Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-25
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 38 pages, typos fixed, new Appendices added, one new reference added
Scientific paper
Taking the simple examples of an Abelian 1-form gauge theory in two (1 + 1)-dimensions, a 2-form gauge theory in four (3 + 1)-dimensions and a 3-form gauge theory in six (5 + 1)-dimensions of spacetime, we establish that such gauge theories respect, in addition to the gauge symmetry transformations that are generated by the first-class constraints of the theory, additional continuous symmetry transformations. We christen the latter symmetry transformations as the dual-gauge symmetry transformations. We generalize the above gauge- and dual-gauge symmetry transformations to obtain the proper (anti-)BRST and (anti-)dual-BRST transformations for the Abelian 3-form gauge theory within the framework of BRST formalism. We claim that any arbitrary Abelian p-form (p = 1,2,3,...) gauge theory would respect the above cited additional symmetry in D = 2 p dimensions of spacetime. By exploiting the above inputs, we establish that the Abelian 3-form gauge theory, in six (5 + 1)-dimensions of spacetime, is a model for the Hodge theory whose discrete and continuous symmetry transformations provide the physical realizations of the cohomological operators of differential geometry.
Krishna Sanjay
Kumar Raghwendra
Malik R. P.
Shukla Alok
No associations
LandOfFree
Dual-gauge and co-BRST symmetries in Abelian gauge theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dual-gauge and co-BRST symmetries in Abelian gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dual-gauge and co-BRST symmetries in Abelian gauge theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-75171