Related Experiment Video
Updated: May 8, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
N=4 superconformal bootstrap
Christopher Beem1, Leonardo Rastelli, Balt C van Rees
1Simons Center for Geometry and Physics, Stony Brook University (SUNY), Stony Brook, New York 11794-3636, USA.
Physical Review Letters
|September 3, 2013
Summary
We used the conformal bootstrap to find bounds on operator dimensions in N=4 superconformal field theories. An extremal spectrum, potentially from N=4 supersymmetric Yang-Mills theory, is singled out by these constraints.
Area of Science:
- Theoretical physics
- Quantum field theory
- String theory
Background:
- N=4 superconformal field theories (SCFTs) are key models in theoretical physics.
- Understanding their properties, especially operator scaling dimensions, is crucial.
- The conformal bootstrap is a powerful tool for constraining quantum field theories.
Purpose of the Study:
- To apply the conformal bootstrap to N=4 SCFTs in four dimensions.
- To derive upper bounds on scaling dimensions of unprotected local operators.
- To identify specific operator spectra predicted by these constraints.
Main Methods:
- Implementation of the conformal bootstrap method.
- Analysis of the four-point function of the stress-energy tensor multiplet.
- Derivation of bounds on operator scaling dimensions as functions of the central charge.
Main Results:
- Significant upper bounds were found for scaling dimensions.
- A unique operator spectrum was identified at the threshold of exclusion.
- These results constrain possible operator content of N=4 SCFTs.
Conclusions:
- The extremal spectrum identified likely corresponds to N=4 supersymmetric Yang-Mills theory.
- This occurs at an S-duality invariant value of the complexified gauge coupling.
- The conformal bootstrap provides strong constraints on N=4 SCFTs.
Related Concept Videos
01:18Superposition Theorem
The superposition principle is a fundamental concept stating that in a linear circuit, the voltage across (or current through) an element can be determined by summing the individual contributions of each independent source acting in isolation. When dealing with linear circuits containing multiple independent sources, this principle serves as a valuable tool for analysis. To apply the superposition principle effectively, one should focus on a single independent source at a time while...
01:24Superconductor
A substance that reaches superconductivity, a state in which magnetic fields cannot penetrate, and there is no electrical resistance, is referred to as a superconductor. In 1911, Heike Kamerlingh Onnes of Leiden University, a Dutch physicist, observed a relation between the temperature and the resistance of the element mercury. The mercury sample was then cooled in liquid helium to study the linear dependence of resistance on temperature. It was observed that, as the temperature decreased, the...
02:11Conformations of Cyclohexane
Cyclohexane does not exist in a planar form due to the high angle and torsional strain it would experience in the planar structure. Instead, it adopts non-planar chair and boat conformations.
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal tetrahedral value,...
The chair form is the most stable and derives its name from its resemblance to the “easy chair.” In the chair conformation, two carbon atoms are arranged out-of-plane — one above and one below, minimizing the torsional strain. In the chair form, the bond angle is very close to the ideal tetrahedral value,...
01:24Bootstrapping
The term "bootstrap" originated in the 19th century as a metaphor for self-improvement or achieving something independently, without external assistance. This concept extends to statistical bootstrapping, a self-contained method for estimating population parameters through resampling, even though it can be computationally intensive. Developed by the American statistician Dr. Bradley Efron in 1979, bootstrapping provides a robust way to perform inference when the original sample size is small or...
01:27Gauss's Law: Planar Symmetry
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...
01:30Binomial Expansion Using Pascal's Triangle
Expanding a binomial expression such as (a + b)n results in a predictable sequence of terms that can be systematically derived using Pascal’s Triangle. This triangular array of numbers plays a central role in understanding and computing the coefficients of binomial expansions.Pascal’s Triangle is constructed such that each row corresponds to the coefficients of a binomial raised to a power. The topmost row, known as the zeroth row, corresponds to (a + b)0, and each successive row gives the...