Towards MQGP

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 uplift gives a black M3-brane solution whose near-horizon geometry near theta_{1,2}=0,pi-branches, preserves 1/8 SUSY. We obtain eta/s=1/4pi for the uplift and the diffusion constant for types IIB/IIA backgrounds comes out to be ~1/T, for both limits. The D=11 SUGRA action up to O(R^4,|G_4|^2) is expected to receive dominant contributions near <theta_{1,2}>=0,pi due to poles. Introducing a small-angle cut-off c and using the <theta_{1,2}>=c,(pi-c)-local uplift the specific heat from the IR-finite part of the action (c-independent) turns out to be positive indicative of the thermodynamical stability of the uplift. An ALD-gravity-type interpretation can be given to the counter-terms for(i). Its verified that the black M3-brane entropy S r_h^3 from M-theoretic thermodynamical methods and the horizon areas of types IIB/IIA/M3-brane solutions.Comment: 1+58 pages, LaTeX; v4 some minor corrections, results unchange

Resolved warped deformed conifolds and large-N thermal QCD via black M3-branes

“…The first two were studies in 7 . The last has been studied in 17 : In the context of scalar metric perturbations, there are three gauge transformations that preserve h μu = 0, for the black M 3-brane metric having integrated out the M 6 in the AdS 5 × M 6 in the MQGP limit of 6 , and along with metric perturbations,H …”

“…; g i 's demonstrate the presence of a black hole and are given as: 2 5 , corresponding to a resolved deformed conifold, is defined in 3,6 . In the same as the deformation term appears as 'h 5 ∼ (def.…”

“…The discussion about possibility of getting a local isometry along a third direction and the large base of fibration is given in 6 . We looked at the five SU (3) structure torsion classes W 1,2,3,4,5 11 of the resolved warped deformed conifold in 7 .…”

“…, with the toriodal coordinates (x, y, z) defined in 6 . We hence see that in the UV, locally w.r.t.…”

M-theory exotic scalar glueball decays to mesons at finite coupling

“…In this paper we have obtained the decay width for 'exotic' scalar glueball by explicitly computing the couplings between scalar glueballs and mesons by using [1]'s M-theory uplift of [2]'s type IIB holographic dual of large-N thermal QCD at finite gauge coupling. In the past few decades AdS/CFT correspondence [3] and its generalization -gauge/gravity duality -has been used extensively to study non-supersymmetric gauge field theories.…”