Z(N) Domain walls in hot N=4 SYM at weak and strong coupling

Abstract

We study the tensions of domain walls in the deconfined phase of N=4 SUSY Yang-Mills theory on R^3 x S^1, at weak and strong coupling. We calculate the k-wall tension at one-loop order and find that it is proportional to k(N-k) (Casimir scaling). The two-loops analysis suggests that Casimir scaling persists to this order. The strong coupling calculation is performed by using the AdS/CFT correspondence. We argue that the k-wall should be identified with an NS5-brane wrapping an S^4 inside S^5 in the AdS-Schwarzschild x S^5 background in Type IIB string theory. The tension at strong coupling is compared with the weak coupling result. We also compare our results with those from lattice simulations in pure Yang-Mills theory.

29 pages, 2 figures; v2: normalization of strong-coupling tension formula corrected, equations 5.14, 5.16 and 5.17 clarified; v3: regularisation of eq.(3.31) corrected. Conclusions unchanged

References in corpus (26)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Dielectric-Branes
• Baryons And Branes In Anti de Sitter Space
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Branes And The Dynamics Of QCD
• Holographic Wilson Loops
• All-genus calculation of Wilson loops using D-branes
• Wilson Loops, Confinement, and Phase Transitions in Large N Gauge Theories from Supergravity
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Higher rank Wilson loops from a matrix model
• Anti-de Sitter Space and the Center of the Gauge Group
• On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
• Baryons and String Creation from the Fivebrane Worldvolume Action
• Z(N) interface tension in a hot SU(N) gauge theory
• Baryons and Flux Tubes in Confining Gauge Theories from Brane Actions
• Multiply wound Polyakov loops at strong coupling
• Spatial 't Hooft loop, hot QCD and Z_N domain walls
• Constrained effective potential in hot QCD
• 't Hooft and Wilson loop ratios in the QCD plasma
• Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop
• Anomalous Dimensions from a Spinning D5-Brane
• Spatial 't Hooft loop to cubic order in hot QCD II
• Casimir scaling of domain wall tensions in the deconfined phase of D=3+1 SU(N) gauge theories
• Spatial 't Hooft loop to cubic order in hot QCD
• No $Z_N$ - bubbles in hot Yang-Mills theory

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• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• On Classification of QCD defects via holography
• Zero interface tension at the deconfining phase transition for a matrix model of a $SU(\infty )$ gauge theory
• Fate of Z(N) walls in hot holographic QCD
• Domain Walls and Metastable Vacua in Hot Orientifold Field Theories
• Spatial 't Hooft loop in hot SUSY theories at weak coupling