# Studying the behavior of supersymmetric systems using binary arithmetic and computers.

## Presentation Type

Poster

## Presentation Type

Submission

## Department

Mathematics

## Major

Physics

## Abstract

Studying supersymmetric equations can be difficult. One way that simplifies this is by using existing techniques or representing the equations with graphs. These graphs are known as Adinkras. Adinkras help us see a complete set of equations. Finding Adinkras becomes increasingly more difficult as the equations grow in size. To address this we have tried to apply computational methods to generating Adinkras. This was done by using binary numbers and modular arithmetic to generate the different components of Adinkras. This will allow for the generating of Adinkras that would be too difficult to do by hand. By doing this we hope to better understand the structures these equations produce beyond the limits of manual exploration. Currently the program is limited by the information lost by representing the data structures with binary. In the future we hope to advance the study of adinkras using computers and find new structures to categorize.

## Faculty Mentor

Dr Kevin Iga

## Location

Waves Cafeteria

## Start Date

22-3-2024 1:30 PM

## End Date

22-3-2024 2:30 PM

Studying the behavior of supersymmetric systems using binary arithmetic and computers.

Waves Cafeteria

Studying supersymmetric equations can be difficult. One way that simplifies this is by using existing techniques or representing the equations with graphs. These graphs are known as Adinkras. Adinkras help us see a complete set of equations. Finding Adinkras becomes increasingly more difficult as the equations grow in size. To address this we have tried to apply computational methods to generating Adinkras. This was done by using binary numbers and modular arithmetic to generate the different components of Adinkras. This will allow for the generating of Adinkras that would be too difficult to do by hand. By doing this we hope to better understand the structures these equations produce beyond the limits of manual exploration. Currently the program is limited by the information lost by representing the data structures with binary. In the future we hope to advance the study of adinkras using computers and find new structures to categorize.