ℤNdomain walls in hot 𝒩 = 4 SYM at weak and strong coupling

2008/12/31 by Adi Armoni, S. Prem Kumar, Jefferson M. Ridgway
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/01/076

published as JHEP 0901:076,2009 · 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

openalex publication_date 2009/01/28 · arxiv created 2009/02/12 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We study the tensions of domain walls in the deconfined phase of N=4 SUSY Yang-Mills theory on R³ x S¹, 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 S⁴ inside S⁵ in the AdS-Schwarzschild x S⁵ 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.

Citations

• On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
• Z(N) interface tension in a hot SU(N) gauge theory
• Baryons And Branes In Anti de Sitter Space
• No Z_N - bubbles in hot Yang-Mills theory