2011/12/21 by Alberto Faraggi, Wolfgang Mueck, Leopoldo A. Pando Zayas · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Antisymmetric relation #Black Holes and Theoretical Physics #Brane cosmology #Combinatorics #Effective action #Electric field #Electric flux #Gauge theory #Loop (graph theory) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Wilson loop #hep-th
paper · pdf · doi:10.1103/physrevd.85.106015
42 pages, one table
arxiv created 2011/12/21 · arxiv updated 2013/05/29
We systematically study the spectrum of excitations and the one-loop determinant of holographic Wilson loop operators in antisymmetric representations of N=4 supersymmetric Yang-Mills theory. Holographically, these operators are described by D5-branes carrying electric flux and wrapping an S4\ensuremath⊂S5 in the AdS5\ifmmode×\else\texttimes\fiS5 bulk background. We derive the dynamics of both bosonic and fermionic excitations for such D5-branes. A particularly important configuration in this class is the D5-brane with AdS2\ifmmode×\else\texttimes\fiS4 world volume and k units of electric flux, which is dual to the circular Wilson loop in the totally antisymmetric representation of rank k. For this Wilson loop, we obtain the spectrum, show explicitly that it is supersymmetric and calculate the one-loop effective action using heat kernel techniques.