Examinando por Autor "Silva, Guillermo A."
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Ítem Functional determinants of radial operators in AdS 2(Springer Verlag, 2018-06) Aguilera-Damia, Jeremías; Faraggi, Alberto; Zayas, Leopoldo Pando; Rathee, Vimal; Silva, Guillermo A.We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal AdS2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic 14 -BPS latitude Wilson loop. © 2018, The Author(s).Ítem Interpolating boundary conditions on AdS 2(Springer Science and Business Media Deutschland GmbH, 2023-02) Canazas Garay, Anthonny F.; Correa, Diego H.; Faraggi, Alberto; Silva, Guillermo A.We consider two instances of boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; ℝ) conformal group is not immediate given their non-local nature. To further clarify this issue, we compute holographically 2- and 4-point correlation functions using the aforementioned boundary conditions and study their transformation properties. Concretely, motivated by the dual description of some multi-parametric families of Wilson loops in ABJM theory, we look at the excitations of an open string around an AdS2 ⊂ AdS4 × ℂℙ3 worldsheet, thus obtaining correlators of operators inserted along a 1-dimensional defect in N = 6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions analyzed, only one leads to the expected functional structure for conformal primaries; the other exhibits covariance under translations and rescalings but not under special conformal transformations. © 2023, The Author(s).Ítem One-loop holography with strings in AdS4 × ℂℙ3(Springer Verlag, 2019-10) David, Marina; Ardón, Rodrigo de León; Faraggi, Alberto; Pando Zayas, Leopoldo A.; Silva, Guillermo A.We compute the one-loop effective action of string configurations embedded in AdS4 × ℂℙ3 which are dual to 16-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the 12-BPS case. The one-loop determinants are computed by Fourier-decomposing the two dimensional operators and then using the Gel’fand-Yaglom method. We comment on various aspects related to the regularization procedure, showing the cancellation of a hierarchy of divergences. After taking into account an IR anomaly from a change in topology, we find a precise agreement with the field theory result known from supersymmetric localization. © 2019, The Author(s).