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Phys. Rev. Lett. 80, 2758–2761 (1998)

Supersymmetric Gauge Theories with an Affine Quantum Moduli Space

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Gustavo Dotti and Aneesh V. Manohar
Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, California 92093-0319

Received 3 December 1997; published in the issue dated 30 March 1998

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 (i.e., moduli space equal to a single point) are the two known examples, SU(5) with 5̅ +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 nontrivial relation among the gauge invariants.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.2758
DOI:
10.1103/PhysRevLett.80.2758
PACS:
11.30.Pb, 11.15.-q