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Duality and Higher Buscher Rules in p ‐Form Gauge Theory and Linearized Gravity

Chatzistavrakidis, Athanasios; Karagiannis, Georgios; Ranjbar, Arash (2021) Duality and Higher Buscher Rules in p ‐Form Gauge Theory and Linearized Gravity. Fortschritte der Physik, 69 (3). ISSN 0015-8208

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We perform an in-depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, p-form gauge fields, linearized gravitons or (p, 1) mixed symmetry tensors. Following a similar reasoning to the derivation of the Buscher rules for string background fields under T-duality, we show that the couplings for all classes of aforementioned multi-field theories transform according to one of two sets of duality rules. These sets comprise the ordinary Buscher rules and their higher counterpart; this is a generic feature of multi-field theories in spacetime dimensions where the field strength and its dual are of the same degree. Our analysis takes into account topological theta terms and generalized B-fields, whose behavior under duality is carefully tracked. For a 1-form or a graviton in 4D, this reduces to the inversion of the complexified coupling or generalized metric under electric/magnetic duality. Moreover, we write down an action for linearized gravity in the presence of θ-term from which we obtain previously suggested on-shell duality and double duality relations. This also provides an explanation for the origin of theta in the gravitational duality relations as a specific additional sector of the linearized gravity action.

Item Type: Article
Uncontrolled Keywords: duality; gravity; gauge theory
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
Depositing User: Georgios Karagiannis
Date Deposited: 22 Nov 2021 13:41
DOI: 10.1002/prop.202000135

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