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Setting Limits on Supersymmetry Using Simplified Models

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

This summary is machine-generated.

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.

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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.