Hidden functional relation in large-N quark–monopole system at finite temperature Original Research Article

The quark–monopole potential is computed at finite temperature in the context of AdS/CFT correspondence. It is found that the potential is invariant under g→1/g and UT→UT/g. As in the quark–quark case there exists a maximum separation between quark and monopole, and L-dependence of the potential exhibits a bifurcation behavior. We find a functional relation dEQMReg/dL=1/E(1,0)Reg(U0)2+1/E(0,1)Reg(U0)2−1/2 which is responsible for the bifurcation. The remarkable property of this relation is that it makes a relation between physical quantities defined at the AdS boundary through a quantity defined at the bulk. The physical implication of this relation for the existence of the extra dimension is speculated.