Off-shell $${\mathcal {N}}=(1,0)$$ linear multiplets in six dimensions

Abstract

AbstractWe provide a tensor calculus for n-number of $${\mathcal {N}}= (1,0)$$<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mn>0</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> linear multiplets in six dimensions. The coupling of linear multiplets is encoded in a function $${\mathcal {F}}_{IJ}$$<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>F</mml:mi> <mml:mrow> <mml:mi>IJ</mml:mi> </mml:mrow> </mml:msub> </mml:math> that is subject to certain constraints. We provide various rigid and local supersymmetric models depending on the choice of the function $${\mathcal {F}}_{IJ}$$<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>F</mml:mi> <mml:mrow> <mml:mi>IJ</mml:mi> </mml:mrow> </mml:msub> </mml:math> and provide an interesting off-diagonal superinvariant, which leads to an $$R^2$$<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>R</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> supergravity upon elimination of auxiliary fields.