$N^3$ entropy of M5 branes from dielectric effect

Abstract

We observe that the $N^3$ entropy behavior of near-extermal M5 branes can be reproduced from SYM side with the role of Myers' terms. We start by generalizing the Klebanov-Tseytlin (KT) supergravity solution that displays the $N^3$ entropy behavior. The new feature of the general solution is visibility of the "internal" degrees of the M5 branes, i.e., the M0 branes and the M2 branes. With the rationale provided by the supergravity analysis, we consider a D0 brane quantum mechanical setup with Myers' terms. Using localization technique, we show that the leading $N^3$ behavior of the free energy comes from the "classical contribution" with the rest sub-leading.

latex, 21 pages, missing figure added

References in corpus (13)

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• On D=5 super Yang-Mills theory and (2,0) theory
• M-theory branes and their interactions
• On Wess-Zumino terms of Brane-Antibrane systems
• More on WZ action of non-BPS branes
• Lectures on instantons
• On effective actions of BPS branes and their higher derivative corrections
• More on closed string induced higher derivative interactions on D-branes
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• Universality in all-order ${\alpha }^{\prime }$ corrections to BPS/non-BPS brane world volume theories
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