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Abstract
© 2016 The Author(s)
In three spacetime dimensions, (super)conformal geometry is controlled by the (super)Cotton tensor. We present a new duality transformation for Nextended supersymmetric theories formulated in terms of the linearised superCotton tensor or its higher spin extensions for the cases N=2,1,0. In the N=2 case, this transformation is a generalisation of the linear–chiral duality, which provides a dual description in terms of chiral superfields for general models of selfinteracting N=2 vector multiplets in three dimensions and N=1 tensor multiplets in four dimensions. For superspin1 (gravitino multiplet), superspin3/2 (supergravity multiplet) and any higher superspin s=2, the duality transformation relates a higherderivative theory to one containing at most two derivatives at the component level. In the N=1 case, we introduce gauge prepotentials for higher spin superconformal gravity and construct the corresponding superCotton tensors, as well as the higher spin extensions of the linearised N=1 conformal supergravity action. Our N=1 duality transformation is a higher spin extension of the known superfield duality relating the massless N=1 vector and scalar multiplets. Our N=0 duality transformation is a higher spin extension of the vectorscalar duality.
In three spacetime dimensions, (super)conformal geometry is controlled by the (super)Cotton tensor. We present a new duality transformation for Nextended supersymmetric theories formulated in terms of the linearised superCotton tensor or its higher spin extensions for the cases N=2,1,0. In the N=2 case, this transformation is a generalisation of the linear–chiral duality, which provides a dual description in terms of chiral superfields for general models of selfinteracting N=2 vector multiplets in three dimensions and N=1 tensor multiplets in four dimensions. For superspin1 (gravitino multiplet), superspin3/2 (supergravity multiplet) and any higher superspin s=2, the duality transformation relates a higherderivative theory to one containing at most two derivatives at the component level. In the N=1 case, we introduce gauge prepotentials for higher spin superconformal gravity and construct the corresponding superCotton tensors, as well as the higher spin extensions of the linearised N=1 conformal supergravity action. Our N=1 duality transformation is a higher spin extension of the known superfield duality relating the massless N=1 vector and scalar multiplets. Our N=0 duality transformation is a higher spin extension of the vectorscalar duality.
Original language  English 

Pages (fromto)  308312 
Number of pages  5 
Journal  Physics Letters, Section B: Nuclear, Elementary Particle and HighEnergy Physics 
Volume  763 
DOIs  
Publication status  Published  10 Dec 2016 
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Advances in HIgher Spin Gauge Theory
Kuzenko, S., Sorokin, D. & Vasiliev, M.
ARC Australian Research Council
1/01/16 → 31/12/19
Project: Research