Browsing by Author "Moreno Vilches, Cristobal"

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    On D5-brane description of 1:4-BPS latitude Wilson loops in the AdS/CFT correspondence
    (2023) Moreno Vilches, Cristobal; Faraggi Ugalde, Alberto Tomás; Bañados, Máximo; Pontificia Universidad Católica de Chile. Instituto de Física
    Motivated by the AdS/CFT correspondence, the gravitational description of the 1/4-BPS latitude Wilson loop in the totally anti-symmetric representation of the gauge group is presented, under the dictionary this correspond to a D5-brane whose dynamics is governed by the DBI action and Weiss-Zumino. The approach we used was to work with the BPS equations coming from demanding the κ-symmetric projection condition on the target space killing spinor. Such equations are of first order in derivatives so in practice easily to solve instead of solving the Euler-lagrange equations coming from varying the action of the brane. In order to preserve all the symmetries that the Wilson loop has, the anzats used produces 16 BPS equations. Such equations were solved and we present the solution and study its properties.
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    On the D5-brane description of 1/4-BPS Wilson loops in 𝒩=4 super Yang-Mills theory
    (Springer, 2024) Faraggi Ugalde, Alberto Tomás; Moreno Vilches, Cristobal
    We construct the probe D5-brane solution in AdS(5) x S-5 dual to the 1/4-BPS latitude Wilson loop in N = 4 super Yang-Mills theory in the k-antisymmetric representation of SU(N). The solution is exact in the latitude parameter theta(0) and correctly reproduces the 1/2-BPS limit. We compute the string charge k and the renormalized on-shell action perturbatively to order O(theta(10)(0)) and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit N similar to k -> infinity, lambda -> infinity.
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    On the D5-brane description of 1/4-BPS Wilson loops in 𝒩=4 super Yang-Mills theory
    (2024) Faraggi Ugalde, Alberto Tomás; Moreno Vilches, Cristobal
    We construct the probe D5-brane solution in 𝐴𝑑𝑆5 ×𝑆5 dual to the 1/4-BPS latitude Wilson loop in 𝒩=4 super Yang-Mills theory in the 𝑘-antisymmetric representation of 𝑆⁢𝑈(𝑁). The solution is exact in the latitude parameter 𝜃0 and correctly reproduces the 1/2-BPS limit. We compute the string charge 𝑘 and the renormalized on-shell action perturbatively to order 𝒪(𝜃010) and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit 𝑁∼𝑘→∞, 𝜆→∞.