大N的威尔逊循环和量子M2膜
Simone Giombi1, Arkady A Tseytlin2
1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
Physical review letters
|June 2, 2023
概括
这项研究将量子场论中的威尔逊循环预期值与M理论中的M2膜预测相匹配. 它通过准确地复制数值前因子来证实全息二元性,验证量子M2膜计算.
科学领域:
- 高能物理学的高能物理
- 弦理论中的弦理论.
- 量子场理论是量子场理论.
背景情况:
- U(N) _k × U(N) _{-k} ABJM理论是一个量子场理论,在M理论中具有全息双重描述.
- 威尔逊循环运算符对于探测量子场理论的属性至关重要.
研究的目的:
- 将ABJM理论中的威尔逊循环预期值与其双M2膜描述进行比较.
- 通过检查领先和子领先项来验证全息二元性.
主要方法:
- 在ABJM理论中利用1/2-BPS圆形威尔逊循环的局部化结果.
- 将量子场理论结果与AdS4 × S7/Zk.中包装的M2膜溶液的经典和单环贡献进行比较.
主要成果:
- 威尔逊循环预期值的领先的大N指数因子与M2膜的经典作用相匹配.
- 附带的k-依赖的前因子被M2膜分区函数的单循环项完全复制,包括Kaluza-Klein模式.
结论:
- 本文介绍了威尔逊循环预期值与其双重全息预测的整体数值前因子的首次准确匹配.
- 这些发现为一致的量子M2膜计算提供了证据,并为未来的研究和概括提供了途径.
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