Vacuum Structures Revisited
arXiv:2110.13156 · doi:10.1007/978-3-031-47417-0_35
Abstract
We consider the relationship between the higher symmetry and the dynamical decomposition in supersymmetric gauge theory in various dimensions by studying the semi-classical potential energy. We observe that besides the scalar moduli we shall also include the field strength in the vacuum moduli in the 1+d dimensional theory along with a -form symmetry. In gauge theory for charge- matters with this symmetry, we find that the vacua decompose into different universes at an intermediate scale, which means no dynamical domain wall can interpolate between them. In our setup, we re-derive the existing results on the decomposition in various dimensions. In four dimensions, we propose a UV gauge theory for the generalized super Yang-Mills theory, whose instanton sectors are restricted to the topological number with integer multiples of .
arXiv comment17 pages; V2: references added; V3:Improved English, Corrected typos, added additional details in sections 2.3 and 4
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