Some New Non-Abelian 2D Dualities

Gustafsson, Henrik P. A.; Hjelmeland, Svend E.; Lindström, Ulf

doi:10.1238/physica.regular.060a00305

Cited by 2 publications

(3 citation statements)

References 23 publications

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“…Furthermore, as has been pointed in [24,25,26], a self-duality relating massive scalar and vector fields may be relevant for string theory in the context of massive type IIA Sugra, however the self-duality presented here is new.…”

Section: Discussionmentioning

confidence: 58%

Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions

Cantcheff

2002

EPJ direct

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It is often claimed [1] 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.

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Section: Discussionmentioning

confidence: 58%

Hodge-type self(antiself)-duality for general p-form fields in arbitrary dimensions

Cantcheff

2002

EPJ direct

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“…The matrix (18) can be in general singular. Algebraically its inverse can be given, although not in a general simple form.…”

Section: Non-abelian Chern-simons Dual Actionmentioning

confidence: 99%

“…In these papers, it was found that at the classical level, the non-abelian dual theories are also non-abelian Chern-Simons theories with inverted level, just as in the abelian case. Recently, some new non-abelian dualities in two-dimensional models were discovered by reducing dimensionally certain three-dimensional non-abelian dual systems [18]. These results seem to be relevant to massive IIA supergravity.…”

Section: Introductionmentioning

confidence: 99%