Zoology of heterotic supercurrent supermultiplets in d=2

Understand

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.