Deformation of BF theories, topological open membrane and a generalization of the star deformation | Zendy

Noriaki Ikeda | Zendy

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Deformation of BF theories, topological open membrane and a generalization of the star deformation

Author(s) -

Noriaki Ikeda

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/07/037

Subject(s) - noncommutative geometry , brst quantization , star (game theory) , gauge theory , physics , generalization , formalism (music) , deformation (meteorology) , topology (electrical circuits) , homogeneous space , theoretical physics , mathematical physics , mathematics , geometry , mathematical analysis , combinatorics , art , musical , visual arts , astrophysics , meteorology

We consider a deformation of the BF theory in any dimension by means of theantifield BRST formalism. Possible consistent interaction terms for the actionand the gauge symmetries are analyzed and we find a new class of topologicalgauge theories. Deformations of the world volume BF theory are considered aspossible deformations of the topological open membrane. Therefore if weconsider these theories on open membranes, we obtain noncommutative structuresof the boundaries of open membranes, and we propose a generalization of thepath integral representation of the star deformation.Comment: 22 pages, minor changes, references adde

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