Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

8.0K
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,...
8.0K
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

8.3K
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...
8.3K
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

3.6K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
3.6K
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

3.0K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
3.0K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

7.9K
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...
7.9K
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

3.2K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
3.2K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same journal

Impact of room configuration on energy use intensity in high-density pilgrim accommodations: a case study in Makkah, Saudi Arabia.

Scientific reports·2026
Same journal

Retraction Note: Improving the power production efficiency of microbial fuel cell by using biosynthesized polyanaline coated Fe<sub>3</sub>O<sub>4</sub> as pencil graphite anode modifier.

Scientific reports·2026
Same journal

Stylopine as multi-target anti-Alzheimer agent.

Scientific reports·2026
Same journal

Principal component analysis of morphological features of the aortic arch for predicting the risk for acute type B aortic dissection.

Scientific reports·2026
Same journal

An explainable AfroXLMR approach for multi-label emotion classification of Amharic social media text with dataset release.

Scientific reports·2026
Same journal

Bridging in vitro bioactivities and in silico insights of Rubia cordifolia L. (Rubiaceae) leaf extracts for therapeutic applications.

Scientific reports·2026

Related Experiment Video

Updated: Sep 4, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

Generalized monodromy method in gauge/gravity duality.

Yuanpeng Hou1,2,3

  • 1Xinjiang Astronomical Observatory, Chinese Academy of Sciences, 150 Science 1-Street, Urumqi, 830011, China. houyuanpeng@xao.ac.cn.

Scientific Reports
|July 14, 2022
PubMed
Summary
This summary is machine-generated.

This study generalizes the monodromy method for computing Virasoro conformal blocks by using higher-level degenerate operators. The generalized method yields results consistent with the standard approach, revealing underlying physical principles.

More Related Videos

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K

Related Experiment Videos

Last Updated: Sep 4, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K

Area of Science:

  • Theoretical physics
  • Mathematical physics

Background:

  • The method of monodromy is crucial for calculating Virasoro conformal blocks in 2d CFT.
  • Typically, a level-two degenerate operator is used in this method.

Purpose of the Study:

  • To generalize the monodromy method by employing higher-level degenerate operators.
  • To explore the implications of using arbitrary degenerate operators in the monodromy method.

Main Methods:

  • Insertion of higher-level degenerate operators (e.g., level-three) into correlation functions.
  • Derivation and solution of the generalized monodromy problem.
  • Perturbative and numerical analysis of the derived problem.

Main Results:

  • The generalized monodromy problem was derived and solved.
  • The solutions obtained using higher-level operators agree with the standard monodromy method.
  • The physical origin and mathematical implications of this agreement were investigated.

Conclusions:

  • The choice of degenerate operator level in the monodromy method is flexible and does not alter the fundamental physical principles.
  • This generalization offers new perspectives on computing conformal blocks and understanding CFT structure.