Transport Coefficients of Black MQGP M3-Branes

Abstract

The SYZ mirror, in the `delocalized limit' of [1], of (M)N (fractional)D3-branes, and wrapped N_f flavor D7-branes in the presence of a black-hole resulting in a non-Kaehler resolved warped deformed conifold (NKRWDC) in [2], was carried out in [3] and resulted in black M3-branes. The uplift, if valid globally(like [4] for fractional D3 branes in conifolds), asymptotes to M5-branes wrapping a two-cycle (homologously an (large) integer sum of two-spheres) in AdS_5xM_6. Interestingly, in the MQGP limit, assuming the deformation > resolution, by estimating the five SU(3) structure torsion (τ) classes W_{1,2,3,4,5} we show that τ\in W_4+W_5: 2/3 Re(W^3bar_5)=W^3bar_4 in the UV, implying the NKRWDC locally preserves SUSY. Further, the local T^3 of [3] in the large-r limit and the `MQGP' limit of [3], satisfies the same conditions as the maximal T^2-invariant special Lagrangian three-cycle of T^*(S^3) of [6], partly justifying use of local SYZ mirror symmetry in [3]. Using the Ouyang embedding in the DBI action of a D7-brane or by dimensionally reducing the 11-dimensional EH action to five (R^{1,3},r) dimensions, we then calculate a variety of gauge and metric-perturbation-modes' two-point functions using the prescription of [5], and show: (i) diffusion constant D~1/T, (ii) the electrical conductivity σ~T, (iii) the charge susceptibility χ~ T^2, (iv) [using (i) - (iii)] the Einstein's relation σ/χ=D, is indeed satisfied, (v) the R-charge diffusion constant D_R~1/T, and (vi) the possibility of generating η/s=1/4pi from solutions to the vector and tensor mode metric perturbations' EOMs, separately. All results are also valid in the limit of [2].

v4:1+50 pages, correction in torsion classes: type IIB, locally, has SUSY in the UV

References in corpus (10)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Metallic AdS/CFT
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• AdS spacetimes from wrapped M5 branes
• Photoemission with Chemical Potential from QCD Gravity Dual
• Thermal photon production in a strongly coupled anisotropic plasma
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• A note on conductivity and charge diffusion in holographic flavour systems
• Towards MQGP

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