<p>We study three Type II supergravity solutions holographically dual to codimension-2 supersymmetric defects in (<i>p</i> + 1)-dimensional SU(<i>N</i>) maximally supersymmetric Yang-Mills theory (<i>p</i> = 2, 3, 4). In all of these cases, the defects have a non-trivial monodromy for the maximal abelian subgroup of the SO(9 – <i>p</i>) R-symmetry. Such solutions are obtained by considering branes wrapping spindle configurations, changing the parameters (which alters the coordinate domain), and imposing suitable boundary conditions. We provide a prescription to compute the entanglement entropy of the effective theory on the defect. We find the resulting quantity to be proportional to the free energy of the ambient theory. A similar analysis is performed for the D5-brane wrapping a spindle, but we find that changing the coordinate domain does not lead to a defect solution, but rather to a circle compactification.</p>

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Monodromy defects in maximally supersymmetric Yang-Mills theories from holography

  • Andrea Conti,
  • Ricardo Stuardo

摘要

We study three Type II supergravity solutions holographically dual to codimension-2 supersymmetric defects in (p + 1)-dimensional SU(N) maximally supersymmetric Yang-Mills theory (p = 2, 3, 4). In all of these cases, the defects have a non-trivial monodromy for the maximal abelian subgroup of the SO(9 – p) R-symmetry. Such solutions are obtained by considering branes wrapping spindle configurations, changing the parameters (which alters the coordinate domain), and imposing suitable boundary conditions. We provide a prescription to compute the entanglement entropy of the effective theory on the defect. We find the resulting quantity to be proportional to the free energy of the ambient theory. A similar analysis is performed for the D5-brane wrapping a spindle, but we find that changing the coordinate domain does not lead to a defect solution, but rather to a circle compactification.