Relation between standard and exotic duals of differential forms

Chatzistavrakidis, Athanasios; Karagiannis, Georgios (2019) Relation between standard and exotic duals of differential forms. Physical Review D, 100 (12). ISSN 2470-0010

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Abstract

Exotic duality suggests a link between gauge theories for differential p -forms and tensor fields of mixed symmetry [ D − 2 , p ] in D spacetime dimensions. On the other hand, standard Hodge duality relates p -form to ( D − p − 2 ) -form gauge potentials by exchanging their field equations and Bianchi identities. Following the methodology and the recent proposal of Henneaux et al. that the double dual of the free graviton is algebraically related to the original graviton and does not provide a new, independent description of the gravitational field, we examine the status of exotic duality for p -forms. We find that the exotic dual is algebraically related to the standard dual of a differential form, and therefore they provide equivalent descriptions as free fields. Introducing sources then leads to currents being proportional. This relation is extended in a straightforward way for higher exotic duals of the mixed symmetry type [ D − 2 , … , D − 2 , p ] .

Item Type:	Article
Uncontrolled Keywords:	physics ; Supergravity
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Nove geometrije za gravitaciju i prostor-vrijeme-GRASP Athanasios Chatzistavrakidis IP-2018-01-7615 HRZZ Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SIN Blazenka Melic KK.01.1.1.06.0006 EK
Depositing User:	Athanasios Chatzistavrakidis
Date Deposited:	14 May 2020 10:38
URI:	http://fulir.irb.hr/id/eprint/5807
DOI:	10.1103/physrevd.100.121902

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