In this paper, a minimal surface in q-deformed AdS5 × S5 with a cusp boundary is studied in detail. This minimal surface is dual to a cusped Wilson loop in dual field theory. We find that the area of the minimal ...In this paper, a minimal surface in q-deformed AdS5 × S5 with a cusp boundary is studied in detail. This minimal surface is dual to a cusped Wilson loop in dual field theory. We find that the area of the minimal surface has both logarithmic squared divergence and logarithmic divergence. The logarithmic squared divergence cannot be removed by either Legendre transformation or the usual geometric subtraction. We further make an analytic continuation to the Minkowski signature, taking the limit such that the two edges of the cusp become light-like, and extract the anomalous dimension from the coefficient of the logarithmic divergence. This anomalous dimension goes back smoothly to the results in the undeformed case when we take the limit that the deformation parameter goes to zero展开更多
We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d = 3 N = 4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena （ABJM） theory. ...We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d = 3 N = 4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena （ABJM） theory. The partition function of the Af = 4 orbifold ABJM theory has been computed previously in the literature. In this paper, we re-derive it using a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and of circular 1/2 BPS Wilson loops in arbitrary representations. We use both the saddle point approach and Fermi gas approach. The results for Wilson loops are in accord with the available gravity results.展开更多
In this study,we compute the correlation functions of Wilson(-'t Hooft)loops with chiral primary operators in the N=4 supersymmetric Yang-Mills theory with SO(N)gauge symmetry,which has a holographic dual descript...In this study,we compute the correlation functions of Wilson(-'t Hooft)loops with chiral primary operators in the N=4 supersymmetric Yang-Mills theory with SO(N)gauge symmetry,which has a holographic dual description of the Type IIB superstring theory on the AdS_(5)×Rp^(5)background.Specifically,we compute the coefficients of the chiral primary operators in the operator product expansion of Wilson loops in the fundamental representation,Wilson-'t Hooft loops in the symmetric representation,Wilson loops in the anti-fundamental representation,and Wilson loops in the spinor representation.We also compare these results to those of the N=4 SU(N)super Yang-Mills theory.展开更多
基金Supported by National Natural Science Foundation of China(11105154,11222549,11275207)K.C.Wong Education Foundation and Youth Innovation Promotion Association of CAS
文摘In this paper, a minimal surface in q-deformed AdS5 × S5 with a cusp boundary is studied in detail. This minimal surface is dual to a cusped Wilson loop in dual field theory. We find that the area of the minimal surface has both logarithmic squared divergence and logarithmic divergence. The logarithmic squared divergence cannot be removed by either Legendre transformation or the usual geometric subtraction. We further make an analytic continuation to the Minkowski signature, taking the limit such that the two edges of the cusp become light-like, and extract the anomalous dimension from the coefficient of the logarithmic divergence. This anomalous dimension goes back smoothly to the results in the undeformed case when we take the limit that the deformation parameter goes to zero
基金Supported by NSFC(11222549,11575202)K.C.Wong Education FoundationYouth Innovation Promotion Association of CAS(2011016)
文摘We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d = 3 N = 4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena （ABJM） theory. The partition function of the Af = 4 orbifold ABJM theory has been computed previously in the literature. In this paper, we re-derive it using a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and of circular 1/2 BPS Wilson loops in arbitrary representations. We use both the saddle point approach and Fermi gas approach. The results for Wilson loops are in accord with the available gravity results.
基金Supported in part by the National Natural Science Foundation of China(11975164,11935009)Natural Science Foundation of Tianjin(20JCYBJC00910,20JCQNJC02030)。
文摘In this study,we compute the correlation functions of Wilson(-'t Hooft)loops with chiral primary operators in the N=4 supersymmetric Yang-Mills theory with SO(N)gauge symmetry,which has a holographic dual description of the Type IIB superstring theory on the AdS_(5)×Rp^(5)background.Specifically,we compute the coefficients of the chiral primary operators in the operator product expansion of Wilson loops in the fundamental representation,Wilson-'t Hooft loops in the symmetric representation,Wilson loops in the anti-fundamental representation,and Wilson loops in the spinor representation.We also compare these results to those of the N=4 SU(N)super Yang-Mills theory.
