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We study the conserved charge fluctuations, as quantified by thecorresponding susceptibilities, in strongly interacting matter as motived bythe quark-gluon plasma. Using the gauge-gravity correspondence approach, westudy the patterns of conserved charge fluctuations in two types of holographicmodels for QCD, the D4/D8 and the D3/D7 models. We compute and compare thequark number susceptibilities in both models and find an interesting commonfeature of the two: at very strong coupling higher order susceptibilities aresuppressed and the conserved charge fluctuations become purely Guassian. Inlight of the state-of-the-art lattice QCD results we also discuss what we canlearn from these susceptibilities about the underlying degrees of freedom inthe $1\sim 2T_c$ quark-gluon plasma and examine the viability of differentideas such as holography, quasi-particles, as well as bound states. Fromanalyzes of second order susceptibilities we conclude that the bound statesexist and are important in the $1\sim 2T_c$ region. We further construct andmake predictions for several ratios of fourth-order susceptibilities that cansensitively reveal such bound states.

Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter