Composing arbitrarily many SU(N) fundamentals

نویسندگان

چکیده

We compute the multiplicity of irreducible representations in decomposition tensor product an arbitrary number n fundamental SU(N), and we identify a duality representation content this decomposition. Our method utilizes mapping SU(N) to states free fermions on circle, can be viewed as random walk multidimensional lattice. also derive large-n limit response system external non-abelian magnetic field. These results used study phase properties ferromagnets take various scaling limits.

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ژورنال

عنوان ژورنال: Nuclear Physics B

سال: 2023

ISSN: ['1873-1562', '0550-3213']

DOI: https://doi.org/10.1016/j.nuclphysb.2023.116314