et al. We demonstrate that the factorization…
On the linearity of Regge trajectory at large transfer energy
Carlos Cardona, Yu-tin Huang, Tsung-Hsuan Tsai
In this note we consider the four-point function of identical scalar operators in its Mellin representation. For CFTs, taking the large scaling dimension limit of the Mellin amplit…
CHY-Graphs on a Torus
Carlos Cardona, Humberto Gomez
Recently, we proposed a new approach using a punctured Elliptic curve in the CHY framework in order to compute one-loop scattering amplitudes. In this note, we further develop this…
Cross-ratio Identities and Higher-order Poles of CHY-integrand
Carlos Cardona, Bo Feng, Humberto Gomez +1
The evaluation of generic Cachazo-He-Yuan(CHY)-integrands is a big challenge and efficient computational methods are in demand for practical evaluation. In this paper, we propose a…
Elliptic scattering equations
Carlos Cardona, Humberto Gomez
Recently the CHY approach has been extended to one loop level using elliptic functions and modular forms over a Jacobian variety. Due to the difficulty in manipulating these kind o…
Elimination and recursions in the scattering equations
Carlos Cardona, Chrysostomos Kalousios
We use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations. The answer can be given either in terms of a…
Comments on the evaluation of massless scattering
Carlos Cardona, Chrysostomos Kalousios
The goal of this work is threefold. First, we give an expression of the most general five point integral on M_{0,n} in terms of Chebyshev polynomials. Second, we choose a special k…
Asymptotic Symmetries of Yang-Mills with Theta Term and Monopoles
Carlos Cardona
In this short note we suggest that the singular behavior of large gauge transformations preserving the vacuum at null infinity in Yang-Mills theory implies monopoles into the bulk,…
Abelian reductions of deformed SYM
Carlos Cardona, Cristhiam Lopez-Arcos, Horatiu Nastase
Following the work in \cite{Mohammed:2012gi}, where the massive ABJM model in 2+1 dimensions was shown to have an abelian reduction to the relativistic Landau-Ginzburg, and motivat…
Strings from large charged fields
Carlos Cardona
It has been known long time ago that the low energy dynamics of open-strings is described by non-abelian gauge theories in the same way that the low energy effective description of…
Pulsating strings from two dimensional CFT on
Carlos Cardona
We propose a state from the two-dimensional conformal field theory on the orbifold as a dual description for a pulsating string moving in . We show that, up t…