Related Experiment Video
Updated: Dec 29, 2025
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
8.9K
Global symmetries and SUSY
Jock McOrist1, Ilarion V Melnikov2, Brian Wecht3
11Department of Mathematics, University of Surrey Guildford, Surrey, GU2 7XH UK.
Letters in Mathematical Physics
|February 4, 2020
Summary
We show that gauging symmetries in certain quantum field theories leaves a specific global symmetry. This suggests that some complex theories may not emerge from simpler, weakly coupled gauge theories.
Area of Science:
- Theoretical Particle Physics
- Quantum Field Theory
- String Theory
Background:
- N=4 super Yang-Mills (SYM) theories are fundamental in understanding quantum field theories.
- Gauging the non-R global symmetry of free hypermultiplets is a key construction in theoretical physics.
- Understanding the global symmetries of resulting theories is crucial for classification and identifying fixed points.
Purpose of the Study:
- To investigate the global symmetries of N=4 gauge theories constructed from free hypermultiplets.
- To determine the implications of these symmetries for the emergence of specific quantum field theories as infrared (IR) fixed points.
Main Methods:
- Analyzing the structure of N=4 gauge theories obtained by gauging subgroups of the non-R global symmetry of free hypermultiplets.
- Applying group theory and symmetry analysis to identify the remaining global symmetry factors.
Main Results:
- Theories formed by gauging N free hypermultiplets possess a global symmetry that is a direct sum of unitary, symplectic, and special orthogonal factors.
- This finding constrains the possible infrared fixed points accessible from weakly coupled N=4 gauge theories.
Conclusions:
- The identified global symmetry structure suggests that certain theories, like Gaiotto's N=4 theories with specific symmetry properties, are unlikely to arise as IR fixed points of these gauge theories.
- This work provides a new perspective on the landscape of quantum field theories and their relationships through renormalization group flows.
Keywords:
Quantum field theoryRepresentations of Lie algebrasSupersymmetric super Yang–Mills theorySymmetry breakingMore Related Videos
11:24Optimized Fabrication Procedure for High-Quality Graphene-based Moiré Superlattice Devices
Published on: July 11, 2025
14.4K
06:35Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
Published on: February 15, 2016
8.4K
Related Concept Videos
01:28Symmetry in Maxwell's Equations
4.0K
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...
4.0K
01:27Gauss's Law: Planar Symmetry
9.2K
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...
9.2K
01:26Symmetry
131
The equation of an ellipse centered at the origin defines all points whose distances from the center maintain a constant ratio between the horizontal and vertical axes. This equation results in a smooth, closed curve that extends further along the x-axis than the y-axis, giving it a horizontal orientation. Such an ellipse demonstrates three kinds of symmetry: across the x-axis, across the y-axis, and about the origin. These symmetries are essential in understanding the graph's structure and...
131
01:21Properties of Fourier series II
469
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
A function f(t) is...
469
01:26Gauss's Law: Spherical Symmetry
8.9K
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 has a...
8.9K
01:20Gauss's Law: Cylindrical Symmetry
9.1K
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,...
9.1K