2D Heisenberg model from rotating membrane

Understand

We study a rotating probe membrane in S^3 inside AdS_4 x S^7 background of M-theory.

• With (partial) gauge fixing, we show that in the fast limit the worldvolume of tensionless membrane reduces to either the XXX_1/2 spin chain or the two-dimensional SU(2) Heisenberg spin model.
• Later we introduce the anisotropy and couple it to the external magnetic field.
• We also establish the correspondence for higher dimensional (D)p-branes.