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Exact discreteness and mass gap of N = 1 symplectic Yang-Mills from M-theory

✍ Scribed by L. Boulton; M.P. García del Moral; A. Restuccia


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
101 KB
Volume
55
Category
Article
ISSN
0015-8208

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✦ Synopsis


Abstract

In this note we summarize some of the results found recently in [1]. We show the pure discreteness of the non‐perturbative quantum spectrum of a symplectic Yang‐Mills theory defined on a Riemann surface of positive genus, living in a target space that, in particular, can be 4D. This theory corresponds to the membrane with central charges. The presence of the central charge induces a confinement in the phase at zero temperature. When the energy rises, the center of the group breaks and the theory enters in a quark‐plasma phase after a topological transition, corresponding to the N = 4 wrapped supermembrane.