arXiv 1012.27602010-12-22hep-th

半经典三点关联函数在AdS_5 × S^5中的大自旋展开

Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5

J. G. Russo, A. A. Tseytlin

备注：: 17 pages
发表信息：: JHEP 1102:029,2011
DOI：: 10.1007/JHEP02(2011)029

摘要：

3-AdS_5 × S^5弦论中的点关联函数，其中两个态是“重”态（具有大的量子数），第三个态是“轻”态（这里选择为手征主标量），可以根据“轻”顶点算子半经典地计算，该“轻”顶点算子是由两个“重”算子产生的经典弦解计算的。我们观察到，在这种情况下，当“重”运营商代表BPS状态有一个模糊的计算取决于质量壳（或边缘性）的条件是强加之前或之后的世界表集成。我们表明，这种模糊性是解决在一个普遍的方式，通过定义的BPS相关的限制与非BPS的“重”的状态。我们考虑了几个例子，这些例子中的“重”态由AdS_5xS^5中的折叠或圆形自旋弦表示，当一个S^5自旋J比其他自旋J大得多时，它们承认存在点状BMN型极限。值得注意的是，在所有这些情况下的大J展开的3点相关具有相同的结构，预期在微扰（树级和一个回路）的双规范理论。我们推测，像领先的手征主相关项，前几个subleading项的系数也受到保护，即在强耦合和弱耦合下应该是相同的。

英文摘要：

3-point correlators in AdS_5xS^5 string theory in which two states are "heavy" (have large quantum numbers) and the third is "light" (here chosen as chiral primary scalar) can be computed semiclassically in terms of the "light" vertex operator evaluated on the classical string solution sourced by the two "heavy" operators. We observe that in the case when the "heavy" operators represent BPS states there is an ambiguity in the computation depending on whether the mass shell (or marginality) condition is imposed before or after integration over the world sheet. We show that this ambiguity is resolved in a universal way by defining the BPS correlator as a limit of the one with non-BPS "heavy" states. We consider several examples with "heavy" states represented by folded or circular spinning strings in AdS_5xS^5 that admit a point-like BMN-type limit when one S^5 spin J is much larger than the others. Remarkably, in all of these cases the large J expansion of the 3-point correlator has the same structure as expected in perturbative (tree-level and one-loop) dual gauge theory. We conjecture that, like the leading chiral primary correlator term, the coefficients of the first few subleading terms are also protected, i.e. should be the same at strong and weak coupling.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文