Non-commutative duality: high spin fields and CP1 model with Hopf term
Physics Letters B, ISSN: 0370-2693, Vol: 602, Issue: 3, Page: 238-248
2004
- 8Citations
- 1Captures
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
We show that the non-commutative CP1 model coupled with Hopf term in 3 dimensions is equivalent to an interacting spin- s theory where the spin- s of the dual theory is related to the coefficient of the Hopf term. We use the Seiberg–Witten map in studying this non-commutative duality equivalence, keeping terms to order θ and show that the spin of the dual theory do not get any θ -dependant corrections. The map between current correlators shows that topological index of the solitons in the non-commutative CP1 model is unaffected by θ where as the Noether charge of the corresponding dual particle do get a θ dependence. We also show that this dual theory smoothly goes to the limit θ→0 giving dual theory in the commutative plane.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S037026930401411X; http://dx.doi.org/10.1016/j.physletb.2004.09.070; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=7444267508&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S037026930401411X; https://dul.usage.elsevier.com/doi/; https://api.elsevier.com/content/article/PII:S037026930401411X?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S037026930401411X?httpAccept=text/plain; https://dx.doi.org/10.1016/j.physletb.2004.09.070
Elsevier BV
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know