Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-13
Eur.Phys.J.direct C4 (2002) 6
Physics
High Energy Physics
High Energy Physics - Theory
Corrected typos. To be published in EPJC
Scientific paper
It is often claimed [PST1] that the (Hodge type) duality operation is defined only in even dimensional spacetimes and that self-duality is further restricted to twice-odd dimensional spacetime theories. The purpose of this paper is to extend the notion of both duality symmetry as well as self-duality. By considering tensorial doublets, we introduce a novel well-defined notion of self-duality based on a duality Hodge-type operation in arbitrary dimension and for any rank of these tensors. Thus, a generalized Self-Dual Action is defined such that equations of motion are the claimed generalized self-duality relations. We observe in addition, that taking the proper limit on the parameters of this action, it always provides us with a master-action, which interpolates models well-studied in physics; by considering a particular limit, we find an action which describes an interesting type of relation, referred to as semi-self-duality, which results to be the parent action between Maxwell- type actions. Finally, we apply these ideas to construct manifest Hodge-type self-dual solutions in a (2+1)-dimensional version of the Maxwell's theory.
No associations
LandOfFree
Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions 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 Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-141300