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On consistent truncations in ${\cal N}=2^*$ holography · Around

2013

On consistent truncations in ${\cal N}=2^*$ holography

Balasubramanian, Venkat, Buchel, Alex

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Although Pilch-Warner (PW) gravitational renormalization group flow [arXiv:hep-th/0004063] passes a number of important consistency checks to be identified as a holographic dual to a large-$N$ $SU(N)$ ${\cal N}=2^*$ supersymmetric gauge theory, it fails to reproduce the free energy of the theory on $S^4$, computed with the localization techniques.

This disagreement points to the existence of a larger dual gravitational consistent truncation, which in the gauge theory flat-space limit reduces to a PW flow.
Such truncation was recently identified by Bobev-Elvang-Freedman-Pufu (BEFP) [arXiv:1311.1508].
Additional bulk scalars of the BEFP gravitation truncation might lead to destabilization of the finite-temperature deformed PW flows, and thus modify the low-temperature thermodynamics and hydrodynamics of ${\cal N} =2^*$ plasma.

Built on

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Then

V. Pestun, Commun. Math. Phys. 313
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2012
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A. Buchel, L. Lehner and R. C. Myers, JHEP 1208
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A. Buchel, J. G. Russo and K. Zarembo, JHEP 1303
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A. Buchel, talks at Caltech (May 10, 2013); Great Lakes Strings (May 17, 2013), McGill University (November 15, 2013)
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A. Lewkowycz, R. C. Myers and M. Smolkin, JHEP 1304
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