(2,0) Tensor Multiplets and Conformal Supergravity in D=6

TL;DR

This paper constructs the supercurrent multiplet for the (2,0) tensor multiplet, develops superconformal transformation rules, and explores coupling to conformal supergravity, advancing understanding of (2,0) supergravity theories in six dimensions.

Contribution

It provides the first detailed construction of the supercurrent multiplet and full non-linear superconformal transformations for the (2,0) tensor multiplet in six dimensions.

Findings

Constructed the supercurrent multiplet for (2,0) tensor multiplet.

Derived full non-linear superconformal transformation rules.

Established coupling of multiple tensor multiplets to conformal supergravity.

Abstract

We construct the supercurrent multiplet that contains the energy-momentum tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to the fields of conformal supergravity, we first construct the linearized superconformal transformations rules of the (2,0) Weyl multiplet. Next, we construct the full non-linear transformation rules by gauging the superconformal algebra OSp(8^*|4). We then use this result to construct the full equations of motion of the tensor multiplet in a conformal supergravity background. Coupling N+5 copies of the tensor multiplet to conformal supergravity and imposing a geometrical constraint on the scalar fields which fixes the conformal symmetry, we obtain the coupling of (2,0) Poincare supergravity to N tensor multiplets in which the physical scalars parametrize the coset SO(N,5)/(SO(N) x SO(5)).