On D5-brane description of 1:4-BPS latitude Wilson loops in the AdS/CFT correspondence
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Date
2023
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Abstract
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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Tesis (Master in Physics)--Pontificia Universidad Católica de Chile, 2023