Wilson Loops for M2- and M5-brane spaces

Abstract

We calculate configuration energies of string-like membranes in M2- and M5-brane spaces. In the near horizon approximation these backgrounds reduce to $Ad{S}_4\times S^7$ and $Ad{S}_7\times S^4$ spaces and the dual theories are supersymmetric $SU(N)$ gauge theories, in accordance with the AdS/CFT correspondence. In this case the string-like configuration energy is identified with the quark and anti-quark energy interaction in the dual theories. Far from the horizon the dual theory is more involved but any how we were able to calculate the string-like configuration energy. For limiting regimes we find simpler solutions for which some potentials exhibit a confinement behavior while others are non-confining.

Cover + 14 pages. The manuscript was completely rewritten due to fundamental errors in the previous version

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Cited by in corpus (1)

• A Study of confinement for $Q\bar{Q}$ potentials on D3, M2 & M5 branes