Two-Dimensional Lattice for Four-Dimensional N=4 Supersymmetric Yang-Mills(Particles and Physics)

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概要

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• We construct a lattice formulation of a mass-deformed two-dimensional N=(8,8) super Yang-Mills theory with preserving two supercharges exactly. Gauge fields are represented by compact unitary link variables, and the exact supercharges on the lattice are nilpotent up to gauge transformations and SU(2)_R rotations. Due to the mass deformation, the lattice model is free from the vacuum degeneracy problem, which was encountered in earlier approaches, and flat directions of scalar fields are stabilized giving discrete minima representing fuzzy S^2. Around the trivial minimum, quantum continuum theory is obtained with no tuning, which serves a nonperturbative construction of the IIA matrix string theory. Moreover, around the minimum of k-coincident fuzzy spheres, four-dimensional N=4U(k) super Yang-Mills theory with two commutative and two noncommutative directions emerges. In this theory, sixteen supersymmetries are broken by the mass deformation to two. Assuming the breaking is soft, we give a scenario leading to undeformed N=4 super Yang-Mills on R^4 without any fine tuning. As an evidence for the validity of the assumption, some computation of 1-loop radiative corrections is presented.

• 2011-10-25

著者

• SUGINO Fumihiko

  Okayama Institute for Quantum Physics

• Hanada Masanori

  Department Of Neuropsychiatry Kinki University School Of Medicine

• Matsuura So

  Department Of Physics And Research And Education Center For Natural Science Keio University

• Sugino Fumihiko

  Okayama Inst. For Quantum Physics Okayama Jpn

• MATSUURA So

  Department of Physics, and Research and Education Center for Natural Science, Keio University

• HANADA Masanori

  Department of Particle Physics and Astrophysics, Weizmann Institute of Science:Department of Physics, University of Washington

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