Chern-Simons in the Seiberg-Witten map for non-commutative Abelian gauge theories in 4D

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ID: 273431
2002
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Abstract
A cohomological BRST characterization of the Seiberg-Witten (SW) map is given. We prove that the coefficients of the SW map can be identified with elements of the cohomology of the BRST operator modulo a total derivative. As an example, it will be illustrated how the first coefficients of the SW map can be written in terms of the Chern-Simons three form. This suggests a deep topological and geometrical origin of the SW map. The existence of the map for both abelian and non-abelian case is discussed. By using a recursive argument and the associativity of the -product, we shall be able to prove that the Wess-Zumino consistency condition for non-commutative BRST transformations is fulfilled. The recipe of obtaining an explicit solution by use of the homotopy operator is briefly reviewed in the abelian case.
Reference Key
sorella2002journalchern-simons Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Marco Picariello,Andrea Quadri,Silvio P. Sorella;Marco Picariello;Andrea Quadri;Silvio P. Sorella;
Journal journal of high energy physics
Year 2002
DOI
10.1088/1126-6708/2002/01/045
URL
https://sciprofiles.com/publication/view/afba082e6d25952321ca2dfaea95e910
Keywords
abelian brst commutative coefficients chern witten simons seiberg sw map

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