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

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20 Questions

What is the dimensionality of the defects considered in this study?

4

What is the dimensionality of the SCFTs?

6

What is the gauge symmetry of the gauged supergravity in seven dimensions?

U(1) × U(1)

What is the dimension of the compact surface with conical deficits?

2

What is the main result regarding the two charge extremal solution?

There is no conical deficit at the location where the circle closes off

What is the truncation of the supergravity considered in this study?

Maximal N = 4, SO(5) gauged supergravity

What is the parameter space of the regular solutions?

One parameter

What is the factor replaced in the black hole solution?

S 5

How many supercharges are preserved by the extremal solution with two nonzero charges?

A quarter of the thirty-two super- symmetries

What is the dimensionality of the uplifted solutions?

11

What is the subject of investigation in superconformal field theories?

Extended conformal defects

How are defects characterized?

By the 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 does the first factor of the preserved subgroup represent?

The conformal symmetry acting on the world volume of the defect

What does the second factor of the preserved subgroup represent?

The rotational symmetry in the transverse directions

What is the holographic description of conformal defects?

The description of such defects in a holographic dual

What are the two categories of holographic description of defects?

A brane placed in the bulk spacetime or a fully back reacted solution of the supergravity

What is the gravitational back reaction of a brane in the bulk spacetime neglected in?

Probe approximation

How is the embedding of the brane determined in the probe approximation?

By solving the world volume equations of motion or the BPS-condition following from world volume kappa symmetry

What ansatz can be used to construct a fully back reacted solution of the supergravity?

An ansatz of AdS and sphere factors warped over a base space

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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