Zoology of heterotic supercurrent supermultiplets in d = 2

Abstract

We present various (0, 2) heterotic supercurrent supermultiplets in (1+1) dimensional quantum field theories. From the minimal supercurrent supermultiplets, we deduce conditions on symmetry enhancement such as Lorentz invariance, (chiral) dilatation invariance, R-invariance, (chiral) conformal invariance and their various combinations. Our construction covers many interesting and/or exotic possibilities such as Lifshitz supersymmetry and warped superconformal algebra. We also discuss the corresponding supergravity by gauging the supercurrent supermultiplet.In particular, we propose a novel class of heterotic supergravity based on the virial supercurrent.

Boundary theories for dilaton supergravity in 2D

“…The algebra of J , T , ψ corresponds to the warped superconformal algebra (see e.g. [56]) with a twist term. For vanishing fermions it reduces to the algebra (6.28) in [38].…”