Unravel the Mysteries of Extended Conformal Defects in SCFTs - Take the Quiz!

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20 Questions

What is the subject of investigation in superconformal field theories?

Extended conformal defects

How are defects characterized?

By broken and preserved symmetries

In a d-dimensional SCFT, what subgroup does a p-dimensional conformal defect preserve?

SO(p, 2) × SO(d − p)

What is the first factor of the conformal symmetry in a conformal defect?

The conformal symmetry acting on the world volume of the defect

What is the second factor of the conformal symmetry in a conformal defect?

The rotational symmetry in the transverse directions

What type of symmetry does the second factor of the conformal symmetry act like?

A global symmetry on the degrees of freedom localized on the defect

What are the two categories of holographic description of defects?

Brane placed in the bulk spacetime and fully back reacted solution of the supergravity

In the first category of holographic description, what is neglected in the probe approximation?

Gravitational back reaction of the brane

In the second category of holographic description, what factors are used to construct the solution?

AdS and sphere factors warped over a base space

What can the base space be in the second category of holographic description?

A line or a Riemann surface with boundary

What is the main focus of the paper?

The holographic description of p = 4 dimensional defects in d = 6 dimensional SCFTs.

What is the gauge symmetry in the seven-dimensional gauged supergravity?

U(1) × U(1)

What is the relation between the constructed solutions and black hole solutions?

The constructed solutions are obtained from double analytic continuation of black hole solutions.

What is the dimensionality of the SCFTs considered in the paper?

Six-dimensional

What is the dimensionality of the defects described in the paper?

Four-dimensional

What is the symmetry group of the gauged supergravity theory?

SO(5)

What is the role of the spindle solutions in the compactifications?

They correspond to novel compactifications dual to four-dimensional SCFTs where supersymmetry is preserved.

What is the dimensionality of the gauged supergravity theory?

Seven-dimensional

What is the truncation of the gauged supergravity theory considered in the paper?

Maximal N = 4, SO(5) gauged supergravity with U(1) × U(1) gauge symmetry and two scalars.

What is the number of preserved supersymmetries for the extremal solution with one nonzero charge?

Half of the thirty-two supersymmetries of the gauged supergravity theory.

Test your knowledge on extended conformal defects in superconformal field theories (SCFT) with this quiz. Explore the preservation of symmetries and understand the role of p-dimensional conformal defects in d-dimensional SCFTs. Get ready to delve into the fascinating world of the SO(p, 2) × SO(d − p) subgroup of the SO(d, 2) conformal group.

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