Skip to main content

NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

The non-Abelian Duality Problem

Published

Author(s)

Emanuel H. Knill, E. Cobanera, Gerardo Ortiz

Abstract

We exploit a new theory of duality transformations to construct dual representations of models incompatible with traditional duality transformations. Hence we obtain a solution to the long-standing problem of non-Abelian dualities that hinges on two key observations: i) from the point of view of dualities, whether the group of symmetries of a model is or is not Abelian is unimportant, and ii) the new theory of dualities that we exploit includes traditional duality transformations, but also introduces in a natural way more general transformations.
Citation
Physical Review Letters

Keywords

duality in physics, partition functions, phase transitions

Citation

Knill, E. , Cobanera, E. and Ortiz, G. (2012), The non-Abelian Duality Problem, Physical Review Letters, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=911428 (Accessed October 10, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created June 6, 2012, Updated February 19, 2017
Was this page helpful?