2D Heisenberg model from rotating membrane

Abstract

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.

15 pages, revtex file, no figure

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Cited by in corpus (5)

• Finite-size effects of Membranes on AdS_4 x S_7
• Giant Magnons and Spiky Strings on S^3 with B-field
• Spin chain from membrane and the Neumann-Rosochatius integrable system
• Rotating Membranes in AdS_4xM^{1,1,1}
• Probing Non-Toric Geometry with Rotating Membranes