
TL;DR
This paper constructs a black M3-brane solution in M-theory from a type IIB background with D7-branes, analyzing thermodynamics, stability, and transport properties relevant for quark-gluon plasma studies.
Contribution
It develops a novel uplift of a type IIB background with D7-branes to M-theory, exploring thermodynamics and transport in the MQGP limit, and provides new insights into stability and holographic duals.
Findings
Derived eta/s=1/4pi for the uplifted solution.
Confirmed thermodynamic stability via specific heat positivity.
Obtained diffusion constant ~1/T for both IIB/IIA backgrounds.
Abstract
For the Ouyang embedding we calculate the chemical potential mu_C due to a U(1) gauge field on the w.v. of N_f D7-branes wrapped around a 4-cycle in a resolved warped deformed conifold with (M)N (fractional)D3-branes of [1], and show the possible thermodynamical stability up to linear order in the embedding parameter. In the spirit of [2] we obtain the local type IIA mirror using SYZ mirror symmetry near (theta_{1,2},psi)=(<theta_{1,2}>,{0,2pi,,4pi}) and then oxidize the same to M theory. We take two limits of this uplift:(i)g_s,g_sN_f,g_sM^2/N,g_s^2M N_f<<1,g_sM,g_sN>>1 similar to [1] effected by M eps^{-3d/2}, N eps^{-19d},g_s epsn^d,d>0 and eps<=O(0.01);(ii)the `MQGP limit' g_sM^2/N<<1, g_sN>>1 for finite g_s,M, effected by: g_s eps, M eps^{-3d/2},N eps^{-39d},d>0, eps<~1). The second limit is more suited for the study of QGP (See [3]) and can only be addressed in M theory. The…
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