Hidden functional relation in Large-N Quark-Monopole system at finite temperature

Abstract

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 $g\to 1/g$ and $U_T\to U_T/g$. 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 $d{E}_{QM}^{Reg}/dL=[(1/E_{(1,0)}^{Reg}(U_0){)}^2+(1/E_{(0,1)}^{Reg}(U_0){)}^2{]}^{-1/2}$ 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.

22 pages, 3 figures, v1 one more reference added v2 version to appear in NPB

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• Large N Field Theories, String Theory and Gravity
• Wilson Loop Correlator in the AdS/CFT Correspondence
• Gross-Ooguri Phase Transition at Zero and Finite Temperature: Two Circular Wilson Loop Case
• Winding Number Transition at Finite Temperature : Mottola-Wipf model with and without Skyrme term
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Cited by in corpus (2)

• String junctions in curved backgrounds, their stability and dyon interactions in SYM
• Quark-Monopole Potentials from Supersymmetric SL(3,R) Deformed IIB Supergravity