Hanada Masanori, Nishimura Jun, Takeuchi Shingo
Department of Physics, Kyoto University, Kitashirakawa, Kyoto 606-8502, Japan.
Phys Rev Lett. 2007 Oct 19;99(16):161602. doi: 10.1103/PhysRevLett.99.161602. Epub 2007 Oct 18.
Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions makes it difficult to even formulate an appropriate lattice theory. We propose circumventing all these problems inherent in the lattice approach by adopting a nonlattice approach for one-dimensional supersymmetric gauge theories, which are important in the string or M theory context. In particular, our method can be used to investigate the gauge-gravity duality from first principles, and to simulate M theory based on the matrix theory conjecture.
超对称规范理论的格点模拟并非易事。在某些情况下，缺乏明显的超对称性仅仅需要繁琐的微调，但在更糟糕的情况下，费米子的手征性和/或马约拉纳性质使得甚至难以构建一个合适的格点理论。我们提议通过采用一种针对一维超对称规范理论的非格点方法来规避格点方法中固有的所有这些问题，这些理论在弦论或M理论背景下很重要。特别地，我们的方法可用于从第一原理研究规范 - 引力对偶性，并基于矩阵理论猜想模拟M理论。
