# Relation between standard and exotic duals of differential forms

@article{Chatzistavrakidis2019RelationBS, title={Relation between standard and exotic duals of differential forms}, author={Athanasios Chatzistavrakidis and Georgios Karagiannis}, journal={Physical Review D}, year={2019} }

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, Lekeu and Leonard that the double dual of the free graviton is algebraically related to the original graviton and does not provide a new…

## 4 Citations

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

- MathematicsFortschritte der Physik
- 2021

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…

### Graded Geometry and Tensor Gauge Theories

- Physics
- 2020

We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides…

### Higher spins from exotic dualisations

- PhysicsJournal of High Energy Physics
- 2020

Abstract
At the free level, a given massless field can be described by an infinite number of different potentials related to each other by dualities. In terms of Young tableaux, dualities replace…

### Graded Geometry, Tensor Galileons and Duality

- Physics
- 2020

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…

## References

SHOWING 1-10 OF 32 REFERENCES

### Dual double field theory

- Physics
- 2016

A bstractWe present the dual formulation of double field theory at the linearized level. This is a classically equivalent theory describing the duals of the dilaton, the Kalb-Ramond field and the…

### A note on the double dual graviton

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2019

The (free) graviton admits, in addition to the standard Pauli-Fierz description by means of a rank-two symmetric tensor, a description in which one dualizes the corresponding -curvature tensor on one…

### Exotic Tensor Gauge Theory and Duality

- Physics
- 2003

Abstract: Gauge fields in exotic representations of the Lorentz group in D dimensions – i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows…

### A note on spin-s duality

- Physics
- 2003

Duality is investigated for higher spin (s ? 2), free, massless, bosonic gauge fields. We show how the dual formulations can be derived from a common ``parent, first-order action. This goes beyond…

### Effective actions of nongeometric five-branes

- Physics
- 2014

An interesting consequence of string dualities is that they reveal situations where the geometry of a string background appears to be globally ill-defined, a phenomenon usually referred to as…

### Tensor Galileons and gravity

- Physics
- 2016

A bstractThe particular structure of Galileon interactions allows for higher-derivative terms while retaining second order field equations for scalar fields and Abelian p-forms. In this work we…

### D-brane Wess-Zumino terms and U-duality

- Mathematics
- 2010

We construct gauge-invariant and U-duality covariant expressions for Wess-Zumino terms corresponding to general Dp-branes (0 ≤ p ≤ D − 1) in arbitrary 3 ≤ D ≤ 10 dimensions. A distinguishing feature…

### Gauge fields and infinite chains of dualities

- Mathematics
- 2015

A bstractWe show that the particle states of Maxwell’s theory, in D dimensions, can be represented in an infinite number of ways by using different gauge fields. Using this result we formulate the…