Holographic cusped Wilson loops in q-deformed AdS5&times; S5 spacetime

BAI Nan; CHEN Hui-Huang; WU Jun-Bao

doi:10.1088/1674-1137/39/10/103102

Chinese Physics C> 2015, Vol. 39> Issue(10) : 103102 DOI: 10.1088/1674-1137/39/10/103102

Holographic cusped Wilson loops in q-deformed AdS₅× S⁵ spacetime

BAI Nan ^1,, ,
CHEN Hui-Huang ^2,, ,
WU Jun-Bao ^3,,

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Abstract：
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.

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BAI Nan, CHEN Hui-Huang and WU Jun-Bao. Holographic cusped Wilson loops in q-deformed AdS₅× S⁵ spacetime[J]. Chinese Physics C, 2015, 39(10): 103102. doi: 10.1088/1674-1137/39/10/103102

BAI Nan, CHEN Hui-Huang and WU Jun-Bao. Holographic cusped Wilson loops in q-deformed AdS₅× S⁵ spacetime[J]. Chinese Physics C, 2015, 39(10): 103102. doi: 10.1088/1674-1137/39/10/103102 shu

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Received: 2015-10-21
Revised: 2015-05-30

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Holographic cusped Wilson loops in q-deformed AdS₅× S⁵ spacetime

Corresponding author: BAI Nan,

Corresponding author: CHEN Hui-Huang,

Corresponding author: WU Jun-Bao,

Received Date: 2015-10-21

Accepted Date: 2015-05-30

Available Online: 2015-10-10

Abstract: 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.

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Holographic cusped Wilson loops in q-deformed AdS₅× S⁵ spacetime

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Holographic cusped Wilson loops in q-deformed AdS₅× S⁵ spacetime

Corresponding author: BAI Nan,

Corresponding author: CHEN Hui-Huang,

Corresponding author: WU Jun-Bao,

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