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Related Concept Videos

Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
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Gauss's Law: Planar Symmetry01:27

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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Gauss's Law: Cylindrical Symmetry01:20

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Gravitation Between Spherically Symmetric Masses01:14

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The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
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Gravity between Spherical Bodies01:27

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Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
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Setting Limits on Supersymmetry Using Simplified Models
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Gauss-Bonnet Supergravity in Six Dimensions.

Joseph Novak1, Mehmet Ozkan2, Yi Pang1

  • 1Max-Planck-Insitut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, DE-14476 Potsdam, Germany.

Physical Review Letters
|September 27, 2017
PubMed
Summary

We constructed the first off-shell N=(1,0) supersymmetrization of curvature squared terms in six dimensions. This advances understanding of low-energy superstring theory and compactified string models.

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Area of Science:

  • High-energy theoretical physics
  • String theory
  • Supersymmetry

Background:

  • Curvature squared terms are crucial in low-energy string theory.
  • The Gauss-Bonnet combination is a key ghost-free invariant.
  • Supersymmetric compactifications are vital for model building.

Purpose of the Study:

  • To construct the off-shell N=(1,0) supersymmetrization of curvature squared terms in six dimensions.
  • To confirm and extend results for α'-corrected string theory compactified to six dimensions.
  • To analyze the spectrum of the AdS₃×S³ solution.

Main Methods:

  • Supersymmetrization of curvature squared terms.
  • Integration of the supersymmetric Einstein-Hilbert term.
  • Spectral analysis of the AdS₃×S³ solution.

Main Results:

  • The first off-shell N=(1,0) supersymmetrization of curvature squared terms in six dimensions was successfully constructed.
  • Known results for α'-corrected string theory compactified to six dimensions were confirmed and extended.
  • The spectrum of the AdS₃×S³ solution was analyzed.

Conclusions:

  • The constructed supersymmetrization provides a new tool for studying string theory compactifications.
  • The findings offer deeper insights into α'-corrections in string theory.
  • The spectral analysis contributes to understanding the properties of specific string theory solutions.