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Graded Geometry, Tensor Galileons and Duality

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

We review some fundamental aspects of mixed symmetry tensor gauge theories using a formulation based on graded geometry. In particular, we are able to construct kinetic, mass and Galileon-type higher derivative interaction terms for such fields. The resulting elegant geometric formulas allow for shared features of these theories to be highlighted and for possible interaction terms to be classified. In addition, we argue that this formalism is very useful in studying dualities. In particular, we construct a universal first order Lagrangian that may serve as the starting point for the off shell dualizations of differential form gauge theories and generalized gravitons.

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ACKNOWLEDGMENTS

We are grateful to F.S. Khoo and D. Roest for collaboration in the part of this work that refers to tensor Galileons. A.Ch. and G.K. would also like to thank the organizers of the workshop “Supersymmetries and Quantum Symmetries—SQS’19”.

Funding

The work of A.Ch. and G.K. is supported by the Croatian Science Foundation Project “New Geometries for Gravity and Spacetime” (IP-2018-01-7615), and also partially supported by the European Union through the European Regional Development Fund—The Competitiveness and Cohesion Operational Programme (KK.01.1.1.06).

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Authors and Affiliations

  1. Division of Theoretical Physics, Rudjer Bošković Institute, 10000, Zagreb, Croatia

    A. Chatzistavrakidis & G. Karagiannis

  2. Department of Physics and Earth Sciences, Jacobs University, 28759, Bremen, Germany

    P. Schupp

Authors
  1. A. Chatzistavrakidis
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  2. G. Karagiannis
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  3. P. Schupp
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Correspondence to A. Chatzistavrakidis, G. Karagiannis or P. Schupp.

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Chatzistavrakidis, A., Karagiannis, G. & Schupp, P. Graded Geometry, Tensor Galileons and Duality. Phys. Part. Nuclei Lett. 17, 718–723 (2020). https://doi.org/10.1134/S1547477120050106

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