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arXiv · 1503.05982

Wilson Loops for M2- and M5-brane spaces

Edward Quijada·Henrique Boschi-Filho
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Abstract

We calculate configuration energies of string-like membranes in M2- and M5-brane spaces. In the near horizon approximation these backgrounds reduce to $AdS_4\times S^7$ and $AdS_7\times S^4$ 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.

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Edward Quijada, Henrique Boschi-Filho. 2015-03-20. Wilson Loops for M2- and M5-brane spaces. https://doi.org/10.1103/physrevd.92.066010

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