16 research outputs found
Holographic entanglement entropy of surface defects
We calculate the holographic entanglement entropy in type IIB supergravity
solutions that are dual to half-BPS disorder-type surface defects in Super Yang-Mills theory. The entanglement entropy is calculated for a
ball-shaped region bisected by a surface defect. Using the bubbling
supergravity solutions we also compute the expectation value of the defect
operator. Combining our result with the previously-calculated one-point
function of the stress tensor in the presence of the defect, we adapt the
calculation of Lewkowycz and Maldacena to obtain a second expression for the
entanglement entropy. Our two expressions agree up to an additional term, whose
possible origin and significance is discussedComment: 41 pages. pdflatex, 3 figures. v2: typos corrected, reference
corrected, some comments on CFT interpretation added. v3: references added,
some clarification
Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs
We study entanglement entropy and the free energy in recently constructed
holographic duals for 5d SCFTs in type IIB supergravity. The solutions exhibit
mild singularities, which could potentially complicate holographic
applications. We use the relation of the entanglement entropy for a spherical
entangling surface to the free energy of the field theory on the five sphere as
a well-motivated benchmark to assess how problematic the singularities are. The
holographic supergravity computations give well-defined results for both
quantities and they satisfy the expected relations. This supports the
interpretation of the solutions as holographic duals for 5d SCFTs and gives
first quantitative indications for the nature of the dual SCFTs.Comment: 25 pages, 3 figure
The law of activity delays
Delays in activities completion drive human projects to schedule and cost
overruns. It is believed activity delays are the consequence of multiple
idiosyncrasies without specific patterns or rules. Here we show that is not the
case. Using data for 180 construction project schedules, we demonstrate that
activity delays satisfy a universal model that we call the law of activity
delays. After we correct for delay risk factors, what remains follows a
log-normal distribution.Comment: 7 pages, 4 figures, 1 tabl
Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
We consider solutions of eleven-dimensional supergravity constructed in [1,2]
that are half-BPS, locally asymptotic to and are the
holographic dual of heavy Wilson surfaces in the six-dimensional
theory. Using these bubbling solutions we calculate the holographic
entanglement entropy for a spherical entangling surface in the presence of a
planar Wilson surface. In addition, we calculate the holographic stress tensor
and, by evaluating the on-shell supergravity action, the expectation value of
the Wilson surface operator.Comment: 42 pages, 4 figures, v2: minor modification
Holographic Entanglement Entropy in the Presence of Defects
A quantum observable which received renewed attention recently is entanglement entropy. It's application ranges over several fields in physics, from condensed matter physics to general relativity. In this dissertation we study entanglement entropy for quantum field theories in the presence of defects and singularities. We study entanglement entropy using the framework of AdS/CFT correspondence. We focus on entangling surfaces across ball-shaped regions for systems outside their ground state. Quantum field theories in the presence of defects are considered first. These are the six-dimensional theory in the presence of Wilson surfaces and the four-dimensional \cN = 4 super-Yang-Mills theory in the presence of surface defects of the disordered type. Their holographic entanglement entropy is calculated applying the Ryu-Takayanagi prescripstion on their holographic duals, which are eleven-dimensional supergravity (M-theory) solutions for the former and ten-dimensional type IIB supergravity solutions for the latter. Other holographic observables are computed as well: the holographic stress tensor and the expectation value of the defect (operator). For the disordered defects, an alternative expression for the additional entanglement entropy due to the defect (in terms of expectation values) is derived, adapting the method of Lewkowycz and Maldacena for Wilson loops. The two entanglement entropies agree up to an additional term, the origin of which may be attributed to the conformal anomaly of even dimensional defects as we discuss. The holographic entanglement and free energy is computed for five-dimensional super conformal field theories, starting from their holographic supergravity duals. Although the supergravity solutions possess singularities, these do not obstruct our calculations. The expected relation between the two observables is verified. This supports the supergravity solutions as holographic duals and gives the first quantitative results for five-dimensional superconformal field theories
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Holographic entanglement entropy of surface defects
We calculate the holographic entanglement entropy in type IIB supergravity
solutions that are dual to half-BPS disorder-type surface defects in Super Yang-Mills theory. The entanglement entropy is calculated for a
ball-shaped region bisected by a surface defect. Using the bubbling
supergravity solutions we also compute the expectation value of the defect
operator. Combining our result with the previously-calculated one-point
function of the stress tensor in the presence of the defect, we adapt the
calculation of Lewkowycz and Maldacena to obtain a second expression for the
entanglement entropy. Our two expressions agree up to an additional term, whose
possible origin and significance is discusse