Special contact Wilson loops
Special contact Wilson loops
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特殊接触威尔逊环
DOI：
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发表时间：
2002
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影响因子：
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通讯作者：
A. Mikhailov
中科院分区：
文献类型：
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作者：
A. Mikhailov
威尔逊循环在${\cal N}=4$超对称杨米尔斯理论对应于在强耦合的极值表面在$AdS_5$。我们研究了一类被称为特殊勒让德子流形的极值曲面。对应于圆形威尔逊回路的“半球”是一个特殊的勒让德子流形的例子，我们给出另一个例子。我们给出了AdS_5边界上的等高线是特殊Legendrian子流形边界的必要条件，并猜想这些条件实际上是充分的.我们称这些条件的解为“特殊接触威尔逊环”。特殊Legendrian子流形的一阶方程对Wilson环在特殊接触围线处的泛函导数施加了一个约束，这在强耦合的Yang-Mills理论中是必须满足的.
Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory correspond at strong coupling to extremal surfaces in $AdS_5$. We study a class of extremal surfaces known as special Legendrian submanifolds. The "hemisphere" corresponding to the circular Wilson loop is an example of a special Legendrian submanifold, and we give another example. We formulate the necessary conditions for the contour on the boundary of $AdS_5$ to be the boundary of the special Legendrian submanifold and conjecture that these conditions are in fact sufficient. We call the solutions of these conditions "special contact Wilson loops". The first order equations for the special Legendrian submanifold impose a constraint on the functional derivatives of the Wilson loop at the special contact contour which should be satisfied in the Yang-Mills theory at strong coupling.