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Supersymmetric Gauge Theories with an Affine Quantum Moduli Space

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abstract

All supersymmetric gauge theories based on simple groups which have an affine quantum moduli space, i.e. one generated by gauge invariants with no relations, W=0, and anomaly matching at the origin, are classified. It is shown that the only theories with no gauge invariants (and moduli space equal to a single point) are the two known examples, SU(5) with 5-bar + 10 and SO(10) with a spinor. The index of the matter representation must be at least as big as the index of the adjoint in theories which have a non-trivial relation among the gauge invariants.

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2026 1

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representative citing papers

AMSB in Truly Confining Gauge Theories

hep-th · 2026-08-06 · conditional · novelty 6.0

Adding small AMSB to t-confining SUSY gauge theories moves the ground state to a superpotential branch and predicts discrete and flavor symmetry breaking such as Z6 to Z2 and Z16 x SU(2) to SO(2).

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  • AMSB in Truly Confining Gauge Theories hep-th · 2026-08-06 · conditional · none · ref 32 · internal anchor

    Adding small AMSB to t-confining SUSY gauge theories moves the ground state to a superpotential branch and predicts discrete and flavor symmetry breaking such as Z6 to Z2 and Z16 x SU(2) to SO(2).