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A unified approach to standard and exotic dualizations through graded geometry

Chatzistavrakidis, Athanasios; Karagiannis, Georgios; Schupp, Peter (2020) A unified approach to standard and exotic dualizations through graded geometry. Communications in Mathematical Physics, 378 (2). pp. 1157-1201. ISSN 0010-3616

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Gauge theories can often be formulated in different but physically equivalent ways, a concept referred to as duality. Using a formalism based on graded geometry, we provide a unified treatment of all parent theories for different types of standard and exotic dualizations. Our approach is based on treating tensor fields as functions of a certain degree on graded supermanifolds equipped with a suitable number of odd coordinates. We present a universal two-parameter first order action for standard and exotic electric/magnetic dualizations and prove in full generality that it yields two dual second order theories with the desired field content and dynamics. Upon choice of parameters, the parent theory reproduces (i) the standard and exotic duals for p-forms and (ii) the standard and double duals for (p, 1) bipartite tensor fields, such as the linearized graviton and the Curtright field. Moreover, we discuss how deformations related to codimension-1 branes are included in the parent theory.

Item Type: Article
Uncontrolled Keywords: graded geometry; gauge theory; gravity; duality
Subjects: NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Nove geometrije za gravitaciju i prostor-vrijeme-GRASPAthanasios ChatzistavrakidisIP-2018-01-7615HRZZ
Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SINBlaženka MelićKK.
Depositing User: Georgios Karagiannis
Date Deposited: 22 Nov 2021 14:04
DOI: 10.1007/s00220-020-03728-x

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