On consistent truncations in $\mathcal{N}=2^{\ast }$ holography

Abstract

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-$N$ $SU(N)$ $\mathcal{N}=2^{\ast }$ 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 $\mathcal{N}=2^{\ast }$ plasma. We compute the quasinormal spectrum of these bulk scalar fields in the thermal PW flows and demonstrate that these modes do not condense, as long as the masses of the $\mathcal{N}=2^{\ast }$ hypermultiplet components are real.

13 pages, 2 figures; supplemental files attached

References in corpus (3)

• Bulk viscosity of gauge theory plasma at strong coupling
• Thermodynamics of the N=2^* strongly coupled plasma
• Critical phenomena in N=2* plasma

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